Evaluate 128^(2/7)

$128^{\frac{2}{7}}$

Step 1

Simplify the expression.

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

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

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

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

Step 2

Cancel the common factor of $7$ .

Cancel the common factor.

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

Rewrite the expression.

$2^{2}$

Step 3

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

$4$