Solve (64VW)^-frac{2{3}}

$$( 64 VW ) ^ { - \frac { 2 } { 3 } }$$

Evaluate

$$\frac{1}{16\left(VW\right)^{\frac{2}{3}}}$$

Solution Steps

Expand \left(64VW\right)^{-\frac{2}{3}}.

$$64^{-\frac{2}{3}}V^{-\frac{2}{3}}W^{-\frac{2}{3}}$$

Calculate 64 to the power of -\frac{2}{3} and get \frac{1}{16}.

$$\frac{1}{16}V^{-\frac{2}{3}}W^{-\frac{2}{3}}$$

Differentiate w.r.t. V

$$-\frac{1}{24W^{\frac{2}{3}}V^{\frac{5}{3}}}$$