(x^2y^6)^frac{1{6}} eching

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

Baholash

$$\sqrt[3]{|x|}|y|$$

Yechim qadamlari

\left(x^{2}y^{6}\right)^{\frac{1}{6}} ni kengaytirish.

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

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

$$x^{\frac{1}{3}}\left(y^{6}\right)^{\frac{1}{6}}$$

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

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

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

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

x ga nisbatan hosilani topish

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