the answer
first, the main properties are:
a^ -p = 1 /a^p
1 ^ b = 1, for all value of b
for solving the problem, we only apply the properties, that is
(1/12)^2b x 12^-2b+2= (1/12)^2b/12^2b + 2= [(1/12)^2/12^2]^b + 2 = 12
[1]^b + 2 = 12, finally 1 + 2 = 12, impossible
so the answer is no solution