Question

(125/512) has power-2/3 then find the value

Answer 1

$= ( { \frac{125}{512} })^{ - \frac{2}{3} } \\ = ( { \frac{ {(5)}^{3} }{ {(8)}^{3} } })^{ - \frac{ 2}{3} } \\ = \frac{ {5}^{3 \times - \frac{2}{3} } }{ {8}^{3 \times - \frac{2}{3} } } \\ = \frac{ {5}^{ - 2} }{ {8}^{ - 2} } \\ = \frac{ {8}^{2} }{ {5}^{2} } \\ = \frac{64}{25} \: \: \: \: \: \: \: answer$