Solve quad[(216)^frac{2{3}}]^frac{1{2}}

$$\quad [ ( 216 ) ^ { \frac { 2 } { 3 } } ] ^ { \frac { 1 } { 2 } }$$

Evaluate

$$6$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\sqrt{216^{\frac{2}{3}}}$$

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

$$216^{\frac{2}{3}\times \frac{1}{2}}$$

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

$$\sqrt[3]{216}$$

Raise 216 to the power \frac{1}{3}.

$$6$$

Factor

$$2\times 3$$