drumbeater vs exponent

drumbeater and exponent both are nouns.

Word	Noun	Adjective	Verb	Adverb
drumbeater	Yes	No	No	No
exponent	Yes	No	No	No

As nouns, exponent is a hypernym of drumbeater; that is, exponent is a word with a broader meaning than drumbeater:

Other hypernyms of drumbeater include advocate, advocator, proponent.

drumbeater (noun)	exponent (noun)
a fervent and even militant proponent of something	a mathematical notation indicating the number of times a quantity is multiplied by itself
	a person who pleads for a cause or propounds an idea
	someone who expounds and interprets or explains