Solve (-(2)²)²: Double Square with Negative Number

$$$(-(2)^2)^2=$

To solve this problem, we'll methodically approach it by following these steps:

• Step 1: Simplify the expression inside the parentheses.
• Step 2: Evaluate the power applied to the result from Step 1.

Now, let's execute each step in detail:

Step 1: Simplify the expression inside the parentheses $(-(2)^2)$.

Calculate $(2)^2$:

$2^2 = 4$

Substitute back into the expression:

$-(2)^2 = -4$

Step 2: Evaluate the expression $(-4)^2$.

Calculate the square:

$(-4)^2 = 16$

The solution to the problem is $16$, which corresponds to choice 2.