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

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

Ovrednoti

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

Koraki rešitve

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

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

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite -\frac{1}{4} in -\frac{12}{5}, da dobite \frac{3}{5}.

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

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite -\frac{5}{6} in -\frac{12}{5}, da dobite 2.

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

Odvajajte w.r.t. m

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