Math, asked by venkateshdasari, 11 months ago

answer this quetion​

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Answered by sagarmankoti
1

  \:  \:  \:  \: \:  \:  \:  \:   {9}^{n + 1}  \div  {3}^{n + 3}  = 81 \\  =   > {3}^{2(n + 1)}  \div  {3}^{n + 3}  =  {3}^{4}  \\  =  >  {3}^{2n + 2}  \div  {3}^{n + 3}  =  {3}^{4}  \\  =  >  {3}^{2n + 2 - n - 3}  =  {3}^{4}  \:  \:  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: |  \:  \: because \:  {a}^{m}  \div  {a}^{n}  =  {a}^{m - n}  \\  =  > 2n + 2 - n - 3 = 4 \\  =  > n - 1 = 4 \\  =  > n = 5

Answered by SLOKESH
1

D is the right answer.

step by step explaination attached above

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