cheer vs exuberate

cheer is a noun but exuberate is not a noun.

Word	Noun	Adjective	Verb	Adverb
cheer	Yes	No	Yes	No
exuberate	No	No	Yes	No

As verbs, exuberate is a hyponym of cheer; that is, exuberate is a word with a more specific, narrower meaning than cheer:

Other hyponyms of cheer include exult, jubilate, rejoice, triumph, buoy up, lighten, lighten up.

cheer (noun)	exuberate (noun)
the quality of being cheerful and dispelling gloom
a cry or shout of approval

cheer (verb)	exuberate (verb)
become cheerful	to express great joy
spur on or encourage especially by cheers and shouts
show approval or good wishes by shouting
cause (somebody) to feel happier or more cheerful
give encouragement to