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\((0.04)^{-1.5}\) = ?

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

Answer: B

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

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

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

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

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

\(= 5^{3} = 125\)

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