-4(3a^-1b^4)^-2 eching

$$- 4 ( 3 a ^ { - 1 } b ^ { 4 } ) ^ { - 2 }$$

Baholash

$$-\frac{4a^{2}}{9b^{8}}$$

Yechim qadamlari

\left(3a^{-1}b^{4}\right)^{-2} ni kengaytirish.

$$-4\times 3^{-2}\left(a^{-1}\right)^{-2}\left(b^{4}\right)^{-2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va -2 ni ko‘paytirib, 2 ni oling.

$$-4\times 3^{-2}a^{2}\left(b^{4}\right)^{-2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -2 ni ko‘paytirib, -8 ni oling.

$$-4\times 3^{-2}a^{2}b^{-8}$$

-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$-4\times \frac{1}{9}a^{2}b^{-8}$$

-\frac{4}{9} hosil qilish uchun -4 va \frac{1}{9} ni ko'paytirish.

$$-\frac{4}{9}a^{2}b^{-8}$$

Kengaytirish

$$-\frac{4a^{2}}{9b^{8}}$$

Yechim qadamlari

\left(3a^{-1}b^{4}\right)^{-2} ni kengaytirish.

$$-4\times 3^{-2}\left(a^{-1}\right)^{-2}\left(b^{4}\right)^{-2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va -2 ni ko‘paytirib, 2 ni oling.

$$-4\times 3^{-2}a^{2}\left(b^{4}\right)^{-2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -2 ni ko‘paytirib, -8 ni oling.

$$-4\times 3^{-2}a^{2}b^{-8}$$

-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$-4\times \frac{1}{9}a^{2}b^{-8}$$

-\frac{4}{9} hosil qilish uchun -4 va \frac{1}{9} ni ko'paytirish.

$$-\frac{4}{9}a^{2}b^{-8}$$