Evaluate (3^-2a^0)/(b^-2)

$\frac{3^{- 2} a^{0}}{b^{- 2}}$

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

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

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

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

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

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