Question

сократие дробь 3^2n+2*5^n-2/45^n+1

Answer 1

$frac{ 3^{2n+2} * 5^{n-2} }{ 45^{n+1} } = frac{ 3^{2n} * 3^{2}* 5^{n} * frac{1}{ 5^{2} } }{ 5^{n+1}* 9^{n+1} } = frac{ 9^{n}*9* 5^{n} }{ 5^{n} *5* 9^{n} *9*25} = frac{1}{125} =0,008$