1. The problem asks us to find the power set of the set $\{a\}$. 2. The power set of a set is the set of all possible subsets of the original set, including the empty set and the set itself. 3. Given the set $\{a\}$, the subsets are:   - The empty set $\emptyset$   - The set containing $a$ itself, $\{a\}$ 4. Therefore, the power set is: $$\{\emptyset, \{a\}\}$$