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Özellikle yaş problemlerinde iki basamaklı sayılar, ortalama hesaplamaları ve hız-hareket problemlerinde hız-zaman-yol ilişkileri üzerinde durulmaktadır."]},"endTime":1735,"title":"Matematik Problemleri Çözüm Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Giriş ve İlk Soru","list":{"type":"unordered","items":["Videoda 15 farklı problem sorusu çözülecek ve yorumlanacak.","Tüm soruların PDF'leri Telegram kanalında mevcut.","İlk soruda taşımacılık yapan bir firma 300 bin TL ödeyerek 15 bin, 25 bin ve 30 bin TL olan araçlardan 12 adet satın alıyor."]},"beginTime":0,"endTime":51,"href":"/video/preview/16298207564135159968?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=0&ask_summarization=1"},{"index":1,"title":"İlk Sorunun Çözümü","list":{"type":"unordered","items":["Fiyatı 15 bin ve 25 bin TL olan araçlardan eşit sayıda (x) alınmış, toplam 2x araç.","Toplam 12 araç olduğu için 30-2x=6 adet 30 bin TL 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İçerik, çarpmanın hızlı toplama olduğunu vurgulayarak başlayıp, çarpım tablosunun önemi, çarpma işleminin özellikleri (değişme özelliği, etkisiz eleman, yutan eleman), iki ve üç basamaklı sayıların çarpımı, rasyonel sayılar, işaretli sayıların çarpma ve bölme işlemleri, sadeleştirme işlemleri ve terim mantığı konularını kapsamaktadır.","Öğretmen, her konuyu günlük hayattan örneklerle ve pratik yöntemlerle açıklamakta, özellikle çarpma ve bölme işlemlerinin sadeleştirilmesi gerektiğini vurgulamaktadır. Video boyunca çeşitli örnekler üzerinden konular pekiştirilmekte ve öğrencilerin dersi sadece izlemekle kalmayıp yazıp çizerek ve soru çözerek öğrenmeleri önemle vurgulanmaktadır."]},"endTime":2636,"title":"Alıştırmalarla Matematik Kampı: Çarpma ve Bölme İşlemleri","beginTime":0}],"fullResult":[{"index":0,"title":"Matematik Kampı ve Çarpma Kavramı","list":{"type":"unordered","items":["Alıştırmalarla matematik kampının ikinci dersinde çarpma ve bölme konuları ele alınacak.","Gerçek öğrenme uygulama üstünden olur, kitabı bitirdikçe ve soruları çözdükçe çok şey öğrenilecek.","Çarpma, hızlı bir şekilde toplama yapmaktır ve çarpım tablosunu iyi bilmek şarttır."]},"beginTime":7,"endTime":70,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=7&ask_summarization=1"},{"index":1,"title":"Çarpma İşlemleri ve Pratik Yöntemler","list":{"type":"unordered","items":["Çarpma işlemi, bir sayıyı belirli bir sayıda toplamak anlamına gelir (örneğin 3×8=24).","Pratik yöntemler kullanılarak çarpma işlemleri yapılabilir, örneğin 4×9=36 için önce 2×9=18, sonra 18×2=36 olarak hesaplanabilir.","Tersten sorularda (a×8=72 gibi) keşfetme yöntemiyle çözüm bulunabilir."]},"beginTime":70,"endTime":198,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=70&ask_summarization=1"},{"index":2,"title":"Çarpma Özellikleri","list":{"type":"unordered","items":["Çarpmada değişme özelliği vardır: sayılar yer değiştirirse sonuç değişmez (6×8=8×6=48).","Çarpmada etkisiz eleman 1'dir, bir sayıyı 1 ile çarptığımızda sonucu etkilemez (1×7=7, 10×10=10).","Çarpmada yutan eleman 0'dır, bir sayıyı 0 ile çarptığımızda sonucu 0'a eşitler (8×0=0, 5×0=0, 6×0=0)."]},"beginTime":198,"endTime":362,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=198&ask_summarization=1"},{"index":3,"title":"Çarpma İşlemi","list":{"type":"unordered","items":["Çarpma işlemi yaparken, en sağdan başlayıp her basamakta çarpma yapılır ve elde edilen sonuçlar toplanır.","Zihinsel çarpma yaparken, sayıyı parçalara ayırıp önce bir kısmı çarpıp sonra diğer kısmı çarpıp toplamak daha kolaydır.","Onlar basamağına geçildiğinde, çarpma sonucu bir basamak sola kaydırılır."]