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Eğitmen, Tonguç Akademi'den bir eğitimci olarak izleyicilere hitap etmektedir.","Video, üslü ifadelerin tanımı ile başlayıp, çarpma, bölme, toplama ve çıkarma işlemlerinin kurallarını detaylı şekilde açıklamaktadır. Üslü sayıların özellikleri, sıfırıncı kuvvet, negatif üslü ifadeler, tabanların aynı olması durumunda kuvvetlerin eşitliği gibi temel kavramlar örneklerle pekiştirilmektedir. Ayrıca, yazılı sınavlarda çıkabilecek soru tipleri çözülerek konu pekiştirilmektedir.","Videoda ayrıca üslü denklemlerin çözümü, rasyonel sayılarla ilgili işlemler ve taban-kuvvet ilişkileri gibi konular ele alınmaktadır. Eğitmen, izleyicilerle etkileşimli bir ders anlatımı sunmakta ve video sonunda ödüllü bir soru ile izleyicilerden yorumlar kısmına cevap yazmalarını istemektedir."]},"endTime":4897,"title":"Üslü İfadeler Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Üslü İfadelerin Tanımı","list":{"type":"unordered","items":["Üslü ifadeler, bir reel sayı (a) ile pozitif tam sayı (n) arasındaki ilişkiyi gösterir ve a çarpı a çarpı ... çarpı a (n tane a'nın çarpımı) ifadesi aⁿ şeklinde gösterilir.","Üslü ifadeler, çarpmanın kolay gösterimidir; toplamanın kısa gösterimi çarpma ise, çarpmanın kısa gösterimi üslü ifadelerdir.","Sayının sağ üst köşesindeki sayı, o sayının kaç kez çarpıldığını gösterir."]},"beginTime":1,"endTime":199,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=1&ask_summarization=1"},{"index":1,"title":"Üslü İfadelerde Kurallar","list":{"type":"unordered","items":["Çarpma işlemi varken tabanlar aynı ise, kuvvetler toplanır ve tek tabanda yazılır: xᵐ × xⁿ = x^(m+n).","Bölme işlemi varken tabanlar aynı ise, payın kuvvetinden paydanın kuvveti çıkarılır: xᵐ ÷ xⁿ = x^(m-n).","Çarpma işlemi varken tabanlar farklı ve kuvvetler aynı ise, tabanlar çarpılır ve kuvvet aynı kalır: xᵐ × yᵐ = (x×y)ᵐ.","Bölme işlemi varken tabanlar farklı ve kuvvetler aynı ise, tabanlar bölünür ve kuvvet aynı kalır: (x÷y)ᵐ = (x/y)ᵐ."]},"beginTime":199,"endTime":375,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=199&ask_summarization=1"},{"index":2,"title":"Üslü İfadelerde Çarpma ve Bölme Kuralları","list":{"type":"unordered","items":["Çarpma işlemi varken kuvvetler aynı ise, tabanlar çarpılır ve ortak olan kuvvet yazılır (örneğin 2⁵ × 5⁵ = 10⁵).","Bölme işlemi varken kuvvetler aynı ise, tabanlar bölünür ve ortak olan kuvvet yazılır (örneğin 20⁵ ÷ 5⁵ = 4⁵).","Herhangi bir sayının sıfırıncı kuvveti daima 1'dir."]},"beginTime":376,"endTime":515,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=376&ask_summarization=1"},{"index":3,"title":"Negatif Sayıların Kuvvetleri","list":{"type":"unordered","items":["Herhangi bir negatif sayının çift kuvveti alındığında sonucu daima sıfırdan büyük çıkar (işaret değişir).","Herhangi bir negatif sayının tek kuvveti alındığında sonucu daima sıfırdan küçüktür (işaret değişmez).","Pozitif sayıların kuvveti alındığında sonucu her zaman pozitiftir, işareti değişmez."]},"beginTime":515,"endTime":695,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=515&ask_summarization=1"},{"index":4,"title":"Üslü İfadelerde İşaret İncelemeleri","list":{"type":"unordered","items":["İşaret incelemelerinde dikkat edilmesi gereken nokta, üs alma işleminin çarpma ve bölmeden öncelikli olmasıdır.","(-a)² = a² olur çünkü parantez içindeki ifadenin karesi alınır.","-a² = -a² olur çünkü önce a² hesaplanır sonra eksi işareti eklenir."]