Question

evaluate (5/8)^7×(8/5)^3​

Answer 1

Answer:

$( \frac{5}{8} ) ^{7} \times ( { \frac{8}{5} })^{3} \\ \\ \\ = \frac{ {5}^{7} }{ {8}^{7} } \times \frac{ {8}^{3} }{ {5}^{3} } \\ \\ \\ = \frac{ {5}^{7} \times {8}^{3} }{ {5}^{3} \times {8}^{7} } \\ \\ \\ = \frac{ {5}^{7 - 3} }{ {8}^{7 - 3} } \\ \\ \\ = \frac{ {5}^{4} }{ {8}^{4} } \\ \\ \\ = \frac{625}{4096} \\ \\ \\ = 0.15258789062$

Step-by-step explanation:

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