run down vs exhaust

run down is not a noun while exhaust is a noun.

Word	Noun	Adjective	Verb	Adverb
run down	No	No	Yes	No
exhaust	Yes	No	Yes	No

As verbs, run down and exhaust are synonyms defined as:

Other synonyms of run down include play out, sap, tire.

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

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

run down (noun)	exhaust (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

run down (verb)	exhaust (verb)
use up all one's strength and energy and stop working	wear out completely
injure or kill by knocking (someone or something) down and passing over the body, as with a vehicle	eliminate (a substance)
pursue until captured	use up the whole supply of
move downward	use up (resources or materials)
examine hastily	deplete
deplete
trace