exhaust vs burn up

exhaust is a noun but burn up is not a noun.

Word	Noun	Adjective	Verb	Adverb
exhaust	Yes	No	Yes	No
burn up	No	No	Yes	No

As verbs, burn up is a hyponym of exhaust; that is, burn up is a word with a more specific, narrower meaning than exhaust:

exhaust (noun)	burn up (noun)
system consisting of the parts of an engine through which burned gases or steam are discharged
gases ejected from an engine as waste products

exhaust (verb)	burn up (verb)
wear out completely	burn completely; be consumed or destroyed by fire
eliminate (a substance)	use up (energy)
use up the whole supply of	burn brightly
use up (resources or materials)
deplete