Simplify 1/(-3^-3)

$\frac{1}{- 3^{- 3}}$

Step 1

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

$\frac{3^{3}}{- 1}$

Step 2

Move the negative one from the denominator of $\frac{3^{3}}{- 1}$ .

$- 1 \cdot 3^{3}$

Step 3

Rewrite $- 1 \cdot 3^{3}$ as $- 3^{3}$ .

$- 3^{3}$

Step 4

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

$- 1 \cdot 27$

Step 5

Multiply $- 1$ by $27$ .

$- 27$