{left({x}^frac{1{2}}{y}^-frac{2{3}}right)}^-frac{6{4}} eching

$${ \left( { x }^{ \frac{ 1 }{ 2 } } { y }^{ - \frac{ 2 }{ 3 } } \right) }^{ - \frac{ 6 }{ 4 } }$$

Baholash

$$\frac{|y|}{x^{\frac{3}{4}}}$$

Yechim qadamlari

\frac{6}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

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

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{1}{2} va -\frac{3}{2} ni ko‘paytirib, -\frac{3}{4} ni oling.

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

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

$$x^{-\frac{3}{4}}y^{1}$$

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

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

x ga nisbatan hosilani topish

$$-\frac{3|y|}{4x^{\frac{7}{4}}}$$