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Tune in to find out! twitch.tv/matu4as...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2407991/ffea711568c9b74e19446de30620bf8a/564x318_1"},"target":"_self","position":"0","reqid":"1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DX7toeqBxj64","linkTemplate":"/video/preview/11798351534572522171?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Opening Cases Until I Get a Knife #6 #counterstrike #case #cs2moments #twitch #cs2 #csgo","related_orig_text":"Matu4as","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Matu4as\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=X7toeqBxj64\",\"src\":\"serp\",\"rvb\":\"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_v8CAPwAEAUHB_wBGAAOCfYCAgDaAfb_-vkDAAkLB_QAAQAABAb3AQIAAAD3APUC-v8AAAP7_AIEAAAAEgMRAP4AAAD4BvkA_gEAAP3-BfMCAAAA9vH7CP8AAAD8AQMG_v8AABn1AwEBAAAACPP5AgAAAAAgAC0zINc7OBNACUhOUAIqcxAAGmAjHAAeAATn7O8w6Pfu9wUIB873-vwSACcMAA0e2vEJIvq0DRH_QvsKFr4AAAAICcIuCgDwSRgL4gb39__l79kGG3_zANANDTrVOAYkGR4jMgf_JusAAQsY-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-EEAAADCAAAAwAAAMEIAAGBBAACWwgAAYEEAABhCAAAAwAAA4EEAAEDAAAB0QgAA4MEAAIzCAAAAwAAAZEIAAKBCAABgwQAAbMIAAABAAAAAwQAAQEIAADDBAABAwQAAoMIAAIRCAAA8QgAAMMEAAIjBAADYwQAASMIAALhBAABYwgAAGMIAAIC_AACgQQAAkEEAAIC_AABwwgAAIMIAABDBAABAQAAAQEAAAHBBAAAIQgAASEIAAMhBAACgwQAAOEIAAJhBAAAAwAAAqEEAAIjBAADoQQAAmMEAAFBBAAD4wQAAhsIAAJrCAAAAAAAAmEEAABDBAADwQQAAeMIAAOhBAAA4wgAAVMIAAGBBAAAgwgAAEEEAALjBAADuwgAA6EEAAJBBAADAwAAAkMEAAADAAAAAwgAAAMIAAOBBAAB4QgAAoMEAABRCAAC4wQAAosIAADBCAABgwQAAqMEAALBBAADQwQAAAMEAACDBAAAgQQAADMIAAJBCAADowQAAoEEAAAAAAAAAQAAAhMIAAEBAIAA4E0AJSHVQASqPAhAAGoACAABAPAAAyD0AAM4-AABAPAAAcL0AAIi9AAAMvgAAB78AAES-AAAwPQAAqD0AAEA8AACgPAAABD4AAOi9AAAUvgAAmj4AAOC8AACIPQAAij4AAH8_AACgPAAAoLwAAEw-AAB0vgAAgr4AADQ-AADgPAAAoDwAALg9AAAQPQAAPD4AAIi9AACYPQAAQLwAAIa-AAAwPQAABD4AAGS-AACIvQAAMD0AALi9AAC2PgAAyL0AAEA8AACOPgAAdD4AAFy-AABsPgAAoLwAAOY-AAA8PgAAXD4AAOg9AAB8vgAA-L0AACE_AACAOwAATL4AADw-AADIPQAABL4AAKg9AACAuyAAOBNACUh8UAEqjwIQARqAAgAA0r4AAOi9AACgvAAAW78AALg9AADoPQAAfL4AAIA7AAC4vQAATD4AAJg9AADIPQAAJL4AAHy-AADovQAAqD0AAI6-AABvPwAAqL0AANg9AAAUPgAAXL4AADQ-AACYvQAAUL0AAII-AADqvgAATD4AAJg9AABEvgAAED0AADC9AABsPgAA4LwAAAc_AADovQAAnj4AAIK-AACCvgAAUL0AAGQ-AACGvgAAfL4AAEy-AACCvgAAHL4AAH-_AADYPQAAML0AABy-AACovQAAZL4AAFA9AACaPgAAoDwAAIg9AACYvQAAQLwAADw-AADovQAAqL0AAJK-AACAuwAAmj4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=X7toeqBxj64","parent-reqid":"1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["11798351534572522171"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9964719665358814097":{"videoId":"9964719665358814097","docid":"34-4-17-Z321318915AF67063","description":"Rehber Matematik ile 49 Günde TYT Matematik Kampı nda 19.Gün konumuz Üslü Sayılar Üslü Sayılar Soru çözümü yapıyoruz. Üslü Sayılar çıkmış soru tarzlarını Üslü Sayılar ÖSYM Tipi sorularını Üslü...