(x^frac{1{2}}y^-frac{2{4}})^-2^3= eching

$$( x ^ { \frac { 1 } { 2 } } y ^ { - \frac { 2 } { 4 } } ) ^ { - 2 ^ { 3 } } =$$

Baholash

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

Yechim qadamlari

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

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

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\left(x^{\frac{1}{2}}y^{-\frac{1}{2}}\right)^{-8}$$

\left(x^{\frac{1}{2}}y^{-\frac{1}{2}}\right)^{-8} ni kengaytirish.

$$\left(x^{\frac{1}{2}}\right)^{-8}\left(y^{-\frac{1}{2}}\right)^{-8}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{1}{2} va -8 ni ko‘paytirib, -4 ni oling.

$$x^{-4}\left(y^{-\frac{1}{2}}\right)^{-8}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -\frac{1}{2} va -8 ni ko‘paytirib, 4 ni oling.

$$x^{-4}y^{4}$$

x ga nisbatan hosilani topish

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