Algebra Examples

$2^{- 3} \cdot 3^{- 2}$

Step 1

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

$\frac{1}{2^{3}} \cdot 3^{- 2}$

Step 2

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

$\frac{1}{8} \cdot 3^{- 2}$

Step 3

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

$\frac{1}{8} \cdot \frac{1}{3^{2}}$

Step 4

Combine.

$\frac{1 \cdot 1}{8 \cdot 3^{2}}$

Step 5

Simplify the expression.

Tap for more steps...

Step 5.1

Multiply $1$ by $1$ .

$\frac{1}{8 \cdot 3^{2}}$

Step 5.2

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

$\frac{1}{8 \cdot 9}$

Step 5.3

Multiply $8$ by $9$ .

$\frac{1}{72}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{72}$

Decimal Form:

$0.013\overline{8}$