Question

Помогите!Сократите дробь

Answer 1

45=9*5=3²*5
$frac{3 ^{2n-3} *5 ^{n+1} }{(3 ^{2}*5) ^{n-2} } = frac{3 ^{2n-3} *5 ^{n+1} }{3 ^{2n-4}*5 ^{n-2} }=3 ^{2n-3-2n+4} *5 ^{n+1-n+2} =3 ^{1} *5 ^{3} =375$