rejoicing vs exultant

rejoicing is a noun but exultant is not a noun.

Word	Noun	Adjective	Verb	Adverb
rejoicing	Yes	Yes	No	No
exultant	No	Yes	No	No

As adjectives, rejoicing and exultant are synonyms defined as:

rejoicing and exultant: joyful and proud especially because of triumph or success

Other synonyms of rejoicing include exulting, jubilant, prideful, triumphal, triumphant.

rejoicing (noun)	exultant (noun)
the utterance of sounds expressing great joy
a feeling of great happiness

rejoicing (adjective)	exultant (adjective)
joyful and proud especially because of triumph or success	joyful and proud especially because of triumph or success