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Hazırlayan: Kemal Duran (Matematik Öğretmeni)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1975414/bada03e826a2946215c69c560bde6d03/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/fRVDFwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769789255066449-14707690607067212403-balancer-l7leveler-kubr-yp-vla-115-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769789255066449-14707690607067212403-balancer-l7leveler-kubr-yp-vla-115-BAL&text=videoid:13680457940038867047","teaser":[{"list":{"type":"unordered","items":["Bu video, matematik eğitimi formatında hazırlanmış bir ders anlatımıdır. Eğitmen, karmaşık sayılar konusunda 1+i ve 1-i ifadelerinin üslerini hesaplama yöntemlerini açıklamaktadır.","Video, 1+i ve 1-i'nin karelerinin özel durumlarını (1+i² = 2, 1-i² = -2) açıklayarak başlıyor. Ardından çift ve tek üslü ifadelerin nasıl hesaplanacağı adım adım gösteriliyor. Eğitmen, bu konunun okul sınavlarında ve test sorularında sıkça karşılaşılacağını belirterek, genişletilmiş ifadelerin nasıl işleneceğini de örneklerle açıklıyor. Video, karmaşık sayılar konusunda temel bilgileri pekiştirmek isteyen öğrenciler için faydalı bir kaynak niteliğindedir."]},"endTime":693,"title":"Karmaşık Sayılar: 1+i ve 1-i'nin Üsleri","beginTime":0}],"fullResult":[{"index":0,"title":"Karmaşık Sayıların Özel Üs Özellikleri","list":{"type":"unordered","items":["Bu videoda (1+i) ve (1-i) karmaşık sayılarının üsleri incelenecektir.","(1+i)² = 2 ve (1-i)² = -2 özel durumları karmaşık sayılar konusunda sıkça karşılaşılan ve kolay hesaplama sağlayacak durumlardır.","Bu özel durumlar okul sınavlarında ve test sorularında sıkça karşımıza gelecektir."]},"beginTime":1,"endTime":129,"href":"/video/preview/13680457940038867047?parent-reqid=1769789255066449-14707690607067212403-balancer-l7leveler-kubr-yp-vla-115-BAL&text=OS+WORLD1&t=1&ask_summarization=1"},{"index":1,"title":"Çift Üslü Sorular","list":{"type":"unordered","items":["(1+i)¹⁰ = (1+i)²⁵ = 2⁵ = 32i olarak hesaplanır.","(1-i)²⁰ = (1-i)²¹⁰ = (-2)¹⁰ = 1024 olarak bulunur.","Karmaşık sayıların üsleri 4'er 4'er tekrar eder, bu nedenle üs 4'e bölünerek kalan bulunur."]},"beginTime":129,"endTime":281,"href":"/video/preview/13680457940038867047?parent-reqid=1769789255066449-14707690607067212403-balancer-l7leveler-kubr-yp-vla-115-BAL&text=OS+WORLD1&t=129&ask_summarization=1"},{"index":2,"title":"Tek Üslü Sorular","list":{"type":"unordered","items":["Tek üslü sorularda önce bir tane karmaşık sayı kenara ayrılır, örneğin (1+i)¹¹ = (1+i) × (1+i)¹⁰ şeklinde.","(1+i)¹¹ = (1+i) × 32i = 32i - 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