(frac{-4x^{4}y^-2}{5x^-1y^4})^-4 eching

$$( \frac { - 4 x ^ { 4 } y ^ { - 2 } } { 5 x ^ { - 1 } y ^ { 4 } } ) ^ { - 4 }$$

Baholash

$$\frac{625y^{24}}{256x^{20}}$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\left(\frac{-4y^{-2}x^{5}}{5y^{4}}\right)^{-4}$$

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

$$\left(\frac{-4x^{5}}{5y^{6}}\right)^{-4}$$

\frac{-4x^{5}}{5y^{6}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(-4x^{5}\right)^{-4}}{\left(5y^{6}\right)^{-4}}$$

\left(-4x^{5}\right)^{-4} ni kengaytirish.

$$\frac{\left(-4\right)^{-4}\left(x^{5}\right)^{-4}}{\left(5y^{6}\right)^{-4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -4 ni ko‘paytirib, -20 ni oling.

$$\frac{\left(-4\right)^{-4}x^{-20}}{\left(5y^{6}\right)^{-4}}$$

-4 daraja ko‘rsatkichini -4 ga hisoblang va \frac{1}{256} ni qiymatni oling.

$$\frac{\frac{1}{256}x^{-20}}{\left(5y^{6}\right)^{-4}}$$

\left(5y^{6}\right)^{-4} ni kengaytirish.

$$\frac{\frac{1}{256}x^{-20}}{5^{-4}\left(y^{6}\right)^{-4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -4 ni ko‘paytirib, -24 ni oling.

$$\frac{\frac{1}{256}x^{-20}}{5^{-4}y^{-24}}$$

-4 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{625} ni qiymatni oling.

$$\frac{\frac{1}{256}x^{-20}}{\frac{1}{625}y^{-24}}$$

Kengaytirish

$$\frac{625y^{24}}{256x^{20}}$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\left(\frac{-4y^{-2}x^{5}}{5y^{4}}\right)^{-4}$$

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

$$\left(\frac{-4x^{5}}{5y^{6}}\right)^{-4}$$

\frac{-4x^{5}}{5y^{6}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(-4x^{5}\right)^{-4}}{\left(5y^{6}\right)^{-4}}$$

\left(-4x^{5}\right)^{-4} ni kengaytirish.

$$\frac{\left(-4\right)^{-4}\left(x^{5}\right)^{-4}}{\left(5y^{6}\right)^{-4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -4 ni ko‘paytirib, -20 ni oling.

$$\frac{\left(-4\right)^{-4}x^{-20}}{\left(5y^{6}\right)^{-4}}$$

-4 daraja ko‘rsatkichini -4 ga hisoblang va \frac{1}{256} ni qiymatni oling.

$$\frac{\frac{1}{256}x^{-20}}{\left(5y^{6}\right)^{-4}}$$

\left(5y^{6}\right)^{-4} ni kengaytirish.

$$\frac{\frac{1}{256}x^{-20}}{5^{-4}\left(y^{6}\right)^{-4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -4 ni ko‘paytirib, -24 ni oling.

$$\frac{\frac{1}{256}x^{-20}}{5^{-4}y^{-24}}$$

-4 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{625} ni qiymatni oling.

$$\frac{\frac{1}{256}x^{-20}}{\frac{1}{625}y^{-24}}$$