November 2018 Puzzle

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Using only “pencil-and-paper” (no calculators, computers, or other computational devices), determine which of the following expressions is bigger.  

$\Large\frac{15^{16}}{16^{15}} $  or  $\Large\frac{20^{24}}{24^{20}}$

Solutions must clearly demonstrate that the bigger expression is in fact bigger.

***November Solutions are due by November 30***

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