Find All Expressions Equal to 36: Complete Number Decomposition

To determine which expression equals 36, we need to consider how squaring works with negative numbers:
Step 1: Consider the expression $(-6)^2$. This means that we take -6 and multiply it by itself:
$(-6) \times (-6) = 36$

Step 2: Consider the expression $-(6)^2$. Here, the square acts only on 6, not on the negative sign in front because of the absence of parentheses around -6:
$-(6 \times 6) = -36$

Therefore, the expression $(-6)^2$ correctly equals 36.

The correct choice that satisfies $36 =$ is $(-6)^2$.