(4x^3y^3)^-2/2xy^-3 eching

$$\frac { ( 4 x ^ { 3 } y ^ { 3 } ) ^ { - 2 } } { 2 x y ^ { - 3 } }$$

Baholash

$$\frac{1}{32y^{3}x^{7}}$$

Yechim qadamlari

\left(4x^{3}y^{3}\right)^{-2} ni kengaytirish.

$$\frac{4^{-2}\left(x^{3}\right)^{-2}\left(y^{3}\right)^{-2}}{2xy^{-3}}$$

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

$$\frac{4^{-2}x^{-6}\left(y^{3}\right)^{-2}}{2xy^{-3}}$$

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

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

-2 daraja ko‘rsatkichini 4 ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\frac{\frac{1}{16}x^{-6}y^{-6}}{2xy^{-3}}$$

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

$$\frac{\frac{1}{16}}{2y^{3}x^{7}}$$

\frac{\frac{1}{16}}{2y^{3}x^{7}} ni yagona kasrga aylantiring.

$$\frac{1}{16\times 2y^{3}x^{7}}$$

32 hosil qilish uchun 16 va 2 ni ko'paytirish.

$$\frac{1}{32y^{3}x^{7}}$$

Kengaytirish

$$\frac{1}{32y^{3}x^{7}}$$

Yechim qadamlari

\left(4x^{3}y^{3}\right)^{-2} ni kengaytirish.

$$\frac{4^{-2}\left(x^{3}\right)^{-2}\left(y^{3}\right)^{-2}}{2xy^{-3}}$$

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

$$\frac{4^{-2}x^{-6}\left(y^{3}\right)^{-2}}{2xy^{-3}}$$

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

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

-2 daraja ko‘rsatkichini 4 ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\frac{\frac{1}{16}x^{-6}y^{-6}}{2xy^{-3}}$$

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

$$\frac{\frac{1}{16}}{2y^{3}x^{7}}$$

\frac{\frac{1}{16}}{2y^{3}x^{7}} ni yagona kasrga aylantiring.

$$\frac{1}{16\times 2y^{3}x^{7}}$$

32 hosil qilish uchun 16 va 2 ni ko'paytirish.

$$\frac{1}{32y^{3}x^{7}}$$