Evaluate 32^(7/5)

$32^{\frac{7}{5}}$

Step 1

Simplify the expression.

Rewrite $32$ as $2^{5}$ .

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

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

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

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$2^{7}$

Step 3

Raise $2$ to the power of $7$ .

$128$