Here's how to determine the net ionic equation for the reaction of ammonium perchlorate (NH₄ClO₄) and potassium hydroxide (KOH):

1. Write the balanced molecular equation:

NH₄ClO₄(aq) + KOH(aq) → NH₃(aq) + H₂O(l) + KClO₄(aq)

2. Write the complete ionic equation:

NH₄⁺(aq) + ClO₄⁻(aq) + K⁺(aq) + OH⁻(aq) → NH₃(aq) + H₂O(l) + K⁺(aq) + ClO₄⁻(aq)

3. Identify the spectator ions:

Spectator ions are those that appear on both sides of the equation and do not participate in the reaction. In this case, K⁺ and ClO₄⁻ are spectator ions.

4. Write the net ionic equation by removing the spectator ions:

NH₄⁺(aq) + OH⁻(aq) → NH₃(aq) + H₂O(l)

Therefore, the net ionic equation for the reaction of ammonium perchlorate and potassium hydroxide is:

NH₄⁺(aq) + OH⁻(aq) → NH₃(aq) + H₂O(l)