Math, asked by FaizKhan321, 1 month ago

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Answered by Athul4152
1

(64 {m}^{ - 6}  {n}^{3} ) {}^{ \frac{2}{3} }   =  (\frac{64 {n}^{3} }{ {m}^{6} } ) {}^{ \frac{2}{3} }   \\

  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =(  \frac{( {4n})^{3} }{m {}^{6} }) {}^{ (\frac{2}{3} )}  \\

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =  (\frac{4n}{m {}^{2} } ) {}^{3 \times  \frac{2}{3} }  \\

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =  (\frac{4n}{m {}^{2} } ) {}^{2}  \\

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{16n {}^{2} }{m {}^{4} }  \\

  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 16m {}^{ - 4} n {}^{2}

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