The value of(0.03125)−25is =?The value of(0.03125)−25is =?\eqalign{ & {\text{The value of}} \cr & {\left( {0.03125} \right)^{ - \frac{2}{5}}}\,{\text{is }} = ? \cr} " /> The value of(0.03125)−25is =?The value of(0.03125)−25is =?\eqalign{ & {\text{The value of}} \cr & {\left( {0.03125} \right)^{ - \frac{2}{5}}}\,{\text{is }} = ? \cr} " /> The value of(0.03125)−25is =?The value of(0.03125)−25is =?\eqalign{ & {\text{The value of}} \cr & {\left( {0.03125} \right)^{ - \frac{2}{5}}}\,{\text{is }} = ? \cr} " />

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$\begin{aligned} The value of \\ {(0.03125)}^{- \frac{2}{5}} is = ? \end{aligned}$ $\eqalign{ & {\text{The value of}} \cr & {\left( {0.03125} \right)^{ - \frac{2}{5}}}\,{\text{is }} = ? \cr}$

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431.25

Answer:- 1

Explanation:-

Solution:

\begin{aligned} {(0.03125)}^{- \frac{2}{5}} \\ = {[{(0.5)}^{5}]}^{- \frac{2}{5}} \\ = {0.5}^{[5 \times (- \frac{2}{5})]} \\ = {(0.5)}^{- 2} \\ = \frac{1}{{(0.5)}^{2}} \\ = \frac{1}{0.25} \\ = 4 \end{aligned}

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", "text": "

\begin{aligned} The value of \\ {(0.03125)}^{- \frac{2}{5}} is = ? \end{aligned}

$\eqalign{ & {\text{The value of}} \cr & {\left( {0.03125} \right)^{ - \frac{2}{5}}}\,{\text{is }} = ? \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} {(0.03125)}^{- \frac{2}{5}} \\ = {[{(0.5)}^{5}]}^{- \frac{2}{5}} \\ = {0.5}^{[5 \times (- \frac{2}{5})]} \\ = {(0.5)}^{- 2} \\ = \frac{1}{{(0.5)}^{2}} \\ = \frac{1}{0.25} \\ = 4 \end{aligned}

$\eqalign{ & {\left( {0.03125} \right)^{ - \frac{2}{5}}} \cr & = {\left[ {{{\left( {0.5} \right)}^5}} \right]^{ - \frac{2}{5}}} \cr & = {0.5^{\left[ {5 \times \left( { - \frac{2}{5}} \right)} \right]}} \cr & = {\left( {0.5} \right)^{ - 2}} \cr & = \frac{1}{{{{\left( {0.5} \right)}^2}}} \cr & = \frac{1}{{0.25}} \cr & = 4 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: