left(3x^8y^-8right)^-2/3x^-8{y^8} eching

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

Baholash

$$\frac{\left(\frac{y}{x}\right)^{8}}{27}$$

Yechim qadamlari

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

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 8 va -2 ni ko‘paytirib, -16 ni oling.

$$\frac{3^{-2}x^{-16}\left(y^{-8}\right)^{-2}}{3x^{-8}y^{8}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -8 va -2 ni ko‘paytirib, 16 ni oling.

$$\frac{3^{-2}x^{-16}y^{16}}{3x^{-8}y^{8}}$$

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

$$\frac{\frac{1}{9}x^{-16}y^{16}}{3x^{-8}y^{8}}$$

Surat va maxrajdagi ikkala y^{8} ni qisqartiring.

$$\frac{\frac{1}{9}x^{-16}y^{8}}{3x^{-8}}$$

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

$$\frac{\frac{1}{9}y^{8}}{3x^{8}}$$

Kengaytirish

$$\frac{\left(\frac{y}{x}\right)^{8}}{27}$$

Yechim qadamlari

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

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 8 va -2 ni ko‘paytirib, -16 ni oling.

$$\frac{3^{-2}x^{-16}\left(y^{-8}\right)^{-2}}{3x^{-8}y^{8}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -8 va -2 ni ko‘paytirib, 16 ni oling.

$$\frac{3^{-2}x^{-16}y^{16}}{3x^{-8}y^{8}}$$

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

$$\frac{\frac{1}{9}x^{-16}y^{16}}{3x^{-8}y^{8}}$$

Surat va maxrajdagi ikkala y^{8} ni qisqartiring.

$$\frac{\frac{1}{9}x^{-16}y^{8}}{3x^{-8}}$$

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

$$\frac{\frac{1}{9}y^{8}}{3x^{8}}$$