government activity vs governing

government activity and governing both are nouns.

Word	Noun	Adjective	Verb	Adverb
government activity	Yes	No	No	No
governing	Yes	Yes	No	No

As nouns, government activity and governing are synonyms defined as:

government activity and governing: the act of governing; exercising authority

Other synonyms of government activity include administration, governance, government.

government activity (noun)	governing (noun)
the act of governing; exercising authority	the act of governing; exercising authority

government activity (adjective)	governing (adjective)
	responsible for making and enforcing rules and laws