Question

15ⁿ --------------- 5ⁿ-² * 3 ⁿ+² Сократите дробь

Answer 1

$\frac{ 15^{n} }{ 5^{n-2}* 3^{n+2} }= \frac{ 5^{n}* 3^{n} }{ 5^{n-2} * 3^{n+2} } = 5^{n-(n-2)}* 3^{n-(n+2)}= 5^{n-n+2}* 3^{n-n-2}= 5^{2}*$$* 3^{-2}=25* \frac{1}{9} = \frac{25}{9}=2 \frac{7}{9}$