Evaluate (-3)^-3

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

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 2

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

$\frac{1}{- 27}$

Step 3

Move the negative in front of the fraction.

$- \frac{1}{27}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{27}$

Decimal Form:

$- 0.\overline{037}$