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1966 AMC 12 Question 16

AMC12 · 1966 AMC 12

Question 16

If

$$
\begin{gathered} \dfrac{4^x}{2^{x+y}}=8,\\ \dfrac{9^{x+y}}{3^{5y}}=243, \end{gathered}
$$

$x$ and $y$ are real numbers, then $xy$ equals:
  1. $1\dfrac34$
  2. $4$
  3. $6$
  4. $12$
  5. $-4$