properly vs exactly

properly and exactly both are adverbs.

Word	Noun	Adjective	Verb	Adverb
properly	No	No	No	Yes
exactly	No	No	No	Yes

As adverbs, properly and exactly are synonyms defined as:

Other synonyms of properly include just, precisely.

properly (adverb)	exactly (adverb)
in the right manner; correctly; suitably	indicating exactness or preciseness
in accordance with what is appropriate or suitable for the circumstances	in a precise manner
indicating exactness or preciseness	just as it should be