Simplify (((-1)^3)/((-3)^-1))^2

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

Step 1

Move ${(- 3)}^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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

Step 2

Raise $- 1$ to the power of $3$ .

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

Step 3

Multiply $- 1$ by $- 3$ .

$3^{2}$

Step 4

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

$9$