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

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