frac{(5x^{3}y^-2)^-2}{25x^3y^4} eching

$$\frac { ( 5 x ^ { 3 } y ^ { - 2 } ) ^ { - 2 } } { 25 x ^ { 3 } y ^ { 4 } }$$

Baholash

$$\frac{1}{625x^{9}}$$

Yechim qadamlari

\left(5x^{3}y^{-2}\right)^{-2} ni kengaytirish.

$$\frac{5^{-2}\left(x^{3}\right)^{-2}\left(y^{-2}\right)^{-2}}{25x^{3}y^{4}}$$

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

$$\frac{5^{-2}x^{-6}\left(y^{-2}\right)^{-2}}{25x^{3}y^{4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va -2 ni ko‘paytirib, 4 ni oling.

$$\frac{5^{-2}x^{-6}y^{4}}{25x^{3}y^{4}}$$

-2 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{25} ni qiymatni oling.

$$\frac{\frac{1}{25}x^{-6}y^{4}}{25x^{3}y^{4}}$$

Surat va maxrajdagi ikkala y^{4} ni qisqartiring.

$$\frac{\frac{1}{25}x^{-6}}{25x^{3}}$$

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

$$\frac{\frac{1}{25}}{25x^{9}}$$

\frac{\frac{1}{25}}{25x^{9}} ni yagona kasrga aylantiring.

$$\frac{1}{25\times 25x^{9}}$$

625 hosil qilish uchun 25 va 25 ni ko'paytirish.

$$\frac{1}{625x^{9}}$$

Kengaytirish

$$\frac{1}{625x^{9}}$$

Yechim qadamlari

\left(5x^{3}y^{-2}\right)^{-2} ni kengaytirish.

$$\frac{5^{-2}\left(x^{3}\right)^{-2}\left(y^{-2}\right)^{-2}}{25x^{3}y^{4}}$$

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

$$\frac{5^{-2}x^{-6}\left(y^{-2}\right)^{-2}}{25x^{3}y^{4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va -2 ni ko‘paytirib, 4 ni oling.

$$\frac{5^{-2}x^{-6}y^{4}}{25x^{3}y^{4}}$$

-2 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{25} ni qiymatni oling.

$$\frac{\frac{1}{25}x^{-6}y^{4}}{25x^{3}y^{4}}$$

Surat va maxrajdagi ikkala y^{4} ni qisqartiring.

$$\frac{\frac{1}{25}x^{-6}}{25x^{3}}$$

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

$$\frac{\frac{1}{25}}{25x^{9}}$$

\frac{\frac{1}{25}}{25x^{9}} ni yagona kasrga aylantiring.

$$\frac{1}{25\times 25x^{9}}$$

625 hosil qilish uchun 25 va 25 ni ko'paytirish.

$$\frac{1}{625x^{9}}$$