Question

Simplify the following expression :


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Answer 1

$(\frac{64}{125} )^-^2^/^3\\\\(\frac{125}{64} ) ^2^/^3\\\\(\frac{5^3}{4^3} )^2^/^3\\\\((\frac{5}{4} )^3)^2^/^3\\\\(\frac{5}{4} )^2\\\\= > \frac{25}{16} \ (D) \\\\hope \ it \ helps \ !!$

Answer 2

Answer:

$\LARGE{ \underline{\underline{ \pink{ \bf{Required \: answer:}}}}}$

$( { \frac{64}{125} })^{ \frac{ - 2}{3} } \\ \\ \to ({ { \frac{4}{5}})^{3}} \times ^{ \frac{ - 2}{3} } \\ \\ \to ({ \frac{4}{5} })^{ - 2} \\ \\ \to \: ( { \frac{5}{4} })^{2} \\ \\ \to \: \bold \green{ \frac{25}{16} }$