(2x^3/y^2)^-3 eching

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

Baholash

$$\frac{y^{6}}{8x^{9}}$$

Yechim qadamlari

\frac{2x^{3}}{y^{2}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

$$\frac{\left(2x^{3}\right)^{-3}}{y^{-6}}$$

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

$$\frac{2^{-3}\left(x^{3}\right)^{-3}}{y^{-6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va -3 ni ko‘paytirib, -9 ni oling.

$$\frac{2^{-3}x^{-9}}{y^{-6}}$$

-3 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\frac{\frac{1}{8}x^{-9}}{y^{-6}}$$

Kengaytirish

$$\frac{y^{6}}{8x^{9}}$$

Yechim qadamlari

\frac{2x^{3}}{y^{2}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

$$\frac{\left(2x^{3}\right)^{-3}}{y^{-6}}$$

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

$$\frac{2^{-3}\left(x^{3}\right)^{-3}}{y^{-6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va -3 ni ko‘paytirib, -9 ni oling.

$$\frac{2^{-3}x^{-9}}{y^{-6}}$$

-3 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\frac{\frac{1}{8}x^{-9}}{y^{-6}}$$