Math, asked by rudrapsb2911, 1 year ago

(125/512) has power-2/3 then find the value

Answers

Answered by Anonymous
5

 = ( { \frac{125}{512} })^{  - \frac{2}{3} }  \\  = ( { \frac{ {(5)}^{3} }{ {(8)}^{3} } })^{  - \frac{ 2}{3} } \\  =  \frac{ {5}^{3 \times   - \frac{2}{3} } }{ {8}^{3 \times  -  \frac{2}{3} } }  \\  =  \frac{ {5}^{ - 2} }{ {8}^{ - 2} }  \\  =  \frac{ {8}^{2} }{ {5}^{2} }   \\  =  \frac{64}{25}   \:  \:  \:  \:  \:  \:  \: answer
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