},"beginTime":695,"endTime":945,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=695&ask_summarization=1"},{"index":5,"title":"Negatif Kuvvetlerde Kurallar","list":{"type":"unordered","items":["Paydadaki üslü ifadeyi paya çıkartırken kuvveti eksi ile çarpılır (1/aⁿ = a⁻ⁿ).","Pay ve paydaya bulunan üslü ifadelerde negatif kuvvetten kurtulmak için pay ve paydanın yer değiştirmesi gerekir (a/b⁻ⁿ = bⁿ/a).","Bu kuralların nedeni, herhangi bir sayının sıfırıncı kuvveti 1 olup, pay ve paydanın aynı tabana sahip olmasıdır."]},"beginTime":945,"endTime":1052,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=945&ask_summarization=1"},{"index":6,"title":"Üslü Sayılar Kuralları","list":{"type":"unordered","items":["Tek tabanda ardışık kuvvetler varsa, bunlar daima çarparak yazılır: a üzeri k çarpı n veya a üzeri k üzeri n şeklinde.","Negatif sayıların kuvvetlerini alırken önce işaret incelemesi yapılır, ardından pozitif sayı gibi düşünülebilir.","Kuvvet negatif ise, pay ve paydanın yerini değiştirerek kuvveti pozitife dönüştürebilirsiniz."]},"beginTime":1054,"endTime":1244,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=1054&ask_summarization=1"},{"index":7,"title":"İşaret İncelemesi","list":{"type":"unordered","items":["Eksi sekiz'in küpünün karesi hesaplanırken, önce küp alınır (negatif sonuç) sonra karesi alınır (pozitif sonuç).","Eksi sekiz'in karesinin kübü hesaplanırken, önce karesi alınır (pozitif sonuç) sonra küpü alınır (negatif sonuç).","İşaret incelemesi yaptıktan sonra, üslü ifadeler birer pozitif sayı gibi düşünülebilir."]},"beginTime":1244,"endTime":1504,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=1244&ask_summarization=1"},{"index":8,"title":"Üslü Sayılarda Toplama ve Çıkarma","list":{"type":"unordered","items":["Üslü sayılarda toplama çıkarma yapabilmek için tabanların ve kuvvetlerin aynı olması gerekir.","Bir'in herhangi bir kuvveti daima bir'dir, herhangi bir sayının birinci kuvveti sayının kendisini anlatır.","Eksi bir'in çift kuvveti bir, tek kuvveti ise eksi bir'dir."]},"beginTime":1504,"endTime":1617,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=1504&ask_summarization=1"},{"index":9,"title":"Üslü İfadelerin Değerlendirilmesi","list":{"type":"unordered","items":["Üslü ifadelerin değerleri hesaplanırken, sayının büyüklüğüne dikkat edilmelidir.","Üslü ifadelerin değerleri hızlıca büyüyebilir, örneğin 2 üzeri 6 = 64, 2 üzeri 7 = 128, 2 üzeri 8 = 256.","Üslü ifadelerle ilgili sorular yazılı sınavlarda sıkça çıkmaktadır."]},"beginTime":1617,"endTime":1723,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=1617&ask_summarization=1"},{"index":10,"title":"Üslü İfadelerde İşaret Analizi","list":{"type":"unordered","items":["Üslü ifadelerde önce işaret incelemesi yapılır, sonra tabanlar aynıysa kuvvetler toplanır.","Eksinin çift kuvveti alınca sonuç pozitif, tek kuvveti alınca sonuç negatif olur.","Kuvvetlerdeki fazlalıklar (toplama veya çıkarma) her zaman yanına indirilir."]},"beginTime":1729,"endTime":1866,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=1729&ask_summarization=1"},{"index":11,"title":"Üslü Denklemler Çözümü","list":{"type":"unordered","items":["Üslü denklemlerde ifadeler birbirine benzetilmeli ve ortak bir ifade yakalanmalıdır.","Kuvvetlerdeki fazlalıklar yanına indirildiğinde daha kolay çözüm yapılabilir.","Üslü ifadelerde toplama ve çıkarma yapabilmek için kuvvetlerin ve tabanların aynı olması gerekir."]