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2129470/8a163905b305ef37405a4e9664bd0c05/564x318_1"},"target":"_self","position":"1","reqid":"1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=videoid:9964719665358814097","teaser":[{"list":{"type":"unordered","items":["Bu video, Mehmet Hoca tarafından sunulan TYT matematik kampının 19. günüdür. Öğretmen, üslü sayılar konusunu detaylı bir şekilde anlatmaktadır.","Videoda üslü sayılar konusu, ÖSYM tipi sorular ve problemlerle harmanlanmış soru tipleriyle ele alınmaktadır. Öğretmen, bayi toplantısı, bilgisayar RAM'leri, güvercin ve ağaç boyu, okullardaki öğrenci sayısı, fabrika işçi alım ilanı, madeni paraların eşit paylaştırılması gibi çeşitli problem tiplerini adım adım çözmektedir.","Video, üslü sayıların özellikleri, dört işlem kuralları ve tabanda-üstte kullanımı üzerinde durmaktadır. Öğretmen, öğrencilere soruları önce kendilerinin çözmelerini, sonra da kendisinin çözümünü göstermesini önermekte ve ÖSYM'nin bu konuyu iki yıl üst üste sorduğu bilgisini paylaşmaktadır. Video sonunda üslü denklemler ve eşitsizlikler konularının da işleneceği belirtilmektedir."]},"endTime":2593,"title":"TYT Matematik Kampı: Üslü Sayılar Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Üslü Sayılar Kampı","list":{"type":"unordered","items":["Mehmet Hoca, TYT matematik kampının 19. gününde üslü sayılar konusunu ele alıyor.","Önceki derste üslü sayılarda dört işlem öğretilmiş ve yeni nesil sorular çözülmüş.","Bu derste üslü sayılarda çıkmış soru tarzları, yeni nesil sorular ve üslü sayıyla problemin harmanlanmış soru tipleri çözülecek."]},"beginTime":0,"endTime":92,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=0&ask_summarization=1"},{"index":1,"title":"Üslü Sayılarla Problem Çözümü","list":{"type":"unordered","items":["Bir bayi toplantısında 81 ilin her birinden eşit sayıda kişi katılıyor ve 243 odalı bir otelde her odada 3 kişi kalacak şekilde yerleştiriliyor.","Toplam insan sayısı 243×3=729 olarak hesaplanıyor ve her ilden 729÷81=9 kişi katılmıştır.","Üslü sayılarla problem çözme konusunda adım adım çözüm gösteriliyor."]},"beginTime":92,"endTime":184,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=92&ask_summarization=1"},{"index":2,"title":"Üslü İfadelerle Sayı Silme Problemi","list":{"type":"unordered","items":["Şakir, tahtaya yazılı olan sayıları birbirine eşit olanları siliyor ve son durumda tahtada yazılı olan sayıyı buluyor.","Verilen sayılar üslü ifadeye çevriliyor: 27²⁰=3⁶⁰, 81¹⁵=3⁶⁰, 243¹²=3⁶⁰, 9²⁵=3⁵⁰, 729¹⁰=3⁶⁰.","Benzer üslü ifadeler silinerek son durumda tahtada 9²⁵ sayısı kalıyor."]},"beginTime":184,"endTime":315,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=184&ask_summarization=1"},{"index":3,"title":"Nüfus Azalma Problemi","list":{"type":"unordered","items":["Nüfusu 8192 olan bir tatil beldesinin nüfusu yazın bitmesiyle her hafta bir çeyrek oranında azalmıştır.","Yaz bittikten altı hafta sonra kalan nüfus hesaplanıyor.","Nüfus azalması için 8192×(3/4)⁶ formülü kullanılıyor."]},"beginTime":315,"endTime":473,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=315&ask_summarization=1"},{"index":4,"title":"Üslü Sayılar ve Bilgisayar Teknolojileri","list":{"type":"unordered","items":["Bilgisayar RAM'leri ve ekran kartları 2'nin kuvvetleriyle artmaktadır: 256 GB, 512 GB, 1024 GB gibi.","2 üzeri 11 (2048) ekran kartı hala piyasada bulunurken, 2 üzeri 12 (4096) ekran kartı daha yeni nesildir.","Bir sonraki nesil ekran kartları 2 üzeri 13 (8192) olacak."]},"beginTime":476,"endTime":559,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=476&ask_summarization=1"},{"index":5,"title":"Üslü Sayılarla İşlem Örneği","list":{"type":"unordered","items":["Üslü sayılarla ilgili bir soruda 2 üzeri 13 ile 2 üzeri 12 arasındaki fark 2 olarak bulunmuştur.","2 çarpı 3 üzeri 6 işlemi yapılarak 14458 sonucu elde edilmiştir.","ÖSYM tipi sorularda işlem balığına alışmak önemlidir."]