cut down vs poleaxe

cut down is not a noun while poleaxe is a noun.

Word	Noun	Adjective	Verb	Adverb
cut down	No	No	Yes	No
poleaxe	Yes	No	Yes	No

As verbs, poleaxe is a hyponym of cut down; that is, poleaxe is a word with a more specific, narrower meaning than cut down:

Other hyponyms of cut down include chop down, poleax, log, lumber, cut.

cut down (noun)	poleaxe (noun)
	a battle ax used in the Middle Ages; a long handled ax and a pick
	an ax used to slaughter cattle; has a hammer opposite the blade

cut down (verb)	poleaxe (verb)
cut down on; make a reduction in	fell with or as if with a poleax
intercept (a player)
cause to come or go down
cut with a blade or mower
cause to fall by or as if by delivering a blow
cut with sweeping strokes; as with an ax or machete