(5x^2y^3)^-1z/xy^2 eching

$$\frac { ( 5 x ^ { 2 } y ^ { 3 } ) ^ { - 1 } z } { x y ^ { 2 } }$$

Baholash

$$\frac{z}{5x^{3}y^{5}}$$

Yechim qadamlari

\left(5x^{2}y^{3}\right)^{-1} ni kengaytirish.

$$\frac{5^{-1}\left(x^{2}\right)^{-1}\left(y^{3}\right)^{-1}z}{xy^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -1 ni ko‘paytirib, -2 ni oling.

$$\frac{5^{-1}x^{-2}\left(y^{3}\right)^{-1}z}{xy^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va -1 ni ko‘paytirib, -3 ni oling.

$$\frac{5^{-1}x^{-2}y^{-3}z}{xy^{2}}$$

-1 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{5} ni qiymatni oling.

$$\frac{\frac{1}{5}x^{-2}y^{-3}z}{xy^{2}}$$

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

$$\frac{\frac{1}{5}z}{x^{3}y^{5}}$$

x ga nisbatan hosilani topish

$$-\frac{3z}{5x^{4}y^{5}}$$