Math, asked by dibyadarshan70, 3 months ago

find the value of m,if (7/11) ^2m×(11/7) ^4=(49/121) ^-3​

Answers

Answered by Anonymous
1

hope this helps

thanks for asking

Attachments:
Answered by jaidansari248
4

{ (\frac{7}{11} ) }^{2m}  \times  {( \frac{11}{7} )}^{4}  ={  (\frac{49}{121} ) }^{ - 3}  \\  =  >  { (\frac{7}{11}) }^{2m}  \times  {( \frac{7}{11}) }^{ - 4}  =   ({ \frac{7}{11} )}^{2 \times ( - 3)}  \\  =  > \: {( \frac{7}{11} ) }^{2m - 4}  =  {( \frac{7}{11}) }^{ - 6}  \\ base \: are \: same \: then \\ 2m - 4 =  - 6 \\  =  > 2m =  - 6 + 4 \\  =  - 2 \\  =  > m =   \frac{ - 2}{2}  =  - 1

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