Simplify (2^-3)/(3^-2)

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

Move $2^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Move $3^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{3^{2}}{2^{3}}$

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

$\frac{9}{2^{3}}$

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

$\frac{9}{8}$

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{8}$

Decimal Form:

$1.125$

Mixed Number Form:

$1 \frac{1}{8}$