},"beginTime":367,"endTime":518,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=367&ask_summarization=1"},{"index":4,"title":"Zıt İşaretli Sayıların Farkı","list":{"type":"unordered","items":["Zıt işaretli iki sayının farkı, büyük sayıdan küçük sayı çıkarılarak bulunur.","Farkın işareti, daha fazla olan sayının işaretine sahiptir.","Çarpma işlemi yaparken, aynı işaretli sayıların çarpımı pozitiftir."]},"beginTime":518,"endTime":674,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=518&ask_summarization=1"},{"index":5,"title":"Kolay Çarpma Yöntemleri","list":{"type":"unordered","items":["Bir sayıyı 10 ile çarpmak, sayının arkasına 0 ile bir eklemektir.","Bir sayıyı 100 ile çarpmak, sayının arkasına 0 ile iki eklemektir.","Bir sayıyı 200 ile çarpmak için, sayıyı önce 2 ile çarpıp sonra 0 ile iki eklemek daha kolaydır."]},"beginTime":674,"endTime":762,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=674&ask_summarization=1"},{"index":6,"title":"Bölme İşlemi","list":{"type":"unordered","items":["Bölme işlemi, çarpmanın tersidir ve bir sayının içinde kaç tane diğer sayı olduğunu bulmayı içerir.","Bölme işleminde, bölünen sayıyı bölen sayı ile çarparak eşitliğin sağlanması gerekir.","Her sayının kendine bölümü 1'dir ve 0'ı bir sayıya böldüğümüzde sonuç 0'dır.","Bir sayıyı sıfıra bölemezsiniz."]},"beginTime":762,"endTime":1009,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=762&ask_summarization=1"},{"index":7,"title":"Matematiksel Tanımsızlık Kavramı","list":{"type":"unordered","items":["Matematikte paydayı sıfır yapan değerler tanımsızdır, sıfıra sıfıra bölme işlemi tanımsızdır.","Belirsizlik kavramı limit ve süreklilikte kullanılır, sıfıra bölme işlemi tanımsızdır.","Bir rasyonel sayı tanımlıysa, paydayı sıfır yapan değer o sayı olamaz."]},"beginTime":1015,"endTime":1101,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1015&ask_summarization=1"},{"index":8,"title":"Sayıların Gizli Özellikleri","list":{"type":"unordered","items":["Her sayının paydasına gizli bir \"1\" vardır, örneğin 4 aslında 4/1'dir.","Her tam sayı pay bölü payda şeklinde yazılabilir ve altında gizli bir \"1\" vardır.","Bir sayının üstünde de gizli bir \"1\" vardır, örneğin 5 aslında 5/1'dir."]},"beginTime":1101,"endTime":1218,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1101&ask_summarization=1"},{"index":9,"title":"Bölme İşlemleri","list":{"type":"unordered","items":["Bölme işlemi yaparken, bölüneni bölenle çarparak sonucu bulabiliriz.","Çıkarma işlemi yaparken, eksi işaretinin etkisi ve sayıların büyüklüğü dikkate alınmalıdır.","Bölme işlemi sonucunda elde edilen sonuç, eksi işaretinin etkisiyle pozitif veya negatif olabilir."]},"beginTime":1218,"endTime":1333,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1218&ask_summarization=1"},{"index":10,"title":"Pratik İşlem Yöntemi","list":{"type":"unordered","items":["Çarpma ve bölme işlemi varsa, önce sadeleştirme yapmak daha pratiktir.","Sadeleştirme yaparak işlem kalabalığından kurtulabiliriz.","Sadeleştirme yaparken, yukarıda ve aşağıda aynı sayıya bölünen ifadeleri aynı sayıya bölmek gerekir."]},"beginTime":1333,"endTime":1414,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1333&ask_summarization=1"},{"index":11,"title":"Aynı İşaretli Sayıların Çarpma ve Bölme Kuralları","list":{"type":"unordered","items":["Aynı işaretli sayıların çarpımı ve bölmesi sonucunda artı işaretli bir sayı elde edilir.","Örneğin, eksi ile eksi çarpıldığında artı, artı ile artı çarpıldığında artı sonuç verir.","Çarpma ve bölme işlemlerinde işaretlerin aynı olması sonucu artı yapar."]