Question

[(-2/5)^-1]^-2
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Answer 1

$[( \frac{ - 2}{5} )^{ - 1} ]^{ - 2} \\ = (\frac{ - 2}{5} )^{2} \\ = \frac{4}{25}$

Answer 2

Step-by-step explanation:

$( {( { \frac{2}{5} })^{ - 1}) }^{ - 2}$

$= ( { \frac{1}{ \frac{2}{5} } })^{ - 2}$

$= ( { \frac{5}{2} })^{ - 2}$

$= \frac{ {5}^{ - 2} }{ {2}^{ - 2} }$

$= \frac{ \frac{1}{ {5}^{2} } }{ \frac{1}{ {2}^{2} } }$

$= \frac{ \frac{1}{25} }{ \frac{1}{4} }$

$= \frac{1}{25} \times \frac{4}{1}$

$= \frac{4}{25}$