frac{(8x^{5}y^{7})^-2}{4^2x^-8y^5} eching

$$\frac { ( 8 x ^ { 5 } y ^ { 7 } ) ^ { - 2 } } { 4 ^ { 2 } x ^ { - 8 } y ^ { 5 } }$$

Baholash

$$\frac{1}{1024x^{2}y^{19}}$$

Yechim qadamlari

\left(8x^{5}y^{7}\right)^{-2} ni kengaytirish.

$$\frac{8^{-2}\left(x^{5}\right)^{-2}\left(y^{7}\right)^{-2}}{4^{2}x^{-8}y^{5}}$$

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

$$\frac{8^{-2}x^{-10}\left(y^{7}\right)^{-2}}{4^{2}x^{-8}y^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 7 va -2 ni ko‘paytirib, -14 ni oling.

$$\frac{8^{-2}x^{-10}y^{-14}}{4^{2}x^{-8}y^{5}}$$

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

$$\frac{\frac{1}{64}x^{-10}y^{-14}}{4^{2}x^{-8}y^{5}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{\frac{1}{64}x^{-10}y^{-14}}{16x^{-8}y^{5}}$$

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

$$\frac{\frac{1}{64}}{16x^{2}y^{19}}$$

\frac{\frac{1}{64}}{16x^{2}y^{19}} ni yagona kasrga aylantiring.

$$\frac{1}{64\times 16x^{2}y^{19}}$$

1024 hosil qilish uchun 64 va 16 ni ko'paytirish.

$$\frac{1}{1024x^{2}y^{19}}$$

Kengaytirish

$$\frac{1}{1024x^{2}y^{19}}$$

Yechim qadamlari

\left(8x^{5}y^{7}\right)^{-2} ni kengaytirish.

$$\frac{8^{-2}\left(x^{5}\right)^{-2}\left(y^{7}\right)^{-2}}{4^{2}x^{-8}y^{5}}$$

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

$$\frac{8^{-2}x^{-10}\left(y^{7}\right)^{-2}}{4^{2}x^{-8}y^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 7 va -2 ni ko‘paytirib, -14 ni oling.

$$\frac{8^{-2}x^{-10}y^{-14}}{4^{2}x^{-8}y^{5}}$$

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

$$\frac{\frac{1}{64}x^{-10}y^{-14}}{4^{2}x^{-8}y^{5}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{\frac{1}{64}x^{-10}y^{-14}}{16x^{-8}y^{5}}$$

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

$$\frac{\frac{1}{64}}{16x^{2}y^{19}}$$

\frac{\frac{1}{64}}{16x^{2}y^{19}} ni yagona kasrga aylantiring.

$$\frac{1}{64\times 16x^{2}y^{19}}$$

1024 hosil qilish uchun 64 va 16 ni ko'paytirish.

$$\frac{1}{1024x^{2}y^{19}}$$