Simplify: \((\frac{1}{4})^{-1\frac{1}{2}}\)

  • A 1/8
  • B 1/4
  • C 2
  • D 4
  • E 8

The correct answer is E. 8

\((\frac{1}{4})^{-1\frac{1}{2}}\)

= \((\frac{1}{4})^{-\frac{3}{2}}\)

= \((\sqrt{\frac{1}{4}})^{-3}\)

= \((\frac{1}{2})^{-3}\)

= \(2^3\)

= 8

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