Question

Сократите дробь. pls:)

Answer 1

$frac{15^n}{5^{n-2}cdot3^{n+2}}=frac{15^n}{5^{n}cdot5^{-2}cdot3^{n}cdot3^2}=frac{15^ncdot5^2}{(5^{n}cdot3^{n})cdot9}=frac{15^ncdot25}{(5cdot3)^{n}cdot9}=\\frac{15^ncdot25}{15^{n}cdot9}=frac{25}{9}=2frac{7}{9}$

Answer 2

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