Answer
$-\frac{1}{27}$
Work Step by Step
$\frac{2}{27}-(\frac{1}{3})^2\ \longrightarrow$ evaluate exponent
=$\frac{2}{27}-\frac{1}{9}\ \longrightarrow$convert to like fractions
=$\frac{2}{27}-\frac{1\times3}{9\times3}\ \longrightarrow$LCD is 27
=$\frac{2}{27}-\frac{3}{27}\ \longrightarrow$subtract
=$\frac{-1}{27}$