{left(x^2y^-1right)}^-frac{1{2}} eching

$${ \left( { x }^{ 2 } { y }^{ -1 } \right) }^{ - \frac{ 1 }{ 2 } }$$

Baholash

$$\frac{\sqrt{y}}{|x|}$$

Yechim qadamlari

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

$$\left(x^{2}\right)^{-\frac{1}{2}}\left(y^{-1}\right)^{-\frac{1}{2}}$$

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

$$x^{-1}\left(y^{-1}\right)^{-\frac{1}{2}}$$

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

$$x^{-1}y^{\frac{1}{2}}$$

x ga nisbatan hosilani topish

$$-\frac{\sqrt{y}|x|}{x^{3}}$$