IPA: /ˌʌnɪmˈpiːtʃəblɪ/
KK: /ʌnɪmˈpiːtʃəblɪ/
In a way that cannot be questioned or doubted; in a manner that is beyond reproach.
The scientist presented her findings unimpeachably, leaving no room for doubt.
Unimpeachably → It is formed from "un-" (meaning not), "impeach" (from Old French *empecher*, meaning to hinder or obstruct), and "-ably" (meaning in a manner that can be). The word means in a manner that cannot be hindered or obstructed, often referring to something that is beyond doubt or accusation.
Think of 'not' ('un-') being combined with 'hinder' ('impeach') to remember that 'unimpeachably' means something that cannot be hindered or doubted.