Math, asked by tulasrinivasrao7, 5 months ago

(1/27)^-2/3
equal to​

Answers

Answered by DevyaniKhushi
1

 =  >  {\bigg( \frac{1}{27} \bigg )}^{ \frac{ - 2}{3} }  \\  \\   \\  =  >  {(27)}^{ \frac{2}{3} }  \:  \:  \:  \:  \:  \:  \:  \: \rm  \{ \because {a}^{ - m}   =   {(1/a)}^{m}  \} \\  \\  =  >  {\bigg \{ {(27)}^{2} \bigg \}}^{ \frac{1}{3} }   \:  \:  \:  \:  \:  \:  \:  \: \rm  \{ \because {a}^{m/n}   =   {({a}^{m})}^{1/n}  \} \\  \\  =  >  \sqrt[3]{ {27}^{2} }   \\ =  >  \sqrt[3]{729}  \\  =  > 9

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