Math, asked by khusi123456, 11 months ago

9^-3*(16)^1/4/6^-2*(1/27)^-4/3


Anonymous: hii

Answers

Answered by gsinha082gmailcom
3

Answer:

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Answered by Anonymous
115

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 {9}^{ - 3}  \times  \frac{ {16}^{ \frac{1}{4} } }{ {6}^{ - 2} }  \times ( \frac{1}{27} )  ^{ -  \frac{4}{3} }  \\  \\  =  ( {3}^{2} ) ^{ - 3}  \times   \frac{ ({2}^{4}) ^{ \frac{1}{4} }  }{(2 \times 3) ^{ - 2} }  \times ( \frac{1}{ {3}^{3} } ) ^{  - \frac{4}{3} }  \\  \\  =  {3}^{2 \times ( - 3)}  \times    \frac{ {2}^{4 \times  \frac{1}{4} } }{ {2}^{ - 2} \times  {3}^{ - 2}  }  \times ( {3}^{ - 3} ) ^{ -  \frac{4}{3} }  \\  \\  {3}^{ - 6}  \times   \frac{ {2}^{1} }{ {2}^{ - 2}  \times  {3}^{ - 2} }  \times  {3}^{ - 3 \times   (- \frac{4}{3} )} \\  \\  =  {3 }^{ - 6}  \times  \frac{2}{ {2}^{ - 2}  \times  {3}^{ - 2} }  \times  {3}^{4}  \\  \\  =  {3}^{ - 6  + 2  +  4}  \times  {2}^{1 + 2}  \\  \\  =  {3}^{ - 6 + 6}  \times  {2}^{3}  \\  \\  =  {3}^{0}  \times  {2}^{3 }  \\  \\  = 1 \times 8 \\  \\  = 8

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