Question

Сократите дробь 75^n/5^2n-1×3^n-2"/"-знак дроби

Answer 1

$\frac{75 ^{n} }{5 ^{2n-1}*3 ^{n-2} } = \frac{(5 ^{2}*3) ^{n} }{5 ^{2n-1}*3 ^{n-2} }= \frac{5 ^{2n} *3 ^{n} }{5 ^{2n-1}*3 ^{n-2} }=5 ^{2n-2n+1}*3 ^{n-n+2}=5*3 ^{2}=$$=5*9=45$