Question

Сократить дробь 3^2 * 36^n / 2^2n+1 * 3^2n

Answer 1

$frac{3^{2} *36^{n} }{2^{2n+1}*3^{2n}} = frac{36^{n} *9}{(2^{2})^{n} *2^{1} * (3^{2})^{n}} = frac{36^{n} *9}{4^{n} *9^{n}*2} = frac{36^{n} *9}{36^{n} *2} =4,5$