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

Mathematics
WAEC 1991

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

  • A. 1/8
  • B. 1/4
  • C. 2
  • D. 4
  • E. 8
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Correct Answer: Option E
Explanation

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

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

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

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

= \(2^3\)

= 8


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