Algebra Examples

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

Step 1

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

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

Step 2

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

$- 27 \cdot {(3)}^{- 3}$

Step 3

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

$- 27 \cdot \frac{1}{3^{3}}$

Step 4

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

$- 27 \cdot \frac{1}{27}$

Step 5

Cancel the common factor of $27$ .

Tap for more steps...

Step 5.1

Factor $27$ out of $- 27$ .

$27 (- 1) \cdot \frac{1}{27}$

Step 5.2

Cancel the common factor.

$27 \cdot - 1 \cdot \frac{1}{27}$

Step 5.3

Rewrite the expression.

$- 1$