Solve (-uv)^frac{1{5}}

$$( - u v ) ^ { \frac { 1 } { 5 } }$$

Evaluate

$$-\sqrt[5]{uv}$$

Solution Steps

Expand \left(\left(-u\right)v\right)^{\frac{1}{5}}.

$$\left(-u\right)^{\frac{1}{5}}v^{\frac{1}{5}}$$

Expand \left(-u\right)^{\frac{1}{5}}.

$$\left(-1\right)^{\frac{1}{5}}u^{\frac{1}{5}}v^{\frac{1}{5}}$$

Calculate -1 to the power of \frac{1}{5} and get -1.

$$-u^{\frac{1}{5}}v^{\frac{1}{5}}$$

Differentiate w.r.t. u

$$-\frac{\sqrt[5]{v}}{5u^{\frac{4}{5}}}$$