Math, asked by bajwamisbah19, 4 months ago

(1/216)^-2/3+(1/27)^-4/3

Answers

Answered by Luckydancer950
1

Answer:

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Answered by Salmonpanna2022
1

Answer:

Correction:

 \bf \underline{Solution-} \\

\textsf{Given fractional expression,}\\

 \sf{ \bigg( \frac{1}{216}  \bigg) ^{ -  \frac{2}{3} } \div  \bigg( \frac{1}{27} \bigg)^{ -  \frac{4}{3} }   } \\

 \sf{ \Rightarrow \: (216 {)}^{ \frac{2}{3} }  \div (27 {)}^{ \frac{4}{3} } } \\

 \sf{ \Rightarrow \: ( {6}^{3}  {)}^{ \frac{2}{3} }  \div ( {3}^{3}  {)}^{ \frac{4}{3} } } \\

 \sf{ \Rightarrow \: {6}^{ \cancel3 \times  \frac{2}{ \cancel3} }   \div  {3}^{ \cancel3 \times  \frac{4}{ \cancel3} } } \\

 \sf{ \Rightarrow \:  {6}^{2}  \div  {3}^{4} } \\

 \sf{ \Rightarrow \: 6 \times 6 \div 3 \times 3 \times 3 \times 3} \\

 \sf{ \Rightarrow \: 36 \div 81} \\

 \sf{ \Rightarrow \: \frac{36}{81}  }\\

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