Solve frac{27^frac{4{3}}}{27^frac{2{3}}}

$$\frac { 27 ^ { \frac { 4 } { 3 } } } { 27 ^ { \frac { 2 } { 3 } } }$$

Evaluate

$$9$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract \frac{2}{3} from \frac{4}{3} to get \frac{2}{3}.

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

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

$$9$$

Factor

$$3^{2}$$