},"beginTime":1419,"endTime":1535,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1419&ask_summarization=1"},{"index":12,"title":"Zıt İşaretli Sayıların Çarpma ve Bölme Kuralları","list":{"type":"unordered","items":["Zıt işaretli sayıların çarpımı ve bölmesi sonucunda eksi işaretli bir sayı elde edilir.","Örneğin, eksi ile artı çarpıldığında eksi, artı ile eksi çarpıldığında eksi sonuç verir.","Zıt işaretli sayıların çarpımı ve bölmesi sonucunda her zaman eksi işaretli bir sayı elde edilir."]},"beginTime":1535,"endTime":1493,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1535&ask_summarization=1"},{"index":13,"title":"Öğrenme Yöntemi ve Sadeleştirme","list":{"type":"unordered","items":["Öğrenme sürecini kalıcı hale getirmek için soruları yazıp çizmek önemlidir.","Video ders sadece öğrenme sürecini başlatır, kalıcı öğrenme için yazıp çizerek ve soru çözerek devam etmek gerekir.","Sadeleştirme yaparken hem yukarıda hem aşağıda aynı sayı varsa onları yok etmek gerekir."]},"beginTime":1493,"endTime":1721,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1493&ask_summarization=1"},{"index":14,"title":"Kesirlerde Sadeleştirme Örneği","list":{"type":"unordered","items":["Kesirlerde sadeleştirme yaparken kesrin içinde toplama olmayacak, sadece çarpma ve bölme işlemleri olmalıdır.","Birin çarpmada ve bölmede etkisi olmadığı için sadeleştirme yapılırken göz ardı edilebilir.","Sadeleştirme işlemi adım adım yapılabilir veya doğrudan en büyük ortak bölenle sadeleştirilebilir."]},"beginTime":1721,"endTime":1799,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1721&ask_summarization=1"},{"index":15,"title":"Terim Mantığı ve Sadeleştirme","list":{"type":"unordered","items":["Toplama ve çıkarma işlemlerinde terimler birbirinden ayrılır, bağımsızlaştırılır ve sadeleştirilemez.","Çarpma ve bölme işlemlerinde terimler birleştirilir, tek terim yapar ve sadeleştirilebilir.","İki artı yedi ifadesinde iki farklı terim vardır, iki çarpı yedi ifadesinde ise bir terim vardır."]},"beginTime":1802,"endTime":1924,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1802&ask_summarization=1"},{"index":16,"title":"Sadeleştirme Örnekleri","list":{"type":"unordered","items":["Üç eksi yirmiyedi eksi yirmidört artı sekiz işleminde önce toplama çıkarma yapılır, sonra bölme yapılır ve sonuç eksi iki olur.","Altı artı dört işleminde altılar sadeleşmez çünkü arada toplama var, çarpma olsaydı sadeleşirdi.","Eksi eksi işaretleri artıya dönüşür ve toplama çıkarma işlemleri yapılır."]},"beginTime":1924,"endTime":1988,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1924&ask_summarization=1"},{"index":17,"title":"Karmaşık İşlem Örneği","list":{"type":"unordered","items":["Yüz bölü dört kere beş işleminde önce çarpma yapılır, sonra bölme yapılır ve sonuç iki olur.","Yedi çarpı iki ondört yapar, ondört bölü beş eksi ondört'ten cevap eksi dokuz olur.","Eksili ve artılı sayılar pullar gibi düşünülebilir, artılı olan biterken eksi olan kalmaya devam eder."]},"beginTime":1988,"endTime":2085,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1988&ask_summarization=1"},{"index":18,"title":"Son Örnek ve Öneriler","list":{"type":"unordered","items":["Üç'e bölünebilen sayılar sadeleştirilir, altı çarpı yedi çarpı beş artı onsekiz çarpı altı çarpı iki şeklinde işlem yapılır.","Önce çarpma işlemleri yapılır, sonra toplama çıkarma işlemleri yapılır ve sonuç dörtyüzyirmialtı olur.","Matematikte kaleme ve işleme güvenmek önemlidir, kafadan işlem yaparken dikkatli olmak gerekir."]},"beginTime":2085,"endTime":2175,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=2085&ask_summarization=1"},{"index":19,"title":"Bölme İşlemi","list":{"type":"unordered","items":["Bölme işleminde, bölünenin içinde bölenin kaç kez yer aldığını bulmak gerekir.","Bölme işlemi, bölünenin içinde bölenin kaç kez yer aldığını bulup, kalanı aşağı indirerek devam eder.","Bölme işlemi, bölünenin içinde bölenin ya olduğunda ya da yedi'den küçük bir şey kaldığında biter."]