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8. 设 $a \log _{3} 4=2$ ，则 $4^{-a}=(\quad)$

Gaokao · Math · previous-year question

  1. A.$\frac{1}{16}$
  2. B.$\frac{1}{9}$correct
  3. C.$\frac{1}{8}$
  4. D.$\frac{1}{6}$

Answer

B. $\frac{1}{9}$

Explanation

【详解】由 $a \log _{3} 4=2$ 可得 $\log _{3} 4^{a}=2$ ，所以 $4^{a}=9$, 所以有 $4^{-a}=\frac{1}{9}$, 故选: B.

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