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#math #matholympiad #linearalgebra #algebratips Welcome to my math channel! In this video, I take on a challenging Nice Math Olympiad Algebra problem and solve it step by step. If you...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1588339/df9d29128d8c0f8afc2ff22317710d29/564x318_1"},"target":"_self","position":"9","reqid":"1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DytlD0t4T_y8","linkTemplate":"/video/preview/14808024023090622087?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Nice mental Math Olympiad Question, No Calculator | Algebra | Mathematics | Math | math videos","related_orig_text":"Math Minelap","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Minelap\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ytlD0t4T_y8\",\"src\":\"serp\",\"rvb\":\"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_E-QDggQkAYAEKyqLARABGniB9vv7-_sFAPUBAwUHBP0BAPz2_fj-_QD___T7_QT-AP38_f0HAAAADQj0_v0AAAD2B_gQ_v8AAAP7_QIDAAAAEwsAAf4AAAANC_wD_gEAAPz4Av8C_wAAC_8M8_8AAAAH_QH8-f4AAQ8NCQIBAAAABwoC_QAAAAAgAC1ZkeI7OBNACUhOUAIqcxAAGmDVCgAlMx8CxxgN59n88f3WAyPBFPTwAN_5AAn9F9EJ_87YEBf_Dc4Q57wAAAAh_fb4MgDKV-TpwyYh4gvR6gkbAX_lHugGJ_nm0TYI4fn6JOHG_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-EEAAIhBAABQwgAAEEIAABxCAADQQQAAUEEAAAAAAADgwAAAUMEAAExCAADIwQAALMIAAEjCAABAwQAABMIAAAjCAABgQQAAqMEAAEzCAAAEwgAA-EEAAK7CAAAIQgAAmEEAAFDBAABYwgAAyEEAAABCAAAAAAAAKMIAAEBAAAAIQgAAbMIAAHxCAABAwAAAksIAAOBAAAAAQQAAiMEAAJJCAAA0wgAAZMIAAGDCAABQQQAAeEIAAIA_AADgQAAAdEIAALjBAAAQQgAAKEIAADDCAACgQQAAgL8AAIDBIAA4E0AJSHVQASqPAhAAGoACAAA0vgAALL4AAAQ-AAAwvQAAQLwAACU_AAA0vgAASb8AAKa-AAA8vgAAgLsAACG_AABwPQAAqj4AAKi9AACCvgAA8j4AAFC9AAB8PgAAAz8AAEs_AACIvQAApj4AADw-AAAkvgAArr4AAEw-AAAwvQAA6D0AANg9AAC2PgAAoLwAAKA8AABQPQAAEL0AABy-AADIvQAA2L0AAP6-AAD4vQAAxr4AAEw-AAA8PgAAqL0AAMq-AAD4vQAAdD4AAPa-AACSvgAARL4AAFS-AACqvgAAtj4AAHQ-AAC4vQAAEL0AAH8_AADqPgAAEL0AAIC7AABsvgAA2j4AAKA8AABwvSAAOBNACUh8UAEqjwIQARqAAgAAZL4AAGQ-AADgvAAAEb8AAFS-AABwPQAA6j4AABw-AAB0PgAA6L0AAPi9AADovQAAZL4AABS-AACIvQAAqD0AAIC7AAAFPwAAfL4AAN4-AAA0PgAAJL4AAI6-AADovQAAqL0AAMi9AABMvgAAFD4AALi9AACgvAAAQDwAABw-AAAQvQAA6L0AADQ-AAAQvQAApj4AAPg9AABcvgAAHD4AALo-AACevgAA2D0AAIi9AAAwPQAA6D0AAH-_AAAQPQAABL4AABC9AABEPgAAfD4AAHC9AACAOwAAij4AADw-AAAEvgAA-L0AAFQ-AABsPgAAgDsAAGS-AAC4vQAAoj4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ytlD0t4T_y8","parent-reqid":"1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14808024023090622087"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"11423539550632452053":{"videoId":"11423539550632452053","docid":"34-8-5-ZA4E45A3B06E81B46","description":"Minelab Manticore dedektörü incele: https://dedektor.store Manticore Dedektör, Minelab’ın en yeni Eşzamanlı Çoklu Frekans metal dedektörüdür. Devrim niteliğinde, yeni iki boyutlu kimlik harita...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/372753/c87e148a55a771b15627c5cb532d8506/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ivtgSAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DKT28kKkt2G4","linkTemplate":"/video/preview/11423539550632452053?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Minelab Manticore Dedektör İlk Burada! 