(b^-frac{1{5}}*a^4)^frac{5{2}} eching

$$( b ^ { - \frac { 1 } { 5 } } \cdot a ^ { 4 } ) ^ { \frac { 5 } { 2 } }$$

Baholash

$$\left(\frac{a^{4}}{\sqrt[5]{b}}\right)^{\frac{5}{2}}$$

Yechim qadamlari

\left(b^{-\frac{1}{5}}a^{4}\right)^{\frac{5}{2}} ni kengaytirish.

$$\left(b^{-\frac{1}{5}}\right)^{\frac{5}{2}}\left(a^{4}\right)^{\frac{5}{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -\frac{1}{5} va \frac{5}{2} ni ko‘paytirib, -\frac{1}{2} ni oling.

$$b^{-\frac{1}{2}}\left(a^{4}\right)^{\frac{5}{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va \frac{5}{2} ni ko‘paytirib, 10 ni oling.

$$b^{-\frac{1}{2}}a^{10}$$

b ga nisbatan hosilani topish

$$-\frac{\left(\frac{a^{\frac{20}{3}}}{b}\right)^{\frac{3}{2}}}{2}$$