Math, asked by RoniMalik, 1 year ago

solve it
 {2}^{n}  +  {2}^{n - 1}  \div  {2}^{n + 1}  -  {2}^{n}

Answers

Answered by gaurav2013c
0

 {2}^{n}  +  {2}^{n - 1}  \div  {2}^{n + 1}  -  {2}^{n}  \\  \\  =  {2}^{n}  +  {2}^{(n - 1 - n - 1)}  -  {2}^{n}  \\  \\  =  {2}^{ - 2}  \\  \\  =  { (\frac{1}{2} )}^{2}  \\  \\  =  \frac{1}{4}

RoniMalik: please give explanation how you solve it
RoniMalik: ????
gaurav2013c: First, 2^n - 2n = 0
gaurav2013c: then 2^(n-1) ÷ 2^(n+1) = 2^(n-1-n-1)
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