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

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

Baholash

$$\frac{x^{4}}{16y^{5}}$$

Yechim qadamlari

\left(2x^{-4}y^{5}\right)^{-2} ni kengaytirish.

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

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

$$\frac{2^{-2}x^{8}\left(y^{5}\right)^{-2}}{4x^{4}y^{-5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -2 ni ko‘paytirib, -10 ni oling.

$$\frac{2^{-2}x^{8}y^{-10}}{4x^{4}y^{-5}}$$

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

$$\frac{\frac{1}{4}x^{8}y^{-10}}{4x^{4}y^{-5}}$$

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

$$\frac{\frac{1}{4}y^{-10}x^{4}}{4y^{-5}}$$

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

$$\frac{\frac{1}{4}x^{4}}{4y^{5}}$$

Kengaytirish

$$\frac{x^{4}}{16y^{5}}$$

Yechim qadamlari

\left(2x^{-4}y^{5}\right)^{-2} ni kengaytirish.

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

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

$$\frac{2^{-2}x^{8}\left(y^{5}\right)^{-2}}{4x^{4}y^{-5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -2 ni ko‘paytirib, -10 ni oling.

$$\frac{2^{-2}x^{8}y^{-10}}{4x^{4}y^{-5}}$$

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

$$\frac{\frac{1}{4}x^{8}y^{-10}}{4x^{4}y^{-5}}$$

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

$$\frac{\frac{1}{4}y^{-10}x^{4}}{4y^{-5}}$$

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

$$\frac{\frac{1}{4}x^{4}}{4y^{5}}$$