left(2a^6b^-4right)^-5 eching

$${ \left(2 { a }^{ 6 } { b }^{ -4 } \right) }^{ -5 }$$

Baholash

$$\frac{b^{20}}{32a^{30}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(2a^{6}b^{-4}\right)^{-5}$$

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

$$2^{-5}\left(a^{6}\right)^{-5}\left(b^{-4}\right)^{-5}$$

2 ni -5 daraja ko'rsatgichiga oshirish.

$$\frac{1}{32}\left(a^{6}\right)^{-5}\left(b^{-4}\right)^{-5}$$

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

$$\frac{1}{32}a^{6\left(-5\right)}b^{-4\left(-5\right)}$$

6 ni -5 marotabaga ko'paytirish.

$$\frac{1}{32}\times \frac{1}{a^{30}}b^{-4\left(-5\right)}$$

-4 ni -5 marotabaga ko'paytirish.

$$\frac{1}{32}\times \frac{1}{a^{30}}b^{20}$$

Kengaytirish

$$\frac{b^{20}}{32a^{30}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(2a^{6}b^{-4}\right)^{-5}$$

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

$$2^{-5}\left(a^{6}\right)^{-5}\left(b^{-4}\right)^{-5}$$

2 ni -5 daraja ko'rsatgichiga oshirish.

$$\frac{1}{32}\left(a^{6}\right)^{-5}\left(b^{-4}\right)^{-5}$$

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

$$\frac{1}{32}a^{6\left(-5\right)}b^{-4\left(-5\right)}$$

6 ni -5 marotabaga ko'paytirish.

$$\frac{1}{32}\times \frac{1}{a^{30}}b^{-4\left(-5\right)}$$

-4 ni -5 marotabaga ko'paytirish.

$$\frac{1}{32}\times \frac{1}{a^{30}}b^{20}$$