(8x^3y^4)^-2/4xy eching

$$\frac { ( 8 x ^ { 3 } y ^ { 4 } ) ^ { - 2 } } { 4 x y }$$

Baholash

$$\frac{1}{256x^{7}y^{9}}$$

Yechim qadamlari

\left(8x^{3}y^{4}\right)^{-2} ni kengaytirish.

$$\frac{8^{-2}\left(x^{3}\right)^{-2}\left(y^{4}\right)^{-2}}{4xy}$$

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

$$\frac{8^{-2}x^{-6}\left(y^{4}\right)^{-2}}{4xy}$$

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

$$\frac{8^{-2}x^{-6}y^{-8}}{4xy}$$

-2 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{\frac{1}{64}x^{-6}y^{-8}}{4xy}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\frac{1}{64}}{4x^{7}y^{9}}$$

\frac{\frac{1}{64}}{4x^{7}y^{9}} ni yagona kasrga aylantiring.

$$\frac{1}{64\times 4x^{7}y^{9}}$$

256 hosil qilish uchun 64 va 4 ni ko'paytirish.

$$\frac{1}{256x^{7}y^{9}}$$

Kengaytirish

$$\frac{1}{256x^{7}y^{9}}$$

Yechim qadamlari

\left(8x^{3}y^{4}\right)^{-2} ni kengaytirish.

$$\frac{8^{-2}\left(x^{3}\right)^{-2}\left(y^{4}\right)^{-2}}{4xy}$$

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

$$\frac{8^{-2}x^{-6}\left(y^{4}\right)^{-2}}{4xy}$$

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

$$\frac{8^{-2}x^{-6}y^{-8}}{4xy}$$

-2 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{\frac{1}{64}x^{-6}y^{-8}}{4xy}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\frac{1}{64}}{4x^{7}y^{9}}$$

\frac{\frac{1}{64}}{4x^{7}y^{9}} ni yagona kasrga aylantiring.

$$\frac{1}{64\times 4x^{7}y^{9}}$$

256 hosil qilish uchun 64 va 4 ni ko'paytirish.

$$\frac{1}{256x^{7}y^{9}}$$