(x^-6/9y^-4)^-frac{1{2}} eching

$$( \frac { x ^ { - 6 } } { 9 y ^ { - 4 } } ) ^ { - \frac { 1 } { 2 } }$$

Baholash

$$\frac{3\left(|x|\right)^{3}}{y^{2}}$$

Yechim qadamlari

\frac{x^{-6}}{9y^{-4}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(x^{-6}\right)^{-\frac{1}{2}}}{\left(9y^{-4}\right)^{-\frac{1}{2}}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -6 va -\frac{1}{2} ni ko‘paytirib, 3 ni oling.

$$\frac{x^{3}}{\left(9y^{-4}\right)^{-\frac{1}{2}}}$$

\left(9y^{-4}\right)^{-\frac{1}{2}} ni kengaytirish.

$$\frac{x^{3}}{9^{-\frac{1}{2}}\left(y^{-4}\right)^{-\frac{1}{2}}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -4 va -\frac{1}{2} ni ko‘paytirib, 2 ni oling.

$$\frac{x^{3}}{9^{-\frac{1}{2}}y^{2}}$$

-\frac{1}{2} daraja ko‘rsatkichini 9 ga hisoblang va \frac{1}{3} ni qiymatni oling.

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

x ga nisbatan hosilani topish

$$\frac{9x|x|}{y^{2}}$$