Solve (64^frac{3{2}})^frac{1{2}}

$$( 64 ^ { \frac { 3 } { 2 } } ) ^ { \frac { 1 } { 2 } }$$

Evaluate

$$16\sqrt{2}\approx 22.627416998$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\sqrt{64^{\frac{3}{2}}}$$

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

$$64^{\frac{3}{2}\times \frac{1}{2}}$$

Multiply \frac{3}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$64^{\frac{3}{4}}$$

Raise 64 to the power \frac{3}{4}.

$$16\sqrt{2}$$