},"beginTime":559,"endTime":621,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=559&ask_summarization=1"},{"index":6,"title":"Üslü Sayılarla İlgili ÖSYM Sorusu","list":{"type":"unordered","items":["Bir ağacın üzerinde duran bir güvercin her kanat çırpışında aynı uzunlukta ağaçtan yukarıya doğru yükseliyor.","Güvercin 54 defa kanat çırpışında yerden yüksekliğinin görüntüsü verilmiş, 216 defa kanat çırpışında ise 4×3 üzeri 5 cm yüksekliğe ulaşmıştır.","Her kanat çırpışında güvercin 3 cm yukarı çıkıyor ve ağacın boyu 324 cm olarak hesaplanmıştır."]},"beginTime":621,"endTime":923,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=621&ask_summarization=1"},{"index":7,"title":"Okul Öğrencileri ve Otobüs Problemi","list":{"type":"unordered","items":["Bir ildeki 324 okulda her okulda 36 sınıf ve her sınıfta 18 öğrenci bulunuyor.","Belediyenin sahip olduğu 27 kişi kapasiteli otobüslerle tüm öğrencilerin otobüslerin tam doldurulması koşuluyla kaç otobüsle götürüleceği hesaplanıyor.","Öğrenci sayısı (324 okul × 36 sınıf × 18 öğrenci) otobüs kapasitesine (27 kişi) bölünerek sonuç bulunuyor."]},"beginTime":930,"endTime":986,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=930&ask_summarization=1"},{"index":8,"title":"Üslü Sayılarla Çözüm","list":{"type":"unordered","items":["324 sayısı 2² × 3⁴ şeklinde, 36 sayısı 2² × 3², 18 sayısı 2 × 3² şeklinde ifade ediliyor.","Üslü sayılarla işlem yaparak sonuç 6²⁵ olarak bulunuyor.","Bu soru tipi ÖSYM sınavlarında iki yıl üst üste sorulmuş."]},"beginTime":986,"endTime":1079,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=986&ask_summarization=1"},{"index":9,"title":"Fabrika İşçi Alımı Problemi","list":{"type":"unordered","items":["Bir fabrikanın işçi alım ilanına internet üzerinden 25 bin kişi başvurmuş.","Başvuruda bulunan kişilere sırasıyla beş soruluk bir sınav yapılmış ve her sorunun başvuruda bulunan 3/5'i elenmiş.","Beş soru sonunda kalan kişiler yüz yüze görüşme için fabrikaya davet edilmiş."]},"beginTime":1079,"endTime":1112,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=1079&ask_summarization=1"},{"index":10,"title":"Üslü Sayılarla Çözüm","list":{"type":"unordered","items":["Her soruda 2/5'i kalıyor, bu nedenle kalanların sayısı 25 bin × (2/5)⁵ şeklinde hesaplanıyor.","Üslü sayılarla işlem yaparak sonuç 2³ × 5⁵ = 2⁵ × 5⁵ = 2¹⁰ × 5¹⁰ = 2²⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2²⁰⁰ × 5²⁰ = 2⁴⁰ × 5²⁰ = 2⁶⁰ × 5²⁰ = 2⁸⁰ × 5²⁰ = 2¹⁰⁰ × 5²⁰ = 2"]},"beginTime":1112,"endTime":1371,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=1112&ask_summarization=1"},{"index":11,"title":"Üslü Sayılar Sorusu Çözümü","list":{"type":"unordered","items":["ÖSYM, öğrencilerin zaman kaybetmesini istemediği soruları sormaz, ancak çözemeyecekleri soruları sormaya çalışır.","Soruda beş'in kuvvetleri arasında farkı yirmi olan bir çip var ve beş üzeri yedi yapabilmesi için en tepeye yazabileceğimiz en büyüğü üç.","Dört tane sayı kaldı, iki tane işlem var ve rasyonel ifadelerin paydası yüzyirmibeş olacak şekilde beş üzeri üç ve beş üzeri sıfır değerleri kullanılır."]},"beginTime":1374,"endTime":1500,"href":"/video/preview/9964719665358814097?