Let's evaluate the expression \((10 - 1)^2 / 27\).
First, simplify inside the parentheses:
\[ 10 - 1 = 9 \]
Now substitute this back into the expression:
\[ (9)^2 / 27 \]
Next, calculate \(9^2\):
\[ 9^2 = 81 \]
Now we have:
\[ 81 / 27 \]
Now perform the division:
\[ 81 / 27 = 3 \]
Therefore, the evaluated expression is:
\[ \boxed{3} \]