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Öğretmen, üslü ifadelerin değerlerini hesaplama, çarpanlarına ayırılması, çarpımı ve bölünmesi, ortak parantez alma, üslerin toplanması ve sadeleştirilmesi gibi konuları adım adım açıklamaktadır. Ayrıca üslü denklemlerin çözümü ve x'in alabileceği değerler toplamı bulma gibi problemler de çözülmektedir.","Video boyunca 6'dan 15'e kadar olan sorular çözülmekte ve her sorunun cevabı \"Adana\", \"Edirne\", \"Ceyhan\" veya \"Bursa\" gibi şehir isimleriyle belirtilmektedir. Video, sayıların ilk iki testinin tamamlanmasıyla sona erer ve üçüncü testte denklemli eşitsizlik sorularının olacağı belirtilir."]},"endTime":1145,"title":"Matematik Dersi: Üslü Sayılar ve Denklemler","beginTime":0}],"fullResult":[{"index":0,"title":"Üslü Sayılar Problemleri","list":{"type":"unordered","items":["İlk soruda 2 üzeri a ve 2 üzeri b değerleri verilmiş, 2 üzeri 2a çarpı 2 üzeri b çarpı 2 üzeri eksi bir ifadesinin değeri 3 olarak bulunmuştur.","İkinci soruda 135 üzeri x ifadesinin a ve b türünden değeri 3 üzeri 3x çarpı 5 üzeri x olarak hesaplanmıştır.","Üçüncü soruda 5 üzeri x olduğuna göre 125 üzeri x artı bir bölü 25 üzeri x artı iki ifadesinin a türünden değeri 1/5 olarak bulunmuştur."]},"beginTime":21,"endTime":181,"href":"/video/preview/1658042871245927013?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=21&ask_summarization=1"},{"index":1,"title":"Üslü Sayılar Problemleri","list":{"type":"unordered","items":["Dördüncü soruda 27 üzeri x altmışdört olduğuna göre 3 üzeri x'in karesi eksi 3 üzeri x çarpı 3 üzeri eksi bir ifadesinin sonucu 44/3 olarak hesaplanmıştır.","Beşinci soruda 650 üzeri x eksi bir'in değeri verilmiş, işlemin sonucu 1 olarak bulunmuştur."]},"beginTime":181,"endTime":339,"href":"/video/preview/1658042871245927013?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=181&ask_summarization=1"},{"index":2,"title":"Üslü İfadelerde Ortak Parantez Alma","list":{"type":"unordered","items":["Üslü ifadelerde ortak parantez alma yöntemi kullanılarak 4 üzeri 5 ortak parantezine alınarak 12, -7 ve 3 ifadeleri parantez dışına çıkarılır.","12'nin 7'si çıkarılıp 5 ile 3 toplanır, sonuç 8 olur ve 8 çarpı 4 üzeri 5 şeklinde yazılır.","8 yerine 2 üzeri 3, 4 yerine 2'nin karesi yazılır ve üsler toplanarak 2 üzeri 13 cevabı bulunur."]},"beginTime":344,"endTime":385,"href":"/video/preview/1658042871245927013?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=344&ask_summarization=1"},{"index":3,"title":"En Küçük Üs Parantezine Alma","list":{"type":"unordered","items":["Üslü ifadelerde en küçük üst parantezine alınarak işlem yapılır.","3 üzeri 7 en küçük üst olduğu için parantezine alınır ve 15, 3 ve 2 çarpımı -6 olarak bulunur.","Üsler toplanarak 3 üzeri 19 cevabı elde edilir."]},"beginTime":385,"endTime":468,"href":"/video/preview/1658042871245927013?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=385&ask_summarization=1"},{"index":4,"title":"Üslü İfadelerde Bölme İşlemi","list":{"type":"unordered","items":["Üslü ifadelerde bölme işlemi yapılırken, üstler çıkarılır.","9 tane 3 üzeri 4 toplamı 9 çarpı 3 üzeri 4'e eşittir.","7 tane 3 üzeri -1 çarpımı 3 üzeri -7'dir ve bölme işlemi yapıldığında 3 üzeri 13 cevabı bulunur."]},"beginTime":468,"endTime":507,"href":"/video/preview/1658042871245927013?