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2018 AMC 10A Question 14

AMC10 · 2018 AMC 10A

Question 14

What is the greatest integer less than or equal to $$
\dfrac{3^{100}+2^{100}}{3^{96}+2^{96}}?
$$
  1. $80$
  2. $81$
  3. $96$
  4. $97$
  5. $625$