Сократите дробь 〖〖75〗^n〗^(+1)/(〖3^n〗^(+2)*〖5^2n〗^(+1) )

Question

Сократите дробь 〖〖75〗^n〗^(+1)/(〖3^n〗^(+2)*〖5^2n〗^(+1) )

Answer 1

5^(2n+2)*3^(n+1) / (3^(n+2)*5^(2n+1) )=

= (5^(2n)* 5^2 * 3^n * 3 )  / (3^n * 3^2 *5^(2n) * 5) =

= 5 / 3