Since the square of a value and absolute value will always be equal to or greater than 0, and the full equation = 0, both \((a-2)^2\) and \(|b-2|\) must equal 0.

When \((a-2)^2 = 0\), the only value for a is 2.

When \(|b-2| = 0\), the only value for b is 2.

\(\frac{a}{b} = \frac{2}{2} =1\), so B is greater than A.