Solve (-yz)^frac{2{3}}

$$( - y z ) ^ { \frac { 2 } { 3 } }$$

Evaluate

$$\left(yz\right)^{\frac{2}{3}}$$

Solution Steps

Expand \left(\left(-y\right)z\right)^{\frac{2}{3}}.

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

Expand \left(-y\right)^{\frac{2}{3}}.

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

Calculate -1 to the power of \frac{2}{3} and get 1.

$$1y^{\frac{2}{3}}z^{\frac{2}{3}}$$

For any term t, t\times 1=t and 1t=t.

$$y^{\frac{2}{3}}z^{\frac{2}{3}}$$

Differentiate w.r.t. y

$$\frac{2z^{\frac{2}{3}}}{3\sqrt[3]{y}}$$