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