AMC 10A 2007 Problem 9

Past Contests AMC 10 AMC 10A - 2007
, , ,
1

Real numbers a and b satisfy the equations 3^{a}=81^{b+2} and 125^{b}=5^{a-3}. What is a b ?

Answer Choices
A. -60
B. -17
C. 9
D. 12
E. 60