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The value of $${\left( {0.03125} \right)^{ - \frac{2}{5}}}$$ is = ?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& {\left( {0.03125} \right)^{ - \frac{2}{5}}} \cr
& = {\left[ {{{\left( {0.5} \right)}^5}} \right]^{ - \frac{2}{5}}} \cr
& = {0.5^{\left[ {5 \times \left( { - \frac{2}{5}} \right)} \right]}} \cr
& = {\left( {0.5} \right)^{ - 2}} \cr
& = \frac{1}{{{{\left( {0.5} \right)}^2}}} \cr
& = \frac{1}{{0.25}} \cr
& = 4 \cr} $$
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