The problem is to evaluate the expression $ -((-2)^2) \div (-3)^3 $.

1. Problem Description

The problem is to evaluate the expression $-((-2)^2) \div (-3)^3$.

2. Solution Steps

First, we evaluate $(-2)^2$:

$(-2)^2 = (-2) \times (-2) = 4$

So the expression becomes:

$- (4) \div (-3)^3$

which is $-4 \div (-3)^3$

Next, we evaluate $(-3)^3$:

$(-3)^3 = (-3) \times (-3) \times (-3) = 9 \times (-3) = -27$

The expression now becomes:

$-4 \div (-27)$

A division by a number is the same as multiplying by its reciprocal.

So we have:

$-4 \div (-27) = -4 \times (\frac{1}{-27}) = \frac{-4}{-27} = \frac{4}{27}$

3. Final Answer

The final answer is $\frac{4}{27}$.