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

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

Step 1

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

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

Step 2

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

${(- {(- 3)}^{3})}^{2}$

Step 3

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

${(- - 27)}^{2}$

Step 4

Multiply $- 1$ by $- 27$ .

$27^{2}$

Step 5

Raise $27$ to the power of $2$ .

$729$