Step 1: Understand the chemistry of palmitic acid.
Palmitic acid is a saturated fatty acid, and its alkali salt (when reacted with an alkali like sodium hydroxide) forms a soap. This is because soaps are typically the salts of fatty acids.
Step 2: Explanation of other options.
- An alkoxide refers to a compound with an oxygen anion bonded to an alkyl group, which is not the case for palmitic acid salts.
- An ester would be formed if a fatty acid reacted with an alcohol, but that is not the case here.
- An epoxide involves a three-membered cyclic ether, which is unrelated to palmitic acid.
Final Answer:
\[
\boxed{\text{A soap}}
\]