Exact is used with these nouns as the object:
obedience, penalty, retribution, revenge, toll, vengeance

Exact is used with these nouns:
amount, antithesis, balance, calculation, centre, composition, copy, correspondence, date, definition, description, detail, dimension, distance, duplicate, equivalent, extent, figure, fit, imitation, kind, likeness, location, match, meaning, measurement, mechanism, moment, nature, number, opposite, parallel, position, proportion, quote, reason, record, repetition, replica, reproduction, requirement, reverse, role, science, specification, spot, timing, translation, truth, whereabouts, word, wording