Question

Find the value of (5/8)-⁷ × (8/5)-⁵​

Answer 1

Answer:

$= ( \frac{5}{8} ) ^{ - 7} \times ( \frac{8}{5}) ^{ - 5} \\ \\ =( \frac{8}{5} ) ^{7} \times ( \frac{8}{5} )^{ - 5} \\ \\ = ( \frac{8}{5} ) ^{7 + ( - 5)} \\ \\ = (\frac{8}{5} ) ^{2} \\ \\ = \frac{ {8}^{2} }{ {5}^{2} } \\ \\ = \frac{64}{25}$