IPA: /nɒnˈrɛzɪdənsi/
KK: /nɑnˈrɛzɪdənsi/
The state of not living in a particular place or area.
His nonresidency in the city meant he could not vote in the local elections.
Nonresidency → It is formed from "non-" (meaning not) and "residency" (from Latin "residens", meaning to reside or dwell). The word "nonresidency" means the state of not residing or not having a permanent home in a particular place.
Think of 'not' ('non-') living or 'dwelling' ('residency') in a place — that's what nonresidency means.