Marxist vs exponent

Marxist and exponent both are nouns.

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

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

Other hypernyms of Marxist include advocate, advocator, proponent.

Marxist (noun)	exponent (noun)
an advocate of Marxism	a mathematical notation indicating the number of times a quantity is multiplied by itself
emotionally charged terms used to refer to extreme radicals or revolutionaries	a person who pleads for a cause or propounds an idea
	someone who expounds and interprets or explains

Marxist (adjective)	exponent (adjective)
following the ideas of Marx and Engels