Question

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Answer 1

Step-by-step explanation:

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Answer 2

$\Large \fbox \red {Question \: :}$

Find the value of n.

${5}^{ - 5} \times {5}^{2n + 1} = {5}^{13} \div {5}^{7}$

$\Large \fbox \red {Answer \: :}$

${5}^{ - 5} \times {5}^{2n + 1} = {5}^{13} \div {5}^{7}$

${5}^{2n - 4} = {5}^{6}$

Put the powers equivalent since the base is same.

$2n - 4 = 6$

$2n = 6 + 4$

$2n = 10$

$n = \frac{10}{2}$

$n = 5$

$\implies$ So, the value of n is 5.

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