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

  • A.3
  • B.1/3
  • C.9
  • D.1/9

Answer: B

A negative exponent inverts and a fractional one takes a root.

\[ 81^{-1/4} = \frac{1}{81^{1/4}} = \frac{1}{\sqrt[4]{81}} \]

\[ = \frac{1}{3} \]

Since \( 3^{4} = 81 \). Missing the minus sign would give 3.

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