Math, asked by iraagrawal12, 10 months ago

simplify : (-9/5) ‐⁵ × (5/3) ‐⁵ × (1/3)‐²

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Answered by DrNykterstein
2

 </p><p></p><p>\sf \rightarrow \quad  \bigg( \frac{ - 9}{5}  \bigg)^{ - 5}  \times  \bigg( \frac{5}{3}  \bigg)^{ - 5}  \times  \bigg( \frac{1}{3}  \bigg)^{ - 2}  \\  \\ \sf \rightarrow \quad  \bigg(  \frac{5}{ -  {3}^{2} } \bigg)^{5}  \times  \bigg(  \frac{3}{5} \bigg)^{5}  \times  \bigg( \frac{3}{1}  \bigg)^{2}  \\  \\ \sf \rightarrow \quad  \bigg( \frac{ \cancel{5}}{  -  {3}^{ \cancel{2}} } \times  \frac{ \cancel{3}}{ \cancel{5}}   \bigg)^{5}  \times  {3}^{2}  \\  \\ \sf \rightarrow \quad    \frac{1}{  -  \cancel{9} \times 27}   \times  \cancel{9} \\  \\ \sf \rightarrow \quad  -  \frac{1}{27} </p><p>

Answered by pranjalsingh11
1

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