Here's how to determine the balanced net ionic equation for the reaction between perchloric acid (HClO₄) and sodium hypochlorite (NaClO):

1. Write the complete molecular equation:

HClO₄(aq) + NaClO(aq) → NaClO₄(aq) + HClO(aq)

2. Identify the soluble ionic compounds and write them as ions:

* HClO₄(aq) → H⁺(aq) + ClO₄⁻(aq)

* NaClO(aq) → Na⁺(aq) + ClO⁻(aq)

* NaClO₄(aq) → Na⁺(aq) + ClO₄⁻(aq)

* HClO(aq) remains as a weak acid (it doesn't dissociate significantly)

3. Write the complete ionic equation:

H⁺(aq) + ClO₄⁻(aq) + Na⁺(aq) + ClO⁻(aq) → Na⁺(aq) + ClO₄⁻(aq) + HClO(aq)

4. Cancel out spectator ions:

Na⁺ and ClO₄⁻ appear on both sides of the equation, so they are spectator ions and can be canceled out.

5. Write the net ionic equation:

H⁺(aq) + ClO⁻(aq) → HClO(aq)

This is the balanced net ionic equation for the reaction.