Question

Evaluate:

$\sf \bigg( \dfrac{5}{8} \bigg)^{ - 7} \times \bigg( \dfrac{8}{5} \bigg)^{ - 4}$​

Answer 1

Answer:

$( \frac{5}{8}) { }^{ - 7} \times ( \frac{8}{5}) {}^{ - 4}$

$( \frac{8}{5} ) {}^{7} \times ( \frac{8}{5}) {}^{ - 4}$

W.K.T,

$(a) {}^{m} \times (a) {}^{n} = (a) {}^{m + n}$

Therefore,

$( \frac{8}{5} ) {}^{7 - 4} = ( \frac{8}{5} ) {}^{3}$

→ 512/125

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Answer 2

Step-by-step explanation:

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