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2010 AMC 8 Question 24

AMC8 · 2010 AMC 8

Question 24

What is the correct ordering of the three numbers, $10^8,$ $5^{12},$ and $2^{24}?$
  1. $2^{24} < 10^8 < 5^{12}$
  2. $ 2^{24} < 5^{12} < 10^8 $
  3. $ 5^{12} < 2^{24} < 10^8 $
  4. $ 10^8 < 5^{12} < 2^{24} $
  5. $ 10^8 < 2^{24} < 5^{12} $