Question

CAN SOMEONE PLEASE HELP ITS DUE TODAY

Answer 1

Answer:

n = 6

Step-by-step explanation:

$\frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6$

Answer 2

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

Let's solve ~

$\qquad \sf \dashrightarrow \: \frac{5 {}^{n} \times {5}^{3} }{5 {}^{7} } = {5}^{2}$

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

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

$\qquad \sf \dashrightarrow \:5 {}^{n - 4} = {5}^{2}$

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

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

$\qquad \sf \dashrightarrow \:n = 6$

Hence, value of n is 6