Simplify (2/4)^-3

${(\frac{2}{4})}^{- 3}$

Step 1

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

${(\frac{2 (1)}{4})}^{- 3}$

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

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

$2^{3}$

Step 3

Raise $2$ to the power of $3$ .

$8$