2018 AMC 10A Problems/Problem 14

Revision as of 14:00, 8 February 2018 by Ishankhare (talk | contribs) (Created page with "What is the greatest integer less than or equal to <cmath>\frac{3^{100}+2^{100}}{3^{96}+2^{96}}?</cmath> <math> \textbf{(A) }80\qquad \textbf{(B) }81 \qquad \textbf{(C) }96 \...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

What is the greatest integer less than or equal to \[\frac{3^{100}+2^{100}}{3^{96}+2^{96}}?\]

$\textbf{(A) }80\qquad \textbf{(B) }81 \qquad \textbf{(C) }96 \qquad \textbf{(D) }97 \qquad \textbf{(E) }625\qquad$