If a and b are positive integers and (3^a)^b = 3^3, what is the value of 3^a*3^b?  Choose the correct choice from the following choices.
A) 3 B) 9 C) 81 D) 27 E) 243

Rationale: 3 ^ ab = 3 ^ 3 therefore ab = 3 either a = 1 or 3 or b = 3 or 1 therefore 3 ^ a * 3 ^ b = 3 ^ ( a + b ) = 3 ^ 4 = 81 c
Answer: C