IPA: //ˈnɒlɪdʒəblɪ//
KK: /ˈnɑlɪdʒəbli/
In a way that shows a lot of knowledge or understanding about a subject.
She spoke knowledgeably about the history of art.
Knowledgeably → It is formed from "knowledge" (from Old English "cnāwleċ", meaning awareness or understanding) and "-ably" (meaning in a manner that). The word "knowledgeably" means in a manner that shows awareness or understanding.
Think of having 'awareness' ('knowledge') and doing something 'in a manner' ('-ably') that reflects that understanding.