Question

СРОЧНО!!!!
Сократите дробь $\frac{ 27^{n+1} }{ 3^{3n-2} }$

Answer 1

$\\\frac{27^{n+1}}{3^{3n-2}} = \frac{(3^3)^{n+1}}{3^{3n-2}} = \frac{3^{3n+3}}{3^{3n-2}} = \\ =3^{3n+3-3n-(-2)} = 3^{+3+2} = 3^5 = 243$