(frac{2x^{4}z^-4}{8x^3yz^2})^-3 eching

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

Baholash

$$64\times \left(\frac{y}{x}\right)^{3}z^{18}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2x^{3} ni qisqartiring.

$$\left(\frac{z^{-4}x}{4yz^{2}}\right)^{-3}$$

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

$$\left(\frac{x}{4yz^{6}}\right)^{-3}$$

\frac{x}{4yz^{6}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{x^{-3}}{\left(4yz^{6}\right)^{-3}}$$

\left(4yz^{6}\right)^{-3} ni kengaytirish.

$$\frac{x^{-3}}{4^{-3}y^{-3}\left(z^{6}\right)^{-3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -3 ni ko‘paytirib, -18 ni oling.

$$\frac{x^{-3}}{4^{-3}y^{-3}z^{-18}}$$

-3 daraja ko‘rsatkichini 4 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{x^{-3}}{\frac{1}{64}y^{-3}z^{-18}}$$

Kengaytirish

$$64\times \left(\frac{y}{x}\right)^{3}z^{18}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2x^{3} ni qisqartiring.

$$\left(\frac{z^{-4}x}{4yz^{2}}\right)^{-3}$$

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

$$\left(\frac{x}{4yz^{6}}\right)^{-3}$$

\frac{x}{4yz^{6}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{x^{-3}}{\left(4yz^{6}\right)^{-3}}$$

\left(4yz^{6}\right)^{-3} ni kengaytirish.

$$\frac{x^{-3}}{4^{-3}y^{-3}\left(z^{6}\right)^{-3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -3 ni ko‘paytirib, -18 ni oling.

$$\frac{x^{-3}}{4^{-3}y^{-3}z^{-18}}$$

-3 daraja ko‘rsatkichini 4 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{x^{-3}}{\frac{1}{64}y^{-3}z^{-18}}$$