Question

Сократите дробь. pls:)

Answer 1

$\frac{15^n}{5^{n-2}\cdot3^{n+2}}=\frac{15^n}{5^{n}\cdot5^{-2}\cdot3^{n}\cdot3^2}=\frac{15^n\cdot5^2}{(5^{n}\cdot3^{n})\cdot9}=\frac{15^n\cdot25}{(5\cdot3)^{n}\cdot9}=\\\\\frac{15^n\cdot25}{15^{n}\cdot9}=\frac{25}{9}=2\frac{7}{9}$

Answer 2

$\frac{15^{n} }{5^{n-2}*3^{n+2}}= \frac{(5*3)^{n} }{5^{n-2}*3^{n+2}}=\frac{5^{n}*3^{n}}{5^{n-2}*3^{n+2}}=5^{n-n+2}*3^{n-n-2}=5^{2}* 3^{-2}=\frac{25}{9}=2\frac{7}{9}$