Math, asked by rudradevmukherjee464, 1 day ago

plz find the answer to Q-no.(2)
plz it's urgent
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Answers

Answered by pranay9018
1

Answer:

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Step-by-step explanation:

 {2}^{11}  \div  {2}^{5}  =  {2}^{  - 3}  \times  {2}^{2m - 1}  \\  =  > 2^{6}  =  {2}^{ - 3}  \times 2^{2m - 1}  \\  =  > 2^{6}  =   \frac{1}{ {2}^{3} }  \times 2^{2m - 1}  \\  =  > 2 ^{9}  =  {2}^{2m - 1}  \\  =  > comparing \: on \: both \: sides \:  \\  =  > 9 = 2m - 1 \\  =  > 2m = 10

 =  > m =  \frac{10}{2}  \\  =  > \boxed{m = 5}

Therefore the value of m is 5

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