Simplify (3^-2)/(3^-3*3^0)

$\frac{3^{- 2}}{3^{- 3} \cdot 3^{0}}$

Multiply $3^{- 3}$ by $3^{0}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{3^{- 2}}{3^{- 3 + 0}}$

Add $- 3$ and $0$ .

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

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

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

Multiply $3^{- 2}$ by $3^{3}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3^{- 2 + 3}$

Add $- 2$ and $3$ .

$3^{1}$

Simplify $3^{1}$ .

$3$