To find the value of the expression \(-\frac{3}{(-3)^2}\), we follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, we evaluate the expression inside the parentheses:
\[ (-3)^2 = (-3) \times (-3) = 9 \]
Now, we substitute this result back into the expression:
\[ -\frac{3}{9} \]
Next, we simplify the expression by dividing:
\[ -\frac{1}{3} \]
So, the value of the expression \(-\frac{3}{(-3)^2}\) is \(-\frac{1}{3}\).
