(9x^3y^2)^-2/18xy^-3 eching

$$\frac { ( 9 x ^ { 3 } y ^ { 2 } ) ^ { - 2 } } { 18 x y ^ { - 3 } }$$

Baholash

$$\frac{1}{1458yx^{7}}$$

Yechim qadamlari

\left(9x^{3}y^{2}\right)^{-2} ni kengaytirish.

$$\frac{9^{-2}\left(x^{3}\right)^{-2}\left(y^{2}\right)^{-2}}{18xy^{-3}}$$

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

$$\frac{9^{-2}x^{-6}\left(y^{2}\right)^{-2}}{18xy^{-3}}$$

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

$$\frac{9^{-2}x^{-6}y^{-4}}{18xy^{-3}}$$

-2 daraja ko‘rsatkichini 9 ga hisoblang va \frac{1}{81} ni qiymatni oling.

$$\frac{\frac{1}{81}x^{-6}y^{-4}}{18xy^{-3}}$$

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

$$\frac{\frac{1}{81}}{18y^{1}x^{7}}$$

1 daraja ko‘rsatkichini y ga hisoblang va y ni qiymatni oling.

$$\frac{\frac{1}{81}}{18yx^{7}}$$

\frac{\frac{1}{81}}{18yx^{7}} ni yagona kasrga aylantiring.

$$\frac{1}{81\times 18yx^{7}}$$

1458 hosil qilish uchun 81 va 18 ni ko'paytirish.

$$\frac{1}{1458yx^{7}}$$

Kengaytirish

$$\frac{1}{1458yx^{7}}$$

Yechim qadamlari

\left(9x^{3}y^{2}\right)^{-2} ni kengaytirish.

$$\frac{9^{-2}\left(x^{3}\right)^{-2}\left(y^{2}\right)^{-2}}{18xy^{-3}}$$

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

$$\frac{9^{-2}x^{-6}\left(y^{2}\right)^{-2}}{18xy^{-3}}$$

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

$$\frac{9^{-2}x^{-6}y^{-4}}{18xy^{-3}}$$

-2 daraja ko‘rsatkichini 9 ga hisoblang va \frac{1}{81} ni qiymatni oling.

$$\frac{\frac{1}{81}x^{-6}y^{-4}}{18xy^{-3}}$$

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

$$\frac{\frac{1}{81}}{18y^{1}x^{7}}$$

1 daraja ko‘rsatkichini y ga hisoblang va y ni qiymatni oling.

$$\frac{\frac{1}{81}}{18yx^{7}}$$

\frac{\frac{1}{81}}{18yx^{7}} ni yagona kasrga aylantiring.

$$\frac{1}{81\times 18yx^{7}}$$

1458 hosil qilish uchun 81 va 18 ni ko'paytirish.

$$\frac{1}{1458yx^{7}}$$