},"beginTime":2181,"endTime":2253,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=2181&ask_summarization=1"},{"index":20,"title":"Ondalıklı Sayılara Çevirme","list":{"type":"unordered","items":["Bölme işlemi bittiğinde, ondalıklı sayıya çevirmek için bölünenin sonuna sıfır eklenir.","Sıfır eklenmesinin karşılığı, bölme işleminde virgül atmaktır.","Ondalıklı sayıya çevirme yöntemi, bölme işleminin sonucunu virgülle ayırarak devam ettirmektir."]},"beginTime":2253,"endTime":2292,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=2253&ask_summarization=1"},{"index":21,"title":"Sadeleştirme ve İşaret İşlemleri","list":{"type":"unordered","items":["Bölme işleminde, her iki sayının da aynı sayıya bölünmesi sadeleştirme sağlar.","Eksi ile eksi çarpıldığında artı, artı ile eksi çarpıldığında eksi sonuç verir.","İşaret işlemleri, bölme işleminin sonucunu belirlerken önemlidir."]},"beginTime":2292,"endTime":2566,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=2292&ask_summarization=1"},{"index":22,"title":"Matematik Öğrenme Süreci","list":{"type":"unordered","items":["Matematik dersinde toplama, çıkarma, çarpma ve bölme konuları temel olarak öğrenilir.","Matematik öğrenme süreci, keşfetme süreci olarak görülür ve bağlantıları keşfetmek önemlidir.","En iyi öğretmen çözemediğin sorudur, çözemediğin sorulardan öğrenmek gerekir."]},"beginTime":2566,"endTime":2626,"href":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=2566&ask_summarization=1"}],"linkTemplate":"/video/preview/14641584052089316574?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"2) Sıfırdan Alıştırmalarla Matematik Kampı - 2.Gün - Çarpma - Bölme - Şenol Hoca - 2026","related_orig_text":"Görkem Hocayla 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Hocaları Sizin yanınızda … Kitap Satışımız İçin; https://www.benimhocam.com / benimhocamyayin / benimhocam / benimhocamyayin...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4321761/48d712868b85e8cc06ba2b7fa20c695b/564x318_1"},"target":"_self","position":"19","reqid":"1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=videoid:13264377894063234718","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin öğrencilere üslü sayılar konusunu anlattığı kapsamlı bir eğitim içeriğidir. Öğretmen, tahtada notlar alarak ve örnekler üzerinden konuyu açıklamaktadır.","Video, üslü sayıların temel kavramlarından başlayarak, negatif kuvvetler, sıfırıncı kuvvet, üslü ifadelerin çarpma, bölme, toplama ve çıkarma işlemleri gibi konuları detaylı şekilde ele almaktadır. Öğretmen, \"altlar eşitse üstleri topla, üstler eşitse altları çarp\" gibi temel kuralları örneklerle pekiştirmekte ve günlük hayattan örneklerle konuyu somutlaştırmaktadır.","Videoda ayrıca üslü denklemlerin çözümü, ortak parantez alma ve üslü sayıların çarpanlarına ayırılması gibi ileri seviye konular da işlenmektedir. Öğretmen, öğrencilere not alıp kağıt üzerinde yazmalarını tavsiye ederken, öğrenme sürecinde merakın önemini vurgulamaktadır. Video, öğrencilere ödev olarak alıştırmalar yapmaları tavsiyesiyle sonlanmaktadır."]},"endTime":4466,"title":"Üslü Sayılar Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Üslü Sayılar Nedir?","list":{"type":"unordered","items":["Üslü sayılar, tekrarlı çarpımların kısa gösterimidir.","Matematikçiler, aynı sayının tekrarlı çarpımını göstermek için taban ve üst kullanır.","Örneğin, 2×2×2×2×2 = 2⁵ şeklinde gösterilir ve bu 2'nin 5 defa yan yana çarpıldığını gösterir."]},"beginTime":18,"endTime":59,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=18&ask_summarization=1"},{"index":1,"title":"Üslü Sayıların Çarpımı","list":{"type":"unordered","items":["2⁵ = 2×2×2×2×2 = 32 olarak hesaplanır.","3⁴ = 3×3×3×3 = 81 olarak hesaplanır.","(4/5)³ = (4/5)×(4/5)×(4/5) = 125 olarak hesaplanır."]