Evaluate:

9a^2 b^-2
_________
(3a^-2 b)^-1

just follow the rules of exponents to get

9a^2 b^-2
_________
(3a^-2b)^-1

= (9a^2 b^-2)(3a^-2b)
= 27 a^0 b^-1
= 27/b