Question

Find the reciprocal of the rational number : (5/2)^-2 ÷ (1/5)^-3 = what Plz answer ..... it is very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very IMPORTANT ....................​

Answer 1

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Given rational number,

$\sf { (\frac{5}{2}) }^{ - 2} \div {( \frac{1}{5} )}^{ - 3}$

$\sf = {( \frac{2}{5}) }^{2} \div {5}^{3}$

$\sf = \frac{ {2}^{2} }{ {5}^{2} } \times \frac{1}{ {5}^{3} }$

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

Therefore, reciprocal,

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

Answer 2

Answer:

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