Compare Absolute Values: Analyzing -|-81| and |9²|

To solve this problem, let's proceed with the required steps:

• Step 1: Calculate the absolute value $\left|-81\right|$.
  $\left|-81\right| = 81$.
• Step 2: Apply a negative sign to $\left|-81\right|$:
  $-\left|-81\right| = -81$.
• Step 3: Calculate the absolute value $\left|9^2\right|$.
  First, evaluate $9^2 = 81$, so $\left|81\right| = 81$.
• Step 4: Compare $-81$ and $81$.
  The numbers $-81$ and $81$ are indeed opposites since one is the negative of the other.

Therefore, the solution to the problem is Yes, the numbers are opposites.