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

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

Evaluate

$$3$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract \frac{1}{3} from 1 to get \frac{2}{3}.

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

Calculate 27 to the power of \frac{2}{3} and get 9.

$$9^{\frac{1}{2}}$$

Calculate 9 to the power of \frac{1}{2} and get 3.

$$3$$

Factor

$$3$$