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And today we'll learn the 9 ways to destroy our models! 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Matematik 9.Sınıf Matematik Yeni Müfredat Konuları 1.Tema Sayılar Gerçek Sayıların Üslü Gösterimi 1 Üslü Sayının Tanımı Üslü Sayıların Gösterimi Üslü Sayılar Konu Anlatımı Üslü Sayılar Soru...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2295576/6304605de4524bb02818435985484569/564x318_1"},"target":"_self","position":"3","reqid":"1769786008161526-5197928708801513374-balancer-l7leveler-kubr-yp-klg-249-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769786008161526-5197928708801513374-balancer-l7leveler-kubr-yp-klg-249-BAL&text=videoid:3183188314363314493","teaser":[{"list":{"type":"unordered","items":["Bu video, Mehmet Hoca ve \"Rehber Matematik Tayfa\" olarak kendini tanıtan bir matematik öğretmeninin 9. sınıf öğrencilerine üslü sayılar konusunu anlattığı eğitim içeriğidir.","Video, 2025 güncel müfredata uygun olarak üslü sayılar konusunu üç aşamalı bir yapıda ele almaktadır: mavi sayfalarda konu anlatımları, yeşil sayfalarda soru avcısı sayfaları ve derece testi. İçerikte doğal sayılar, pozitif ve negatif üslü ifadeler, pozitif sayıların tüm kuvvetlerinin pozitif olması, negatif sayıların çift kuvvetlerinde eksi işaretinin kalktığı ve tek kuvvetlerinde eksi işaretinin kaldığı gibi temel prensipler örneklerle açıklanmaktadır.","Videoda ayrıca özel işlemler tanımlaması, üslü ifadelerin değerlerini hesaplama ve her zaman doğru olan ifadeleri belirleme gibi farklı soru tipleri çözülmektedir. Video, üslü sayılar konusunun birinci adımının tamamlanmasıyla sona ererken, ikinci videoda tüm ayrıntıların, tanımların, kavramların ve ispatların anlatılacağı bilgisi verilmektedir."]},"endTime":1719,"title":"9. Sınıf Matematik Dersi: Üslü Sayılar","beginTime":0}],"fullResult":[{"index":0,"title":"9. Sınıf Matematik Derslerine Giriş","list":{"type":"unordered","items":["Mehmet hocanın 2025 güncel müfredata uygun 9. sınıf matematik dersleri başlıyor.","Dersler üç aşamadan oluşacak: mavi sayfalarda konu anlatımları, yeşil sayfalarda soru avcısı sayfaları ve üçüncü aşamada derece testleri.","Dersler ücretsiz yayınlanacak, PDF'ler ise RM Akademi katıl butonuna tıklayarak erişilebilecek."]},"beginTime":0,"endTime":117,"href":"/video/preview/3183188314363314493?parent-reqid=1769786008161526-5197928708801513374-balancer-l7leveler-kubr-yp-klg-249-BAL&text=9Ways+Tutorials&t=0&ask_summarization=1"},{"index":1,"title":"Ders Yapısı ve Temalar","list":{"type":"unordered","items":["Eskiden ünite kavramı vardı, şimdi tema kavramı kullanılıyor ve toplam yedi tema olacak.","İlk tema \"Sayılar\" olup, gerçek sayıların üstü ve köklü gösterimleri ile yapılan işlemler alt başlıklarını içeriyor.","Üslü sayılar konusuna ilk adım olarak başlanacak."]},"beginTime":117,"endTime":251,"href":"/video/preview/3183188314363314493?parent-reqid=1769786008161526-5197928708801513374-balancer-l7leveler-kubr-yp-klg-249-BAL&text=9Ways+Tutorials&t=117&ask_summarization=1"},{"index":2,"title":"Üslü Sayıların Tanımı","list":{"type":"unordered","items":["Üslü sayı, a'dan farklı bir gerçel sayı ve n'den pozitif bir tam sayı olmak üzere a üssü n ifadesine üslü gösterim adı verilir.","a üssü n ifadesinde a taban, n ise üs olarak adlandırılır ve a sayısının n tane yan yana çarpımı anlamına gelir.","5+5+5+5+5 ifadesi 5 üzeri 5 ile karıştırılmamalı, bu ifade 5×5×5×5×5 anlamına gelir."]