[-(ab^2)^3]^-2 eching

$$[ - ( a b ^ { 2 } ) ^ { 3 } ] ^ { - 2 }$$

Baholash

$$\frac{1}{a^{6}b^{12}}$$

Yechim qadamlari

\left(ab^{2}\right)^{3} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\left(-a^{3}b^{6}\right)^{-2}$$

\left(-a^{3}b^{6}\right)^{-2} ni kengaytirish.

$$\left(-1\right)^{-2}\left(a^{3}\right)^{-2}\left(b^{6}\right)^{-2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va -2 ni ko‘paytirib, -6 ni oling.

$$\left(-1\right)^{-2}a^{-6}\left(b^{6}\right)^{-2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -2 ni ko‘paytirib, -12 ni oling.

$$\left(-1\right)^{-2}a^{-6}b^{-12}$$

-2 daraja ko‘rsatkichini -1 ga hisoblang va 1 ni qiymatni oling.

$$1a^{-6}b^{-12}$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$a^{-6}b^{-12}$$

Kengaytirish

$$\frac{1}{a^{6}b^{12}}$$

Yechim qadamlari

\left(ab^{2}\right)^{3} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\left(-a^{3}b^{6}\right)^{-2}$$

\left(-a^{3}b^{6}\right)^{-2} ni kengaytirish.

$$\left(-1\right)^{-2}\left(a^{3}\right)^{-2}\left(b^{6}\right)^{-2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va -2 ni ko‘paytirib, -6 ni oling.

$$\left(-1\right)^{-2}a^{-6}\left(b^{6}\right)^{-2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -2 ni ko‘paytirib, -12 ni oling.

$$\left(-1\right)^{-2}a^{-6}b^{-12}$$

-2 daraja ko‘rsatkichini -1 ga hisoblang va 1 ni qiymatni oling.

$$1a^{-6}b^{-12}$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$a^{-6}b^{-12}$$