},"beginTime":59,"endTime":104,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=59&ask_summarization=1"},{"index":2,"title":"Negatif Sayıların Üsleri","list":{"type":"unordered","items":["Parantezin dışındaki üs, parantezin içindeki her şeyi etkiler.","(-2)³ = -8 olarak hesaplanır çünkü tek kuvvet eksiliği etkilemez.","(-2)⁴ = 16 olarak hesaplanır çünkü çift kuvvet eksiyi artıya çevirir."]},"beginTime":104,"endTime":160,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=104&ask_summarization=1"},{"index":3,"title":"Çift ve Tek Kuvvetlerin Özellikleri","list":{"type":"unordered","items":["Tek kuvvet, negatif sayının eksiliğini etkilemez; eksi ise eksi, artı ise artı devam eder.","Çift kuvvet, negatif sayının eksiliğini artıya çevirir.","Sayı zaten artıysa, üstünün çift ya da tek olduğunun önemi yoktur, o sayı hep artıdır."]},"beginTime":160,"endTime":320,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=160&ask_summarization=1"},{"index":4,"title":"Parantez Kullanımı","list":{"type":"unordered","items":["Parantez içindeki her şeyi etkileyen üs, parantezin dışındaki üs olarak gösterilir.","(-4)² = 16 olarak hesaplanır çünkü parantez içindeki her şey tekrarlanır.","-4² = -16 olarak hesaplanır çünkü parantez yoksa sadece 4'ün karesi alınır ve eksi işareti tekrarlanmaz."]},"beginTime":320,"endTime":465,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=320&ask_summarization=1"},{"index":5,"title":"Üslü Sayıların Çarpma ve Çıkarma İşlemleri","list":{"type":"unordered","items":["3² = 9 olarak hesaplanır çünkü 3×3 = 9'dur.","(-1)³ = -1 olarak hesaplanır çünkü tek kuvvet eksiliği etkilemez.","(-2)⁶ = 64 olarak hesaplanır çünkü çift kuvvet eksiyi artıya çevirir."]},"beginTime":465,"endTime":613,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=465&ask_summarization=1"},{"index":6,"title":"Üslü Sayıların Toplama ve Çıkarma İşlemleri","list":{"type":"unordered","items":["(-7)² = 49 olarak hesaplanır çünkü çift kuvvet eksiyi artıya çevirir.","(-5)³ = -125 olarak hesaplanır çünkü tek kuvvet eksiliği etkilemez.","64 - 49 + 125 = 140 olarak hesaplanır."]},"beginTime":613,"endTime":739,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=613&ask_summarization=1"},{"index":7,"title":"Sıfırıncı Kuvvet","list":{"type":"unordered","items":["Bir sayının sıfırıncı kuvveti her zaman bir'dir, örneğin 8'in sıfırıncı kuvveti 1'dir.","Sıfırın sıfırıncı kuvveti bir değildir.","Herhangi bir sayının sıfırıncı kuvveti her zaman bir'dir, örneğin 3/8'in sıfırıncı kuvveti 1'dir."]},"beginTime":746,"endTime":793,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=746&ask_summarization=1"},{"index":8,"title":"Negatif Üst (Taklacı Üst)","list":{"type":"unordered","items":["Negatif üst sadece takla attırmayı sağlar, başka bir görevi yoktur.","Negatif üst, sayının pay ve paydasının yerini değiştirir ve işaretini değiştirir.","Her sayının paydasında gizli bir 1 vardır, bu nedenle negatif üst takla attırıldığında pay ve paydanın yerleri değişir."]},"beginTime":793,"endTime":853,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=793&ask_summarization=1"},{"index":9,"title":"Negatif Üst Örnekleri","list":{"type":"unordered","items":["Negatif üst, sayının pay ve paydasının yerini değiştirir ve işaretini değiştirir.","Negatif üst, sayının pay ve paydasının yerini değiştirir ve işaretini değiştirir.","Negatif üst, sayının pay ve paydasının yerini değiştirir ve işaretini değiştirir."]},"beginTime":853,"endTime":982,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=853&ask_summarization=1"},{"index":10,"title":"Negatif Üst Kuralları","list":{"type":"unordered","items":["Negatif üst, sayının pay ve paydasının yerini değiştirir ve işaretini değiştirir.","Negatif üst, sayının pay ve paydasının yerini değiştirir ve işaretini değiştirir.","Negatif üst, sayının pay ve paydasının yerini değiştirir ve işaretini değiştirir."]