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\((0.04)^{-1.5}=?\)

  • A.25
  • B.125
  • C.250
  • D.625

Answer: B

\((0.04)^{-1.5}=(\frac{4}{100})^{-1.5}\)

\(= (\frac{1}{25})^{-(3/2)}\)

\(= (25)^{(3/2)}\)

\(= (5^{2})^{(3/2)}\)

\(= (5)^{2\times(3/2)}\)

\(= 5^3\)

=125

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