},"beginTime":251,"endTime":333,"href":"/video/preview/3183188314363314493?parent-reqid=1769786008161526-5197928708801513374-balancer-l7leveler-kubr-yp-klg-249-BAL&text=9Ways+Tutorials&t=251&ask_summarization=1"},{"index":3,"title":"Üslü Sayıların Özel Durumları","list":{"type":"unordered","items":["a'dan farklı olmak üzere a üssü 0, sıfır hariç bir sayının üstüne yazıldığında o sayı daima 1 kabul edilir.","Taban sıfır olduğunda üs herhangi bir sayı olursa, bu ifade matematikte tanımlanmamış ve belirsizlik durumudur.","Herhangi bir sayı (n sıfırdan farklı) üzeri 0, her zaman 1'e eşittir."]},"beginTime":333,"endTime":416,"href":"/video/preview/3183188314363314493?parent-reqid=1769786008161526-5197928708801513374-balancer-l7leveler-kubr-yp-klg-249-BAL&text=9Ways+Tutorials&t=333&ask_summarization=1"},{"index":4,"title":"Üslü Sayılarla İlgili Örnek Sorular","list":{"type":"unordered","items":["3 üzeri 4 ifadesi 3×3×3×3 anlamına gelir ve sonucu 81'dir.","5×5 üzeri 5 ifadesi 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Sayılar ve Üslü İfadeler","list":{"type":"unordered","items":["Doğal sayılar sıfırdan başlayıp bir, iki, üç şeklinde artı sonsuza kadar giden sayılardır.","a ve b doğal sayı olmak üzere, a üzeri b = 81 olduğunda, bu koşulu sağlayan a+b toplamının alabileceği en küçük değer 7, en büyük değer 11'dir.","81'in farklı üslü ifadeleri 9² ve 3⁴'tür, bu değerlerin toplamı 89'dur."]},"beginTime":533,"endTime":632,"href":"/video/preview/3183188314363314493?parent-reqid=1769786008161526-5197928708801513374-balancer-l7leveler-kubr-yp-klg-249-BAL&text=9Ways+Tutorials&t=533&ask_summarization=1"},{"index":6,"title":"Negatif Üsler","list":{"type":"unordered","items":["Bir ifadenin üstüne negatif bir üs yazıldığında, amaç sayıya takla attırmaktır.","a üzeri eksi n, 1 bölü a üzeri n anlamına gelir.","Örneğin, 3 üzeri eksi 2, 1 bölü 3 üzeri 2 demektir ve sonucu 1/9'dur."]},"beginTime":632,"endTime":679,"href":"/video/preview/3183188314363314493?parent-reqid=1769786008161526-5197928708801513374-balancer-l7leveler-kubr-yp-klg-249-BAL&text=9Ways+Tutorials&t=632&ask_summarization=1"},{"index":7,"title":"Üslü Sayılar Kuralları","list":{"type":"unordered","items":["Pozitif sayıların tüm kuvvetleri pozitiftir, örneğin 3'ün herhangi bir kuvveti pozitiftir.","Negatif sayıların çift kuvveti alındığında içerideki eksi işareti kaybolur ve sonuç pozitif olur.","Negatif sayıların tek kuvveti alındığında içerideki eksi işareti korunur ve sonuç negatif olur."]},"beginTime":681,"endTime":766,"href":"/video/preview/3183188314363314493?parent-reqid=1769786008161526-5197928708801513374-balancer-l7leveler-kubr-yp-klg-249-BAL&text=9Ways+Tutorials&t=681&ask_summarization=1"},{"index":8,"title":"Üslü Sayılar Örnekleri","list":{"type":"unordered","items":["(-3)⁴ ifadesinde üst çift sayı olduğu için eksi işareti kaybolur ve sonuç -81 olur.","(-5)⁴ ifadesinde üst çift 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etmek için çarpılacak sayı yoktur.","0, 0'a bölünemez ve bu durum matematikte tanımsızdır.","Tanımsız, bir şeyin tanımlanmamış olduğu anlamına gelir."]},"beginTime":980,"endTime":1014,"href":"/video/preview/3183188314363314493?parent-reqid=1769786008161526-5197928708801513374-balancer-l7leveler-kubr-yp-klg-249-BAL&text=9Ways+Tutorials&t=980&ask_summarization=1"},{"index":11,"title":"Karmaşık Üslü Sayılar","list":{"type":"unordered","items":["2⁻² ifadesinde üst negatif olduğu için sayı ters çevrilir ve 1/2 olur.","(-3)⁻¹ ifadesinde üst negatif olduğu için sayı ters çevrilir ve -1/3 olur.","(-5)⁻¹ ifadesinde üst negatif olduğu için sayı ters çevrilir ve -1/5 olur."]},"beginTime":1014,"endTime":1141,"href":"/video/preview/3183188314363314493?parent-reqid=1769786008161526-5197928708801513374-balancer-l7leveler-kubr-yp-klg-249-BAL&text=9Ways+Tutorials&t=1014&ask_summarization=1"},{"index":12,"title":"Değişkenli Üslü Sayılar","list":{"type":"unordered","items":["a = 2 ve b = -3 olduğunda a⁻³ 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