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(0.04)^-1.5 = ?

125
2125
3250
4625

Answer:- 1

Explanation:-

Solution:

\begin{aligned} {(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 \end{aligned}

$\eqalign{ & {\left( {0.04} \right)^{ - 1.5}} = {\left( {\frac{4}{{100}}} \right)^{ - 1.5}} \cr & = {\left( {\frac{1}{{25}}} \right)^{ - \left( {3/2} \right)}} \cr & = {\left( {25} \right)^{\left( {3/2} \right)}} \cr & = {\left( {{5^2}} \right)^{\left( {3/2} \right)}} \cr & = {\left( 5 \right)^{2 \times \left( {3/2} \right)}} \cr & = {5^3} \cr & = 125 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} {(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 \end{aligned}

$\eqalign{ & {\left( {0.04} \right)^{ - 1.5}} = {\left( {\frac{4}{{100}}} \right)^{ - 1.5}} \cr & = {\left( {\frac{1}{{25}}} \right)^{ - \left( {3/2} \right)}} \cr & = {\left( {25} \right)^{\left( {3/2} \right)}} \cr & = {\left( {{5^2}} \right)^{\left( {3/2} \right)}} \cr & = {\left( 5 \right)^{2 \times \left( {3/2} \right)}} \cr & = {5^3} \cr & = 125 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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