Question

Simplify 64/125 raise to the power -2/3

Answer 1

Answer:

$qustion \: \\ \implies{simplify \: \: (\frac{64}{125} ) {}^{ \frac{ - 2}{3} } } \\ \\ solution : \\ \implies{( \frac{4 {}^{3} }{5 {}^{3} }) {}^{ \frac{ - 2}{3} } } \\ \implies{ (\frac{4}{5}) {}^{3 \times \frac{ - 2}{3} } } \\ \implies( \frac{4}{5 } ) {}^{ - 2} \\ \implies{ (\frac{5}{4}) {}^{2} } \\ \implies{ \frac{25}{16} }$

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