MathDB
2010 AMC 8 #24

Source:

May 22, 2011

Problem Statement

What is the correct ordering of the three numbers, 10810^8, 5125{}^1{}^2, and 2242{}^2{}^4?
<spanclass=latexbold>(A)</span> 224<108<512 <span class='latex-bold'>(A)</span>\ 2{}^2{}^4<10^8<5{}^1{}^2 <spanclass=latexbold>(B)</span> 224<512<108 <span class='latex-bold'>(B)</span>\ 2{}^2{}^4<5{}^1{}^2<10^8 <spanclass=latexbold>(C)</span> 512<224<108 <span class='latex-bold'>(C)</span>\ 5{}^1{}^2<2{}^2{}^4<10^8 <spanclass=latexbold>(D)</span> 108<512<224 <span class='latex-bold'>(D)</span>\ 10^8<5{}^1{}^2<2{}^2{}^4 <spanclass=latexbold>(E)</span> 108<224<512 <span class='latex-bold'>(E)</span>\ 10^8<2{}^2{}^4<5{}^1{}^2