brainpower vs intelligence

brainpower and intelligence both are nouns.

Word	Noun	Adjective	Verb	Adverb
brainpower	Yes	No	No	No
intelligence	Yes	No	No	No

As nouns, intelligence is a hypernym of brainpower; that is, intelligence is a word with a broader meaning than brainpower:

brainpower: mental ability
intelligence: the ability to comprehend; to understand and profit from experience

brainpower (noun)	intelligence (noun)
mental ability	the operation of gathering information about an enemy
	the ability to comprehend; to understand and profit from experience
	information about recent and important events
	secret information about an enemy (or potential enemy)
	a unit responsible for gathering and interpreting information about an enemy