Solve (8^frac{4{9}})^-frac{3{2}}

$$( 8 ^ { \frac { 4 } { 9 } } ) ^ { - \frac { 3 } { 2 } }$$

Evaluate

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

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(8^{\frac{4}{9}}\right)^{-\frac{3}{2}}$$

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

$$8^{\frac{4}{9}\left(-\frac{3}{2}\right)}$$

Multiply \frac{4}{9} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$8^{-\frac{2}{3}}$$

Raise 8 to the power -\frac{2}{3}.

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

Factor

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