Evaluate (1/32)^(-1/5)

${(\frac{1}{32})}^{- \frac{1}{5}}$

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

$32^{\frac{1}{5}}$

Step 2

Simplify the expression.

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

${(2^{5})}^{\frac{1}{5}}$

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

$2^{5 (\frac{1}{5})}$

Step 3

Cancel the common factor of $5$ .

Cancel the common factor.

$2^{5 (\frac{1}{5})}$

Rewrite the expression.

$2^{1}$

Step 4

Evaluate the exponent.

$2$