Question

Evaluate $\frac{3\times {27}^{n-1}+9\times 3^{3n-1}}{8\times 3^{3n}-5\times {27}^n}$

Answer 1

$\frac{3^{3n}+3^{3n+2}}{8\times 3^{3n}-5\times 3^{3n}}$

$=\frac{\frac{1}{3}+9}{8-5}$

$=\frac{28}{6}$

$=\frac{14}{3}$