Question

2^11÷2^5=2^-5×2^2n-1, find n​

Answer 1

Answer:

${2}^{11} \div {2}^{5} = {2}^{ - 5} \times {2}^{2n - 1}$

${2}^{11 - 5} = {2}^{ - 5 + 2n - 1}$

${2}^{6} = {2}^{2n - 6}$

$2 \: cancelled$

$2n - 6 = 6$

$2n = 12$

$n = 6$

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Answer 2

Answer:

6

Step-by-step explanation:

According to the question,

2^11/2^5=2^-5×2^(2n-1)

=>2^6=(1/2^5)×2^(2n-1)

=>2^6×2^5=2^(2n-1)

=>2^(2n-1)=2^11

As bases are equal, they are omitted

=>2n-1=11

=>2n=11+1

=>2n=12

=>n=12/2

=>n=6

So, the value of n is 6.

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