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=1374&ask_summarization=1"},{"index":12,"title":"Yorum Sorusu Çözümü","list":{"type":"unordered","items":["Tuncay öğretmen, a, b, c sayıları ile yapılan işlemlerin sonuçlarının bulunduğu aralıkları sayı doğrusunda gösteriyor.","Basit kesir, payı küçük ve paydası büyük olan sayılardır ve sıfır ile bir açık aralığı içerisinde olmak zorundadır.","A 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Öğretmen, üslü sayıların tanımı, taban-üst kavramları, sıfırın kuvvetleri, birin kuvvetleri, eksi sayıların kuvvetleri, negatif sayıların tek ve çift kuvvetleri, üslü ifadelerin çarpılması, bölünmesi, toplama-çıkarma işlemleri ve üslü ifadelerin birbirine dönüştürülmesi gibi konuları örneklerle açıklamaktadır.","Video, 100 numaralı sayfadan başlayarak 13. soruya kadar devam etmekte ve 103. sayfaya kadar ilerlemiş bir ders kitabının içeriğini kapsamaktadır. Ayrıca, bir sonraki derste üslü sayılar 2 ve 3 konularının işleneceği belirtilmektedir. Video sonunda Mehmet Hoca'nın Kurban Bayramı'nın ikinci günü Urla'ya yaptığı gezi gösterilmektedir."]},"endTime":3779,"title":"TYT Matematik Kampı: Üslü Sayılar Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"TYT Matematik Kampı Tanıtımı","list":{"type":"unordered","items":["Mehmet Hoca, TYT matematik kampının 18. gününde üslü sayılar konusunu ele alacaklarını belirtiyor.","Kamp sadece kitapları bitirmek değil, sınav sürecinde birlikte büyüme ve öğrenme süreci olarak tanımlanıyor.","Temmuz 1'den sınavın gününe kadar YouTube, Instagram ve Sercan Hoca'nın paylaştığı videolarda adım adım sınav süreci paylaşılacak."]},"beginTime":0,"endTime":104,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=0&ask_summarization=1"},{"index":1,"title":"Üslü Sayılar Tanımı","list":{"type":"unordered","items":["Üslü sayılar, x gerçek sayı ve n doğal sayı olmak üzere, x sayısının yan yana n tane çarpımı olarak tanımlanır.","Üslü ifadede üst, çarpım sayısını; taban ise çarpılan sayıyı gösterir.","Örneğin, 2×2×2×2×2×2×2×2×2×2 ifadesi 2¹⁰ şeklinde yazılır."]},"beginTime":104,"endTime":153,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=104&ask_summarization=1"},{"index":2,"title":"Üslü Sayılar Özellikleri","list":{"type":"unordered","items":["2, 4, 8, 16, 32, 64, 128, 256, 512, 1048, 2048, 4048, 8048, 1648, 2564, 5128, 10248, 201648, 401648, 801648, 16248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 201648, 401648, 801648, 10248, 20148, 401648, 801648, 10248, 20148, 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olur."]},"beginTime":316,"endTime":390,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=316&ask_summarization=1"},{"index":4,"title":"Kuvvet İşlemleri Örnekleri","list":{"type":"unordered","items":["Eksi beşin üçüncü kuvveti eksi yirmibeş olur çünkü tek kuvvettir.","Eksi birin çift kuvveti artı bir, tek kuvveti ise eksi bir olur.","Eksi üçün sıfırıncı kuvveti bir, karesi ise dokuz olur."]},"beginTime":390,"endTime":498,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=390&ask_summarization=1"},{"index":5,"title":"Kuvvet Problemleri","list":{"type":"unordered","items":["Bir üzeri altı bir, eksi iki'nin yedi kuvveti eksi yüzyirmisekiz, eksi üçün dördüncü kuvveti ise artı seksenbir olur.","Matematik öğrenirken rahat olmak önemlidir.","Yapamadığın sorulara çözümlerine bakarak geliştirmelisin."]},"beginTime":498,"endTime":602,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=498&ask_summarization=1"},{"index":6,"title":"Kuvvet Problemi Çözümü","list":{"type":"unordered","items":["Bir sayının sıfırıncı kuvveti her zaman bir olur.","Bir sayının herhangi bir kuvveti bir olabilir, ancak taban sıfırdan farklı olmalıdır.","Eksi birin çift kuvveti her zaman bir olur.","Verilen problemde a sayısının alabileceği değerler kümesi {0, 1, 3} olarak bulunur."]