In a zero-order reaction, the rate of reaction is independent of the concentration of the reactants. The rate law for a zero-order reaction is simply:
\[
\text{Rate} = k
\]
where \( k \) is the rate constant. This means that no matter how much of the reactant is present, the rate of the reaction remains constant over time.
For the other options:
- Option (1) represents a first-order reaction.
- Option (2) represents a second-order reaction.
- Option (4) represents a general order reaction, where \( n \) can be any value.
Therefore, the correct answer is \( \text{Rate} = k \), representing a zero-order reaction.