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=468&ask_summarization=1"},{"index":5,"title":"Üslü İfadelerde Sadeleştirme","list":{"type":"unordered","items":["Üslü ifadelerde sadeleştirme yaparken, tabanlar eşit olduğunda üsler toplanır.","14 üzeri 3 ifadesi 2 üzeri 3 çarpı 7 üzeri 3 olarak yazılır.","Üsler toplanarak 10 cevabı bulunur."]},"beginTime":507,"endTime":634,"href":"/video/preview/1658042871245927013?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=507&ask_summarization=1"},{"index":6,"title":"Üslü Denklemler","list":{"type":"unordered","items":["Üslü denklemlerde tabanlar eşit olduğunda üsler birbirine eşittir.","2 üzeri 4 kuvvetinin 2x-3 kuvveti ile 2 üzeri 5 kuvvetinin x+6 kuvveti eşit olduğunda x=14 bulunur.","Üslü denklemlerde tabanlar eşit olduğunda üsler birbirine eşittir ve x=4 olarak bulunur."]},"beginTime":634,"endTime":745,"href":"/video/preview/1658042871245927013?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=634&ask_summarization=1"},{"index":7,"title":"Üslü Denklemlerde Mutlak Değer","list":{"type":"unordered","items":["Üslü denklemlerde üstü tek olan ifadelerde tabanlar birebir eşit olmak zorundadır.","Üslü denklemlerde üstü çift olan ifadelerde mutlak değer sorusu oluşur.","x+y tam sayılarının toplamı -5 olarak bulunur."]},"beginTime":745,"endTime":835,"href":"/video/preview/1658042871245927013?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=745&ask_summarization=1"},{"index":8,"title":"Üslü Denklemlerde Ortak Parantez Alma","list":{"type":"unordered","items":["Üslü denklemlerde ortak parantez alma yöntemi kullanılarak 3 üzeri x parantezine alınır.","Üslü denklemlerde eksi kuvvetler takla attırır.","x=-2 olarak bulunur."]},"beginTime":835,"endTime":953,"href":"/video/preview/1658042871245927013?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=835&ask_summarization=1"},{"index":9,"title":"Matematik Probleminin Çözümü","list":{"type":"unordered","items":["Denklemde 9 üzeri eksi x ifadesi sadeleştirilerek sadece 9 kalır.","2 üzeri eksi x ifadesi parantezine alınarak denklem düzenlenir.","Denklemin sıfır olabilmesi için 27 çarpı 9 üzeri eksi x eşittir 1 olmalıdır."]},"beginTime":955,"endTime":1023,"href":"/video/preview/1658042871245927013?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=955&ask_summarization=1"},{"index":10,"title":"Denklemin Çözümü ve Sonuç","list":{"type":"unordered","items":["Her iki taraf 27'ye bölünerek 3 üzeri eksi 2x eşittir 1 denklemi elde edilir.","Üstler eşitlenerek eksi 2x eşittir eksi 3 bulunur ve x'in 3/2 olduğu hesaplanır.","Sorunun cevabı Bursa olarak belirlenir."]},"beginTime":1023,"endTime":1044,"href":"/video/preview/1658042871245927013?parent-reqid=1769293970570250-1730670552311449035-balancer-l7leveler-kubr-yp-klg-102-BAL&text=Math+Minelap&t=1023&ask_summarization=1"},{"index":11,"title":"İkinci Sorunun Çözümü","list":{"type":"unordered","items":["Sonuç 1 olduğunda üç durum vardır: tabanın 1 olduğu durum, tabanın eksi 1 olduğu durum ve üssün 0 şeklinde olduğu durum.","Tabanın 1 olduğu durumda x-2=1 denklemi çözülür ve x=3 bulunur.","Tabanın eksi 1 olduğu durumda x=1 bulunur ancak üstü tek sayı olduğu için çözüm geçersizdir.","Üssün 0 şeklinde olduğu durumda x²-4=0 denklemi çözülür ve x=2 veya x=-2 bulunur, ancak x=2 paydayı sıfır yaptığı için geçersizdir.","x'in alabileceği değerler toplamı 3+1=4 olarak hesaplanır ve sorunun cevabı Adana olarak 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