},"beginTime":602,"endTime":765,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=602&ask_summarization=1"},{"index":7,"title":"Üslü İfadelerde Ters İşlem","list":{"type":"unordered","items":["Bir sayının çarpma işlemine göre tersi, sayının tersi olarak yazılır ve aynı zamanda sayının eksi bir kuvveti olarak da gösterilebilir.","Sıfırın tersi belirsizlik oluşturur, bu nedenle dikkat edilmelidir.","Üslü ifadelerde eksi işaretini kaldırmak için sayının tersi alınır ve üs pozitif hale getirilir."]},"beginTime":778,"endTime":825,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=778&ask_summarization=1"},{"index":8,"title":"Üslü İfadelerde İşlemler","list":{"type":"unordered","items":["Üslü ifadelerde eksi işaretini kaldırmak için sayının tersi alınır ve üs pozitif hale getirilir.","Üslü ifadelerde kuvvet alma işlemi yapılırken, üs pozitif olduğunda sayı kendisiyle çarpılır.","Tek sayıda eksi işaretini kaldırmak mümkün değildir, bu nedenle eksi işaretini içeren ifadelerde eksi işareti kalır."]},"beginTime":825,"endTime":918,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=825&ask_summarization=1"},{"index":9,"title":"Yeni Nesil Sorular","list":{"type":"unordered","items":["Yeni nesil sorularda üslü ifadelerle ilgili işlemler yaptıracak hamleler bulunur.","Üslü ifadelerde işlem yaparken önce eksi işaretini kaldırmak, sonra kuvvet alma işlemi yapmak gerekir.","Üslü ifadelerde bölme işlemi yaparken, birinci sayı aynen yazılır, ikinci sayı tersi alınır ve bölme işlemi yapılır."]},"beginTime":918,"endTime":1163,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=918&ask_summarization=1"},{"index":10,"title":"Üslü İfadelerde Özellikler","list":{"type":"unordered","items":["Üslü ifadelerde a üzeri x üssü y ifadesi, a üzeri (x çarpı y) şeklinde yazılabilir.","Bir üstü sayının kuvveti alındığında üstler çarpılır."]},"beginTime":1163,"endTime":1194,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=1163&ask_summarization=1"},{"index":11,"title":"Üslü Sayılar Problemi Çözümü","list":{"type":"unordered","items":["İki üssü a eşittir dokuz'un karesi (üç üssü dört) ve üç üssü b eşittir beş olarak verilmiştir.","Her iki denklemin de dördüncü kuvveti alınarak ve ortak terimler bulunarak, iki üssü a çarpı b çarpı c eşittir beş üssü dört c eşitliği elde edilmiştir.","Beş üssü c yerine iki üzeri dokuz yazarak ve her iki denklemin de dördüncü kuvveti alınarak, iki üssü abc çarpımı iki üzeri otuzaltı'ya eşit olduğu bulunmuştur."]},"beginTime":1202,"endTime":1406,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=1202&ask_summarization=1"},{"index":12,"title":"Üslü Sayıları Sıralama","list":{"type":"unordered","items":["X, y, z sayıları küçükten büyüğe sıralanmak isteniyor ve iki üzeri otuzüçbindörtyüz euro sayıları karşılaştırılıyor.","Üstleri birbirine eşitlemek için, x sayısını iki üzeri üç üssü on, y sayısını üç üzeri iki üssü on şeklinde yazarak karşılaştırma yapılmıştır.","En büyük sayı y, sonra x, en küçük sayı z olarak sıralanmıştır."]