Solve (32^frac{3{5}})^-frac{2{3}}

$$( 32 ^ { \frac { 3 } { 5 } } ) ^ { - \frac { 2 } { 3 } }$$

Evaluate

$$\frac{1}{4}=0.25$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(32^{\frac{3}{5}}\right)^{-\frac{2}{3}}$$

To raise a power to another power, multiply the exponents.

$$32^{\frac{3}{5}\left(-\frac{2}{3}\right)}$$

Multiply \frac{3}{5} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$32^{-\frac{2}{5}}$$

Raise 32 to the power -\frac{2}{5}.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$