"precise, rigorous, accurate," 1530s, from Latin exactus "precise, accurate, exact," past participle of exigere "demand, require," literally "to drive or force out," also "demand, finish, measure," from ex- "out" (see ex-) + agere "drive, lead, act" (see act).
mid-15c., from Latin exactus, past participle of exigere (see exact (adj.)). Older in English than the adjective and retaining the literal sense of the Latin source. Related: Exacted; exacting.