Solve -(-(3)²)²: Double Negative with Square Numbers

To solve the expression $-(-(3)^2)^2$, we will strictly follow the order of operations, PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

• Step 1: Evaluate the inner exponent.
  We compute $(3)^2 = 9$.
• Step 2: Apply the first negative sign.
  The expression becomes $-((3)^2) = -(9) = -9$.
• Step 3: Apply the second negative sign and exponent.
  Now, simplify $-(-9)^2$.
  First, evaluate the exponent: $(-9)^2 = (-9) \times (-9) = 81$.
  Then, apply the negative sign: $-81$.

Therefore, the solution to the problem is $-81$.