},"beginTime":1406,"endTime":1514,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=1406&ask_summarization=1"},{"index":13,"title":"Üslü Sayılar Problemi","list":{"type":"unordered","items":["Canan tahtaya yazdığı beş sayıdan her birini üslü sayı olarak ifade ediyor ve dördünü sildiğinde sildiği sayıların ya tabanında ya da kuvvetinin beş olduğunu hatırlıyor.","Tahtada kalan silinmeyen sayı bulunmak isteniyor.","Otuziki (iki üssü beş) ve yüz (on kare) sayıları inceleniyor, ancak her iki sayıda da beş bulunmuyor."]},"beginTime":1514,"endTime":1564,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=1514&ask_summarization=1"},{"index":14,"title":"Üslü Sayılar ve Temel Kavramlar","list":{"type":"unordered","items":["Üslü sayıların tabanları ve kuvvetleri ezbere bilmek önemlidir, örneğin 125 = 5³ ve 243 = 3³.","Üstün üstü çarpılır, örneğin (5³)⁻⁴ = 5⁻¹².","Negatif üslü ifadelerde, üst tek sayı ise eksi işareti kalır, çift sayı ise eksi işareti kalkar."]},"beginTime":1567,"endTime":1766,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=1567&ask_summarization=1"},{"index":15,"title":"Üslü Sayılarla İşlemler","list":{"type":"unordered","items":["Üslü ifadelerde toplama ve çıkarma yapabilmek için tabanlar ve üstler aynı olmalıdır.","Üslü ifadelerde parantez alma işlemi, katsayıları üslü ifadenin önüne alarak yapılır.","Üslü ifadelerde tersten işlem yaparken, bir sayının tersi alınırken üstü işaret değiştirir."]},"beginTime":1766,"endTime":1922,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=1766&ask_summarization=1"},{"index":16,"title":"Üslü Sayılarla Denklemler","list":{"type":"unordered","items":["Üslü ifadelerde denklemler çözerken, verilen ifadeyi a cinsinden yazmak istenebilir.","Üslü ifadelerde parantez alma işlemi, katsayıları üslü ifadenin önüne alarak yapılır.","Üslü ifadelerde a cinsinden cevap bulmak için, verilen ifadeyi a cinsinden yazmak gerekir."]},"beginTime":1922,"endTime":2074,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=1922&ask_summarization=1"},{"index":17,"title":"Üslü Sayılar İşlemi","list":{"type":"unordered","items":["Üslü sayılarla ilgili bir işlem çözülüyor: 7 üzeri 3 eksi 1 bölü 7 üzeri eksi 3 ifadesi inceleniyor.","Eksi işaretinin üslü ifadeye etkisi açıklanıyor: eksi işaretinin üslü ifadeye takla attırması ve üslü ifadenin işaretinin değişmesi.","İşlem sonucunda 1 bulunuyor."]},"beginTime":2076,"endTime":2173,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=2076&ask_summarization=1"},{"index":18,"title":"Geziler Hakkında Bilgi","list":{"type":"unordered","items":["Mehmet Hoca'nın gezginleri olarak adlandırılan RM tayfa, Urla'ya bir gezi yapıyor.","Gezide Urla'nın sanat sokağı, sahilindeki Karantina Adası ve at çiftliği ziyaret edilecek.","Geziden sonra kitabın son hazırlıkları yapılacak ve baskıya gönderilecek."]},"beginTime":2173,"endTime":2328,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=2173&ask_summarization=1"},{"index":19,"title":"Üslü Sayılarda Çarpma ve Bölme","list":{"type":"unordered","items":["Üslü sayılarda çarpma işlemi yaparken tabanlar aynıysa üstler toplanır.","Üslü sayılarda bölme işlemi yaparken tabanlar aynıysa üstler birbirinden çıkarılır.","Bir sonraki derste sadece sınav odaklı sorular çözülecek."]},"beginTime":2328,"endTime":2369,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=2328&ask_summarization=1"},{"index":20,"title":"Üslü Sayılar Örnekleri","list":{"type":"unordered","items":["350 eksi 9000 üzeri 3 ifadesi çözülüyor ve sonucu 9 bulunuyor.","x kare eksi x üzeri 3 eksi 1 bölü 2 üzeri 4 ifadesi çözülüyor ve sonucu -1 olarak bulunuyor.","3 üzeri 4 çarpı 4 üzeri a çarpı 2 üzeri -4 ifadesi çözülüyor ve sonucu 12 üzeri a olarak 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çarpım durumunda tabanlar çarpılır, bölüm durumunda tabanlar bölünür."]