Question

CAN SOMEONE PLEASE HELP ITS DUE TODAY

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}♨`

Let's solve ~

`\qquad \sf  \dashrightarrow \: \frac{5 {}^(n) * {5}^(3) }{5 {}^(7) } = {5}^(2)`

`\qquad \sf  \dashrightarrow \: \frac{5 {}^(n + 3) {}^{} }{5 {}^(7) } = {5}^(2)`

`\qquad \sf  \dashrightarrow \:5 {}^(n + 3 - 7) = {5}^(2)`

`\qquad \sf  \dashrightarrow \:5 {}^(n - 4) = {5}^(2)`

`\qquad \sf  \dashrightarrow \:{}{n - 4} = {2}`

`\qquad \sf  \dashrightarrow \:n = 2 + 4`

`\qquad \sf  \dashrightarrow \:n = 6`

Hence, value of n is 6

Answer 2

n = 6

Explanation:

`\frac{ {5}^(n) * {5}^(3) }{ {5}^(7) } = {5}^(2) \\ \\ \implies \: \frac{ {5}^(n + 3) }{ {5}^(7) } = {5}^(2) \\ \\ \implies \: {5}^(n + 3 - 7) = {5}^(2) \\ \\ \implies \: {5}^(n - 4) = {5}^(2) \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6`