If (23)2 = 4p, then 3p =
A. 3
B. 6
C. 9
D. 27
E. 81
If (23)2 = 4p, you can find p by expressing each side of the equation as a power of the same base and then setting the exponents of the two bases equal:
(23)2 = 4p
26 = 22p
6 = 2p
3 = p
Therefore 3p = 33 = x X 3 X 3 = 27.