Solve frac{64^frac{7{10}}}{64^frac{1{5}}}=

$$\frac { 64 ^ { \frac { 7 } { 10 } } } { 64 ^ { \frac { 1 } { 5 } } } =$$

Evaluate

$$8$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract \frac{1}{5} from \frac{7}{10} to get \frac{1}{2}.

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

Calculate 64 to the power of \frac{1}{2} and get 8.

$$8$$

Factor

$$2^{3}$$