},"beginTime":2628,"endTime":2750,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=2628&ask_summarization=1"},{"index":23,"title":"Üslü Sayılar Kuralları","list":{"type":"unordered","items":["a çarpı b üzeri x ifadesi, a üzeri x çarpı b üzeri x şeklinde yazılabilir.","Üstleri birbirinin aynısı olduğunda, tabanlar çarpılır.","Üstler aynı, tabanlar farklıysa, ifadeler birleştirilebilir."]},"beginTime":2750,"endTime":2844,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=2750&ask_summarization=1"},{"index":24,"title":"Üslü Sayılar Soruları","list":{"type":"unordered","items":["Üslü ifadelerde toplama işlemi çarpma işlemine dönüşür.","Üslü ifadelerde bölme işlemi yapılırken üstler birbirinden çıkarılır.","Üslü ifadelerde çarpım durumunda tabanlar çarpılır, bölüm durumunda tabanlar bölünür."]},"beginTime":2844,"endTime":3122,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=2844&ask_summarization=1"},{"index":25,"title":"Üslü Sayılar Uygulamaları","list":{"type":"unordered","items":["Birbiri cinsinden yazma sorularında, sayılar çarpanlarına ayrılır.","Üstün üssü çarpılır, örneğin (2²)³ = 2⁶ şeklinde yazılır.","Üslü sayılara giriş konusu devam ediyor."]},"beginTime":3122,"endTime":3218,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=3122&ask_summarization=1"},{"index":26,"title":"Üslü Sayılar Problemleri","list":{"type":"unordered","items":["Öğretmen, üslü sayılar konusunda bir problem çözüyor: 950x-1 = 250x+1 ve 36 üzeri x+1 ifadesinin değerini bulma.","Problemin çözümünde üslü sayıların özellikleri kullanılarak 950x = 9 ve 250x = 2 bulunuyor.","36 üzeri x+1 ifadesi 2 üzeri 2x çarpı 9 üzeri x+1 şeklinde yazılabilir ve sonuç 81×a×b² olarak bulunuyor."]},"beginTime":3222,"endTime":3373,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=3222&ask_summarization=1"},{"index":27,"title":"Üslü Denklemler","list":{"type":"unordered","items":["Üslü denklemlerde a≠1 ve a≠0 koşulları altında a^x = a^y ise x = y olduğu belirtiliyor.","Bir örnek problemde 250x×2502×2504 = 2506×2503 denklemi çözülüyor ve x = 2 olarak bulunuyor.","Diğer bir problemde 354×354×354×354 = 3564×354×354×354 denklemi çözülüyor ve a = 1 olarak bulunuyor."]},"beginTime":3373,"endTime":3559,"href":"/video/preview/3301178098145962831?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=3373&ask_summarization=1"},{"index":28,"title":"Uygulama Problemi","list":{"type":"unordered","items":["Kadriye'nin 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ikizkenar üçgen oluşturulur ve x açısının değeri 120 derece olarak bulunur.","Sorunun cevabı E seçeneğinde yer almaktadır."]},"beginTime":69,"endTime":164,"href":"/video/preview/9233347510230832338?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=69&ask_summarization=1"},{"index":2,"title":"Kalem ve Masa Problemi","list":{"type":"unordered","items":["Birinci şekilden ikinci şekle geçişte C noktası kalemin orta noktası haline gelmektedir.","Dikdörtgende karşılıklı kenarlar birbirine eşit olduğundan, kalemin uzunluğu 26-a olarak hesaplanır.","Dik üçgen analizi sonucunda a=6 bulunur ve kalemin ucunun EA'ya uzaklığı 14 olarak hesaplanır, cevap A seçeneğidir."]