(m^-frac{1{4}}*n^-frac{5{6}})^-frac{12{5}} eching

$$( m ^ { - \frac { 1 } { 4 } } \cdot n ^ { - \frac { 5 } { 6 } } ) ^ { - \frac { 12 } { 5 } }$$

Baholash

$$m^{\frac{3}{5}}n^{2}$$

Yechim qadamlari

\left(m^{-\frac{1}{4}}n^{-\frac{5}{6}}\right)^{-\frac{12}{5}} ni kengaytirish.

$$\left(m^{-\frac{1}{4}}\right)^{-\frac{12}{5}}\left(n^{-\frac{5}{6}}\right)^{-\frac{12}{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -\frac{1}{4} va -\frac{12}{5} ni ko‘paytirib, \frac{3}{5} ni oling.

$$m^{\frac{3}{5}}\left(n^{-\frac{5}{6}}\right)^{-\frac{12}{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -\frac{5}{6} va -\frac{12}{5} ni ko‘paytirib, 2 ni oling.

$$m^{\frac{3}{5}}n^{2}$$

m ga nisbatan hosilani topish

$$\frac{3n^{2}}{5m^{\frac{2}{5}}}$$