Solve (-2)²)²: Double Square of a Negative Number

To solve the given problem, we'll use rules of exponents and follow these steps:

• Step 1: Calculate the inner power. Simplify $(-2)^2$.
• Step 2: Calculate the result by taking the square of the previous result.

Here's the detailed breakdown:

Step 1: Determine $(-2)^2$.
Using the property of exponents, $(-2)^2 = (-2) \times (-2) = 4$.

Step 2: Now, square the result from Step 1.
You are to calculate $4^2$.
$4^2 = 4 \times 4 = 16$.

Therefore, the solution to the problem is $\boxed{16}$.