Simplify (4^-1(-3)^-2)/(6^-2)

$\frac{4^{- 1} {(- 3)}^{- 2}}{6^{- 2}}$

Move $4^{- 1}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{{(- 3)}^{- 2}}{6^{- 2} \cdot 4}$

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

$\frac{1}{6^{- 2} \cdot 4 {(- 3)}^{2}}$

Move $6^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{6^{2}}{4 {(- 3)}^{2}}$

Raise $6$ to the power of $2$ .

$\frac{36}{4 {(- 3)}^{2}}$

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

$\frac{36}{4 \cdot 9}$

Multiply $4$ by $9$ .

$\frac{36}{36}$

Divide $36$ by $36$ .

$1$