IPA: /pɜːrˌspɪkəˈʃəsli/
KK: /pɜrˈspɪkəˌʃəsli/
In a way that shows a deep understanding or insight; with sharp perception and good judgment.
She perspicaciously analyzed the situation and made the best decision.
Perspicaciously → It is formed from "perspicax" (from Latin, meaning clear-sighted or discerning) and the suffix "-ly" (meaning in a manner of). The word "perspicaciously" means in a manner that shows keen insight or understanding.
Think of being 'clear-sighted' ('perspicax') to remember that 'perspicaciously' means showing keen insight.