Find the Exact Value 2^-3*3^-2

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

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

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

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

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

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

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

Combine.

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

Simplify the expression.

Multiply $1$ by $1$ .

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

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

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

Multiply $8$ by $9$ .

$\frac{1}{72}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{72}$

Decimal Form:

$0.013\overline{8}$