Step 1: Recall the difference between intracellular and extracellular enzymes.
Extracellular enzymes are secreted directly into the culture medium.
Therefore, they can be recovered without breaking the cells.
Step 2: Identify the advantage.
Since cell disruption is unnecessary, downstream processing becomes simpler and purification is easier.
Hence,
\[
\boxed{\text{Easier purification}}
\]
is the correct answer.
Therefore,
\[
\boxed{(C)}
\]
is the correct answer.