IPA: /ˌʌnɪnˈtɛlɪdʒəbli/
KK: /ʌnɪnˈtɛlɪdʒəbli/
In a way that is difficult or impossible to understand.
He spoke so quickly that he was unintelligibly mumbling his words.
Unintelligibly → It is formed from "un-" (meaning not), "intelligible" (from Latin "intelligibilis", meaning able to be understood), and "-ly" (meaning in a manner). The word "unintelligibly" means in a manner that cannot be understood.
Think of 'not' ('un-') being added to 'able to be understood' ('intelligible') — so when something is said 'unintelligibly', it means it cannot be understood.