Question

simplify
$( \frac{5}{8} ) {}^{7} \times ( \frac{8}{5} ) {}^{ - 5}$
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Answer 1

Hope this helps you

Pls mark brainliest

Answer 2

Answer:

$\frac{64}{25}$

Step-by-step explanation:

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