IPA: //ˈvæk.ju.əs.li//
KK: /ˈvæk.ju.əs.li/
In a way that shows a lack of thought or intelligence; empty or superficial.
She smiled vacuously, not really understanding what was being discussed.
Vacuously → It is formed from "vacuus" (meaning empty) and the suffix "-ly" (meaning in a manner of). The word "vacuously" means in an empty or lacking substance manner.
Think of 'empty' ('vacuus') to remember that 'vacuously' describes something done in an empty or superficial way.