Question

simplify (64/125)^-2/3

Answer 1

$\huge\textbf{ANSWER}$
$<b>$
$( { \frac{64}{125} )}^{ \frac{ - 2}{3} } \\ \\ = ( { \frac{125}{64} })^{ \frac{ 2}{3} } \\ \\ = ({ \frac{5}{4} })^{3 \times \frac{2}{3} } \\ \\ = ({ \frac{5}{4} )}^{2} \\ \\ = \frac{25}{16}$

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