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

A. 25

B. 125

C. 250

D. 625

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Correct Answer :

B. 125

(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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