(2x^-3y^7/z^-1)^3 eching

$$( \frac { 2 x ^ { - 3 } y ^ { 7 } } { z ^ { - 1 } } ) ^ { 3 }$$

Baholash

$$\frac{8z^{3}y^{21}}{x^{9}}$$

Yechim qadamlari

\frac{2x^{-3}y^{7}}{z^{-1}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2x^{-3}y^{7}\right)^{3}}{\left(z^{-1}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va 3 ni ko‘paytirib, -3 ni oling.

$$\frac{\left(2x^{-3}y^{7}\right)^{3}}{z^{-3}}$$

\left(2x^{-3}y^{7}\right)^{3} ni kengaytirish.

$$\frac{2^{3}\left(x^{-3}\right)^{3}\left(y^{7}\right)^{3}}{z^{-3}}$$

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

$$\frac{2^{3}x^{-9}\left(y^{7}\right)^{3}}{z^{-3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 7 va 3 ni ko‘paytirib, 21 ni oling.

$$\frac{2^{3}x^{-9}y^{21}}{z^{-3}}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{8x^{-9}y^{21}}{z^{-3}}$$

Kengaytirish

$$\frac{8z^{3}y^{21}}{x^{9}}$$

Yechim qadamlari

\frac{2x^{-3}y^{7}}{z^{-1}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2x^{-3}y^{7}\right)^{3}}{\left(z^{-1}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va 3 ni ko‘paytirib, -3 ni oling.

$$\frac{\left(2x^{-3}y^{7}\right)^{3}}{z^{-3}}$$

\left(2x^{-3}y^{7}\right)^{3} ni kengaytirish.

$$\frac{2^{3}\left(x^{-3}\right)^{3}\left(y^{7}\right)^{3}}{z^{-3}}$$

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

$$\frac{2^{3}x^{-9}\left(y^{7}\right)^{3}}{z^{-3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 7 va 3 ni ko‘paytirib, 21 ni oling.

$$\frac{2^{3}x^{-9}y^{21}}{z^{-3}}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{8x^{-9}y^{21}}{z^{-3}}$$