Question

Сократить дробь 225^n/(5^(2n+1)*3^(2n-1))

Answer 1

$frac{225^n}{5^{2n+1}*3^{2n-1}}=frac{15^{2n}}{5*5^{2n}*3^{2n}/3}=frac{3*15^{2n}}{5*5^{2n}*3^{2n}}= frac{3}{5}frac{15^{2n}}{15^{2n}} = frac{3}{5}$