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

$$\frac { ( 16 y ^ { 3 } x ^ { 2 } ) ^ { - 2 } } { 3 y x }$$

Baholash

$$\frac{1}{768x^{5}y^{7}}$$

Yechim qadamlari

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

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

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

$$\frac{16^{-2}y^{-6}\left(x^{2}\right)^{-2}}{3yx}$$

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

$$\frac{16^{-2}y^{-6}x^{-4}}{3yx}$$

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

$$\frac{\frac{1}{256}y^{-6}x^{-4}}{3yx}$$

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

$$\frac{\frac{1}{256}}{3x^{5}y^{7}}$$

\frac{\frac{1}{256}}{3x^{5}y^{7}} ni yagona kasrga aylantiring.

$$\frac{1}{256\times 3x^{5}y^{7}}$$

768 hosil qilish uchun 256 va 3 ni ko'paytirish.

$$\frac{1}{768x^{5}y^{7}}$$

Kengaytirish

$$\frac{1}{768x^{5}y^{7}}$$

Yechim qadamlari

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

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

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

$$\frac{16^{-2}y^{-6}\left(x^{2}\right)^{-2}}{3yx}$$

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

$$\frac{16^{-2}y^{-6}x^{-4}}{3yx}$$

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

$$\frac{\frac{1}{256}y^{-6}x^{-4}}{3yx}$$

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

$$\frac{\frac{1}{256}}{3x^{5}y^{7}}$$

\frac{\frac{1}{256}}{3x^{5}y^{7}} ni yagona kasrga aylantiring.

$$\frac{1}{256\times 3x^{5}y^{7}}$$

768 hosil qilish uchun 256 va 3 ni ko'paytirish.

$$\frac{1}{768x^{5}y^{7}}$$