Solve (16^frac{2{3}})^-frac{3{4}}

$$( 16 ^ { \frac { 2 } { 3 } } ) ^ { - \frac { 3 } { 4 } }$$

Evaluate

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

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(16^{\frac{2}{3}}\right)^{-\frac{3}{4}}$$

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

$$16^{\frac{2}{3}\left(-\frac{3}{4}\right)}$$

Multiply \frac{2}{3} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$16^{-\frac{1}{2}}$$

Raise 16 to the power -\frac{1}{2}.

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

Factor

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