frac{(2x^{3}y^-4)^-2}{10x^-3y^4} eching

$$\frac { ( 2 x ^ { 3 } y ^ { - 4 } ) ^ { - 2 } } { 10 x ^ { - 3 } y ^ { 4 } }$$

Baholash

$$\frac{y^{4}}{40x^{3}}$$

Yechim qadamlari

\left(2x^{3}y^{-4}\right)^{-2} ni kengaytirish.

$$\frac{2^{-2}\left(x^{3}\right)^{-2}\left(y^{-4}\right)^{-2}}{10x^{-3}y^{4}}$$

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

$$\frac{2^{-2}x^{-6}\left(y^{-4}\right)^{-2}}{10x^{-3}y^{4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -4 va -2 ni ko‘paytirib, 8 ni oling.

$$\frac{2^{-2}x^{-6}y^{8}}{10x^{-3}y^{4}}$$

-2 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{\frac{1}{4}x^{-6}y^{8}}{10x^{-3}y^{4}}$$

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

$$\frac{\frac{1}{4}x^{-6}y^{4}}{10x^{-3}}$$

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

$$\frac{\frac{1}{4}y^{4}}{10x^{3}}$$

Kengaytirish

$$\frac{y^{4}}{40x^{3}}$$

Yechim qadamlari

\left(2x^{3}y^{-4}\right)^{-2} ni kengaytirish.

$$\frac{2^{-2}\left(x^{3}\right)^{-2}\left(y^{-4}\right)^{-2}}{10x^{-3}y^{4}}$$

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

$$\frac{2^{-2}x^{-6}\left(y^{-4}\right)^{-2}}{10x^{-3}y^{4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -4 va -2 ni ko‘paytirib, 8 ni oling.

$$\frac{2^{-2}x^{-6}y^{8}}{10x^{-3}y^{4}}$$

-2 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{\frac{1}{4}x^{-6}y^{8}}{10x^{-3}y^{4}}$$

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

$$\frac{\frac{1}{4}x^{-6}y^{4}}{10x^{-3}}$$

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

$$\frac{\frac{1}{4}y^{4}}{10x^{3}}$$