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AMC10 2027 - Self-practice Set 5 Question 1

AMC10 · AMC10 2027 - Self-practice Set 5

Question 1

Let $M=\dfrac{3^{100}+2^{100}}{3^{96}+2^{96}}$. What is the greatest integer not exceeding $M$?
  1. $80$
  2. $81$
  3. $96$
  4. $97$
  5. $625$