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2007 AMC 10A Question 9

AMC10 · 2007 AMC 10A

Question 9

Real numbers $a$ and $b$ satisfy the equations $3^a = 81^{b+2}$ and $125^b = 5^{a-3}.$ What is $ab?$
  1. $-60$
  2. $-17$
  3. $9$
  4. $12$
  5. $60$