Evaluate (1/8)^(-2/3)

${(\frac{1}{8})}^{- \frac{2}{3}}$

Step 1

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

$8^{\frac{2}{3}}$

Step 2

Simplify the expression.

Rewrite $8$ as $2^{3}$ .

${(2^{3})}^{\frac{2}{3}}$

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

$2^{3 (\frac{2}{3})}$

Step 3

Cancel the common factor of $3$ .

Cancel the common factor.

$2^{3 (\frac{2}{3})}$

Rewrite the expression.

$2^{2}$

Step 4

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

$4$