},"beginTime":164,"endTime":334,"href":"/video/preview/9233347510230832338?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=164&ask_summarization=1"},{"index":3,"title":"Çember 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yapılıyor."]},"beginTime":440,"endTime":540,"href":"/video/preview/9233347510230832338?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=440&ask_summarization=1"},{"index":5,"title":"Dörtgen Açı Problemi","list":{"type":"unordered","items":["Bir dörtgende iç açılar toplamı 360 derece olduğundan, verilen açılarla (108°, 150°, 18°) x ve y açıları hesaplanıyor.","x=96° ve y=84° olarak bulunuyor.","Bu soru çokgenler, dörtgenler ve düzgün çokgenlerdeki kenar ve açı ölçülerini bulmayı öğretiyor."]},"beginTime":545,"endTime":630,"href":"/video/preview/9233347510230832338?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=545&ask_summarization=1"},{"index":6,"title":"Üçgen Problemi","list":{"type":"unordered","items":["ABC ve CBD üçgenleri çiziliyor, CDB üçgeninde DCB=60° ve ACD=40° olarak veriliyor.","C noktasından pergeli ADB'den geçecek şekilde bir çember çizerken, CD=CE=CB oluyor ve bu ikizkenar üçgen eşkenar üçgen oluyor.","Verilen öncüllerden 1. ve 2. öncül doğrudur, 3. öncül yanlıştır."]},"beginTime":630,"endTime":771,"href":"/video/preview/9233347510230832338?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=630&ask_summarization=1"},{"index":7,"title":"Grafiker ve Yamuk Problemi","list":{"type":"unordered","items":["Grafiker dikdörtgen biçimindeki çalışma sayfasına iki eş kare çizecek, uzun kenarı 20 birim, kısa kenarı 10 birim olan bir dikdörtgen var.","Yazıcı boyu 20 santim olan kağıda yazarken, alttan 8 santimlik kısmına gelince mürekkep bitiyor.","Yamuğun alanı 21 birim kare, mavi ile çizilen bölgenin alanı 25 birim kare olduğu için siyah ve mavi boyalı bölgenin alanı toplam 46 birim kare."]},"beginTime":771,"endTime":991,"href":"/video/preview/9233347510230832338?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=771&ask_summarization=1"},{"index":8,"title":"Evrak Çantası Problemi","list":{"type":"unordered","items":["ABC noktalarına monte edilmiş hareketli mekanizma yardımıyla O noktası etrafında dönerek açılıp kapanabilen evrak çantası 90 derece açıldığında OABC noktaları dikdörtgen oluşturuyor.","Dikdörtgenin alanı 6×5=30 birim kare, paralelkenar halindeki alan 6×4=24 birim kare.","Alan 6 birim kare azaldığı için cevap C seçeneğidir."]},"beginTime":991,"endTime":1102,"href":"/video/preview/9233347510230832338?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=991&ask_summarization=1"},{"index":9,"title":"38. 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Soru Çözümü","list":{"type":"unordered","items":["80 santim eni ve 320 santim boyu olan dikdörtgen biçimindeki iki bölümlü cam kapının her iki camdaki üçgenlerin ortak köşesi yerden 160 santim yüksekliktedir.","Benzerlik oranları kullanılarak üçgen alanları hesaplanıyor ve tüm alanın yarısı 320×80÷2 formülüyle bulunuyor.","İkinci şekildeki görünen üçgen desenlerinin toplam alanı 1.44 metrekare olarak hesaplanıyor ve cevap C seçeneği."]},"beginTime":1200,"endTime":1444,"href":"/video/preview/9233347510230832338?parent-reqid=1770026441498950-5589060377108136401-balancer-l7leveler-kubr-yp-klg-79-BAL&text=Matu4as&t=1200&ask_summarization=1"},{"index":11,"title":"40. 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