If a and b are positive integers and (5^a)^b = 5^2, what is the value of 2^a*2^b?  Choose one
A) 3125 B) 625 C) 5 D) 25 E) 125
5^ab =5^2 therefore ab=2 either a=1 or 2 or b=2 or 1   therefore 5^a* 5^b = 5^(a+b)= 5^3 =125   125
<result>E</result>
If a and b are positive integers and (5^a)^b = 5^2, what is the value of 2^a*2^b?