Evaluate 128^(5/7)

$128^{\frac{5}{7}}$

Step 1

Simplify the expression.

Rewrite $128$ as $2^{7}$ .

${(2^{7})}^{\frac{5}{7}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$2^{7 (\frac{5}{7})}$

Step 2

Cancel the common factor of $7$ .

Cancel the common factor.

$2^{7 (\frac{5}{7})}$

Rewrite the expression.

$2^{5}$

Step 3

Raise $2$ to the power of $5$ .

$32$