Solve (27^frac{1{2}})^frac{2{3}}

$$( 27 ^ { \frac { 1 } { 2 } } ) ^ { \frac { 2 } { 3 } }$$

Evaluate

$$3$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(\sqrt{27}\right)^{\frac{2}{3}}$$

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

$$27^{\frac{1}{2}\times \frac{2}{3}}$$

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

$$\sqrt[3]{27}$$

Raise 27 to the power \frac{1}{3}.

$$3$$

Factor

$$3$$