waste vs exhaust

waste and exhaust both are nouns.

Word	Noun	Adjective	Verb	Adverb
waste	Yes	Yes	Yes	No
exhaust	Yes	No	Yes	No

As nouns, exhaust is a hyponym of waste; that is, exhaust is a word with a more specific, narrower meaning than waste:

As verbs, exhaust is a hypernym of waste; that is, exhaust is a word with a broader meaning than waste:

Other hypernyms of waste include consume, deplete, eat, eat up, expend, run through, use, use up, wipe out.

waste (noun)	exhaust (noun)
useless or profitless activity; using or expending or consuming thoughtlessly or carelessly	system consisting of the parts of an engine through which burned gases or steam are discharged
(law) reduction in the value of an estate caused by act or neglect	gases ejected from an engine as waste products
the trait of wasting resources
an uninhabited wilderness that is worthless for cultivation
any materials unused and rejected as worthless or unwanted

waste (adjective)	exhaust (adjective)
located in a dismal or remote area; desolate

waste (verb)	exhaust (verb)
become physically weaker	wear out completely
cause extensive destruction or ruin utterly	eliminate (a substance)
cause to grow thin or weak	use up the whole supply of
lose vigor, health, or flesh, as through grief	use up (resources or materials)
spend extravagantly	deplete
use inefficiently or inappropriately
get rid of (someone who may be a threat) by killing
run off as waste
spend thoughtlessly; throw away
dispose of