Here's how to determine the net ionic equation for the reaction of aqueous perchloric acid (HClO₄) and potassium hydroxide (KOH):

1. Write the balanced molecular equation:

HClO₄(aq) + KOH(aq) → KClO₄(aq) + H₂O(l)

2. Write the complete ionic equation:

H⁺(aq) + ClO₄⁻(aq) + K⁺(aq) + OH⁻(aq) → K⁺(aq) + ClO₄⁻(aq) + H₂O(l)

3. Identify and cancel spectator ions:

* Spectator ions are ions that appear on both sides of the equation and do not participate in the reaction.

* In this case, K⁺(aq) and ClO₄⁻(aq) are spectator ions.

4. Write the net ionic equation:

H⁺(aq) + OH⁻(aq) → H₂O(l)

Therefore, the net ionic equation for the reaction of aqueous perchloric acid and potassium hydroxide is:

H⁺(aq) + OH⁻(aq) → H₂O(l)