},"beginTime":982,"endTime":1042,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=982&ask_summarization=1"},{"index":11,"title":"Negatif Üst ve İşaret Değişimi","list":{"type":"unordered","items":["Matematikte kural şudur: a'dan b'ye gidiyorsan b'den a'ya geri dönebilmen gerekir.","Negatif üst, sayının pay ve paydasının yerini değiştirir ve işaretini değiştirir.","Negatif üst, sayının pay ve paydasının yerini değiştirir ve işaretini değiştirir."]},"beginTime":1042,"endTime":1166,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1042&ask_summarization=1"},{"index":12,"title":"Birinci Kuvvet ve Sıfırıncı Kuvvet","list":{"type":"unordered","items":["Bir sayının birinci kuvvetini yazmaya gerek yoktur çünkü her sayı kendi üstünde gizli bir 1 barındırır.","Sıfırıncı kuvvet her zaman bir'dir, örneğin 8'in sıfırıncı kuvveti 1'dir.","Birinci kuvvet yazmaya gerek yoktur çünkü her sayı kendi üstünde gizli bir 1 barındırır."]},"beginTime":1166,"endTime":1241,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1166&ask_summarization=1"},{"index":13,"title":"Negatif Sayının Kuvveti","list":{"type":"unordered","items":["Negatif sayının kuvveti negatif de olsa kuvvet çift ise sonuç pozitiftir.","Negatif sayının kuvveti negatif de olsa kuvvet çift ise sonuç pozitiftir.","Negatif sayının kuvveti negatif de olsa kuvvet çift ise sonuç pozitiftir."]},"beginTime":1241,"endTime":1462,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1241&ask_summarization=1"},{"index":14,"title":"Üslü Sayılar ve Sadeleştirme","list":{"type":"unordered","items":["Üslü sayılarda sadeleştirme işlemi yapılırken, ortak bölenler bulunur ve sadeleştirme yapılır.","Üslü sayılarla ilgili ilk denemelerde başarısız olmak normaldir, devam etmek ve hataları tekrar tekrar yapmak önemlidir.","Üslü sayılarla ilgili zihinsel soyut konular tekrarla hataları azalan konulardır."]},"beginTime":1465,"endTime":1546,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1465&ask_summarization=1"},{"index":15,"title":"Üslü Sayıların Özellikleri","list":{"type":"unordered","items":["Üslü sayının bir daha üstüne alındığında, üstler çarpılır (üstünün üstü çarpılır).","Üslü sayılarda çarpma işlemi yapılırken, tabanlar aynıysa üstler toplanır.","Çift üst, eksi işaretini yutarak sayıyı artıya çevirir."]},"beginTime":1546,"endTime":1666,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1546&ask_summarization=1"},{"index":16,"title":"Üslü Sayılarda Çarpma İşleminin İspatı","list":{"type":"unordered","items":["Üslü sayılarda çarpma işleminde tabanlar aynıysa üstler toplanır.","İspat için, örneğin 2³ ve 2⁴ çarpımı 2⁷ olarak hesaplanır çünkü toplam 7 tane 2'nin çarpımıdır.","Tabanların aynı olması şartıyla, üstler toplanarak işlem kolaylaştırılır."]},"beginTime":1666,"endTime":1811,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1666&ask_summarization=1"},{"index":17,"title":"Üslü İfadelerde Çarpma İşlemi","list":{"type":"unordered","items":["Üstler aynı olduğunda, altlar çarpılır ve üst aynı şekilde korunur.","\"Altlar eşitse üstleri topla, üstler eşitse altları çarp\" kuralı kullanılır.","Üslü ifadelerde işlem yaparken, bir yere gidersek geri gelebiliriz, bu işlem sağlama olarak adlandırılır."]},"beginTime":1821,"endTime":2064,"href":"/video/preview/13264377894063234718?parent-reqid=1765356574326813-15264838161895080332-balancer-l7leveler-kubr-yp-sas-199-BAL&text=G%C3%B6rkem+Hocayla+Matematik&t=1821&ask_summarization=1"},{"index":18,"title":"Üslü İfadelerde Çarpma 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