(8x^7/y^-7)^3 eching

$$( \frac { 8 x ^ { 7 } } { y ^ { - 7 } } ) ^ { 3 }$$

Baholash

$$512\left(xy\right)^{21}$$

Yechim qadamlari

\frac{8x^{7}}{y^{-7}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(8x^{7}\right)^{3}}{\left(y^{-7}\right)^{3}}$$

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

$$\frac{\left(8x^{7}\right)^{3}}{y^{-21}}$$

\left(8x^{7}\right)^{3} ni kengaytirish.

$$\frac{8^{3}\left(x^{7}\right)^{3}}{y^{-21}}$$

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

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

3 daraja ko‘rsatkichini 8 ga hisoblang va 512 ni qiymatni oling.

$$\frac{512x^{21}}{y^{-21}}$$

Kengaytirish

$$512\left(xy\right)^{21}$$

Yechim qadamlari

\frac{8x^{7}}{y^{-7}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(8x^{7}\right)^{3}}{\left(y^{-7}\right)^{3}}$$

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

$$\frac{\left(8x^{7}\right)^{3}}{y^{-21}}$$

\left(8x^{7}\right)^{3} ni kengaytirish.

$$\frac{8^{3}\left(x^{7}\right)^{3}}{y^{-21}}$$

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

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

3 daraja ko‘rsatkichini 8 ga hisoblang va 512 ni qiymatni oling.

$$\frac{512x^{21}}{y^{-21}}$$