inanely vs fatuously

inanely and fatuously both are adverbs.

Word	Noun	Adjective	Verb	Adverb
inanely	No	No	No	Yes
fatuously	No	No	No	Yes

As adverbs, inanely and fatuously are synonyms defined as:

inanely and fatuously: vacuously or complacently and unconsciously foolish

inanely (adverb)	fatuously (adverb)
vacuously or complacently and unconsciously foolish	vacuously or complacently and unconsciously foolish