ice ax vs ice axe

ice ax and ice axe both are nouns.

Word	Noun	Adjective	Verb	Adverb
ice ax	Yes	No	No	No
ice axe	Yes	No	No	No

As nouns, ice ax and ice axe are synonyms defined as:

ice ax and ice axe: an ax used by mountain climbers for cutting footholds in ice

Other synonyms of ice ax include piolet.

ice ax (noun)	ice axe (noun)
an ax used by mountain climbers for cutting footholds in ice	an ax used by mountain climbers for cutting footholds in ice