(3y^7)^2*(4y^6)^3 eching | Microsoft math hal qiluvchi

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5xshash muammolar:

Veb-qidiruvdagi o'xshash muammolar

https://socratic.org/questions/how-do-you-simplify-3z-4-2-cdot-2y-3-3

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https://socratic.org/questions/how-do-you-evaluate-2y-2-cdot-y-3-cdot-3y-3

https://socratic.org/questions/how-do-you-simplify-y-6-3-y-12

Baham ko'rish

Klipbordga nusxa olish

\left(3y^{7}\right)^{2}\times \left(4y^{6}\right)^{3}

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

3^{2}\left(y^{7}\right)^{2}\times 4^{3}\left(y^{6}\right)^{3}

Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.

3^{2}\times 4^{3}\left(y^{7}\right)^{2}\left(y^{6}\right)^{3}

Ko'paytirishning kommutativ xususiyatidan foydalanish.

3^{2}\times 4^{3}y^{7\times 2}y^{6\times 3}

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

3^{2}\times 4^{3}y^{14}y^{6\times 3}

7 ni 2 marotabaga ko'paytirish.

3^{2}\times 4^{3}y^{14}y^{18}

6 ni 3 marotabaga ko'paytirish.

3^{2}\times 4^{3}y^{14+18}

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

3^{2}\times 4^{3}y^{32}

14 va 18 belgilarini qo'shish.

9\times 4^{3}y^{32}

3 ni 2 daraja ko'rsatgichiga oshirish.

9\times 64y^{32}

4 ni 3 daraja ko'rsatgichiga oshirish.

576y^{32}

9 ni 64 marotabaga ko'paytirish.