In lang=en terms the difference between exact and exploit
is that
exact is to forcibly obtain or produce while
exploit is to use for one’s own advantage.
As verbs the difference between exact and exploit
is that
exact is to demand and enforce the payment or performance of while
exploit is to use for one’s own advantage.
As an adjective exact
is precisely agreeing with a standard, a fact, or the truth; perfectly conforming; neither exceeding nor falling short in any respect.
As a noun exploit is
a heroic or extraordinary deed.