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What is the value of \((81)^{-1/4}\) ?

  • A.3
  • B.1/3
  • C.9
  • D.1/9

Answer: B

We know that \(81 = 3^4\).

So, \((81)^{-1/4} = (3^4)^{-1/4}\).

Using the rule \((a^m)^n = a^{mn}\), we get \(3^{4 \times (-1/4)} = 3^{-1}\).

\(3^{-1} = \frac{1}{3}\).

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