},"beginTime":1866,"endTime":2029,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=1866&ask_summarization=1"},{"index":12,"title":"Örnek Problemler","list":{"type":"unordered","items":["Üslü ifadelerde kuvvetin negatif olması, pay ve paydasının yer değiştirmesini anlatır.","Çok büyük sayılarla işlem yaparken, sayıların arasındaki ilişkileri fark etmek önemlidir.","Rasyonel sayılar üslü ifadelerle birlikte kullanıldığında, onluk tabanda yazılan sayılar onun kuvvetleri olarak ifade edilebilir."]},"beginTime":2029,"endTime":2310,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=2029&ask_summarization=1"},{"index":13,"title":"Üslü İfadelerde Sadeleştirme","list":{"type":"unordered","items":["Üslü ifadelerde kuvvetler aynı olduğunda, payı paydaya bölebiliriz.","Üslü ifadelerde pay veya paydadaki yerini değiştirirsek, kuvvet işaret değiştirerek diğer tarafa geçer.","Üslü ifadelerde sadeleştirme yapabilmek için son işlem çarpma olmalıdır, toplama ve çıkarma işlemi varken sadeleştirme yapılamaz."]},"beginTime":2311,"endTime":2385,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=2311&ask_summarization=1"},{"index":14,"title":"Üslü İfadelerde İşlem Örnekleri","list":{"type":"unordered","items":["Üslü ifadelerde büyük kuvveti küçük kuvvete benzetmek için, büyük kuvvete eşit olan ifadeyi yazabiliriz.","Üslü ifadelerde toplama ve çıkarma işlemleri yapıldığında, benzer terimler toplanıp çıkarılabilir.","Üslü ifadelerde x değeri bilinmese bile, herhangi bir tam sayı değeri bulunabilir."]},"beginTime":2385,"endTime":2606,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=2385&ask_summarization=1"},{"index":15,"title":"Zor Bir Yazılı Sorusu","list":{"type":"unordered","items":["Dört bir artı beş üzeri m eksi n artı dört bölü bir artı beş üzeri n eksi m toplamının hesaplanması için kuvvetin negatifliğinden kurtulmak gerekiyor.","Kuvvetin negatif olması, beş üzeri n bölü beş üzeri m ifadesini anlatıyor ve payda eşitleme işlemi yapılıyor.","Sonuçta dört çarpı beş üzeri n artı beş üzeri m ifadesi elde ediliyor ve bu genellemede, toplamın ilk terimine eşit oluyor."]},"beginTime":2613,"endTime":2763,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=2613&ask_summarization=1"},{"index":16,"title":"Üçüncü Yazılı Sorusu","list":{"type":"unordered","items":["İki üzeri x m, üç üzeri x eşittir, beş üzeri x eşittir t olmak üzere 120'nin x'inci kuvvetini m, n ve t cinsinden anlatma sorusu verilmiş.","120 sayısının asal çarpanları 2 üzeri 3 çarpı 3 üzeri 1 çarpı 5 üzeri 1 olarak bulunuyor.","120 üzeri x ifadesi m'nin küpü çarpı n çarpı t şeklinde yazılabilir."]},"beginTime":2763,"endTime":2878,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=2763&ask_summarization=1"},{"index":17,"title":"Dördüncü Yazılı Sorusu","list":{"type":"unordered","items":["İki üzeri m küçüktür 80 ve üç üzeri n küçüktür 100 olduğuna göre m ve n tam sayıların toplamı en çok kaç olabilir sorusu verilmiş.","İki üzeri 6=64, iki üzeri 7=128 olduğundan m'nin en büyük değeri 6 olabilir.","Üç üzeri 4=81, üç üzeri 5=243 olduğundan n'nin en büyük değeri 4 olabilir ve toplamları en fazla 10 olabilir."]},"beginTime":2878,"endTime":3039,"href":"/video/preview/6443560493472402416?parent-reqid=1774286090914997-1536781602753769855-balancer-l7leveler-kubr-yp-vla-56-BAL&text=TOLGA+USLU&t=2878&ask_summarization=1"},{"index":18,"title":"Beşinci Yazılı Sorusu","list":{"type":"unordered","items":["3 üzeri a çarpı 4 üzeri b eşittir 3 olduğuna göre 3 üzeri a artı 3 üzeri b 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