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

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

Baholash

$$\frac{y^{2}}{64x^{6}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala y ni qisqartiring.

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

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

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

\frac{8x^{3}}{y}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

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

$$\frac{8^{-2}x^{-6}}{y^{-2}}$$

-2 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{\frac{1}{64}x^{-6}}{y^{-2}}$$

Kengaytirish

$$\frac{y^{2}}{64x^{6}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala y ni qisqartiring.

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

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

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

\frac{8x^{3}}{y}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

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

$$\frac{8^{-2}x^{-6}}{y^{-2}}$$

-2 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{\frac{1}{64}x^{-6}}{y^{-2}}$$