left(16y^3x^2right)^-2/8yx eching

$$\frac{ { \left(16 { y }^{ 3 } { x }^{ 2 } \right) }^{ -2 } }{ 8yx }$$

Baholash

$$\frac{1}{2048x^{5}y^{7}}$$

Yechim qadamlari

\left(16y^{3}x^{2}\right)^{-2} ni kengaytirish.

$$\frac{16^{-2}\left(y^{3}\right)^{-2}\left(x^{2}\right)^{-2}}{8yx}$$

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

$$\frac{16^{-2}y^{-6}\left(x^{2}\right)^{-2}}{8yx}$$

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

$$\frac{16^{-2}y^{-6}x^{-4}}{8yx}$$

-2 daraja ko‘rsatkichini 16 ga hisoblang va \frac{1}{256} ni qiymatni oling.

$$\frac{\frac{1}{256}y^{-6}x^{-4}}{8yx}$$

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

$$\frac{\frac{1}{256}}{8x^{5}y^{7}}$$

\frac{\frac{1}{256}}{8x^{5}y^{7}} ni yagona kasrga aylantiring.

$$\frac{1}{256\times 8x^{5}y^{7}}$$

2048 hosil qilish uchun 256 va 8 ni ko'paytirish.

$$\frac{1}{2048x^{5}y^{7}}$$

Kengaytirish

$$\frac{1}{2048x^{5}y^{7}}$$

Yechim qadamlari

\left(16y^{3}x^{2}\right)^{-2} ni kengaytirish.

$$\frac{16^{-2}\left(y^{3}\right)^{-2}\left(x^{2}\right)^{-2}}{8yx}$$

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

$$\frac{16^{-2}y^{-6}\left(x^{2}\right)^{-2}}{8yx}$$

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

$$\frac{16^{-2}y^{-6}x^{-4}}{8yx}$$

-2 daraja ko‘rsatkichini 16 ga hisoblang va \frac{1}{256} ni qiymatni oling.

$$\frac{\frac{1}{256}y^{-6}x^{-4}}{8yx}$$

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

$$\frac{\frac{1}{256}}{8x^{5}y^{7}}$$

\frac{\frac{1}{256}}{8x^{5}y^{7}} ni yagona kasrga aylantiring.

$$\frac{1}{256\times 8x^{5}y^{7}}$$

2048 hosil qilish uchun 256 va 8 ni ko'paytirish.

$$\frac{1}{2048x^{5}y^{7}}$$