Solve (16p^frac{1{2}})(1/2q^frac{-2{5}})

$$( 16 p ^ { \frac { 1 } { 2 } } ) ( \frac { 1 } { 2 } q ^ { \frac { - 2 } { 5 } } )$$

Evaluate

$$\frac{8\sqrt{p}}{q^{\frac{2}{5}}}$$

Solution Steps

Multiply 16 and \frac{1}{2} to get 8.

$$8p^{\frac{1}{2}}q^{\frac{-2}{5}}$$

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$8p^{\frac{1}{2}}q^{-\frac{2}{5}}$$

Differentiate w.r.t. p

$$\frac{4}{q^{\frac{2}{5}}\sqrt{p}}$$