Đáp án:
$\begin{array}{l}
{\left( { - \frac{1}{3}} \right)^2} + {\left( { - \frac{1}{3}} \right)^3}.27 + \left( { - \frac{{2017}}{{2018}}} \right)\\
= \frac{1}{9} - \frac{1}{{{3^3}}}{.3^3} - \frac{{2017}}{{2018}}\\
= \frac{1}{9} - 1 - \frac{{2017}}{{2018}}\\
= \frac{{2018 - 9.2018 - 9.2017}}{{18162}}\\
= \frac{{ - 34297}}{{18162}}
\end{array}$