Question

Simplify (64÷125)^-2/3

Answer 1

(4^3/5^3)^-2/3
=>(5^3/4^3)^2/3
= 5²/4² = 25/16 which is the answer
Hope it helps

Answer 2

${( \frac{64}{125}) }^{ - \frac{2}{3} } \\ \\ {( \frac{125}{64}) }^{ \frac{2}{3} } \\ \\ (\frac{ {5}^{3} }{ {4}^{3} } ) ^{ \frac{2}{3} } \\ \\ \frac{5 ^{3 \times \frac{2}{3} } }{ {4}^{3 \times \frac{2}{3} } } \\ \\ \\ \frac{ {5}^{2} }{ {4}^{2} } \\ \\ \frac{25}{16}$



I hope this will help you


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