AMC8 2010 Problem 24

What is the correct ordering of the three numbers 10^{8}, 5^{12}, and 2^{24} ?

Answer Choices
A. 2^{24}<10^{8}<5^{12}
B. 2^{24}<5^{12}<10^{8}
C. 5^{12}<2^{24}<10^{8}
D. 10^{8}<5^{12}<2^{24}
E. 10^{8}<2^{24}<5^{12}