The C Power Chord chord and everything around it — the notes and how they are built, the shape on piano and guitar, the sound, and the keys it belongs to.
C5 is C, G — the 1 and 5 above the root C.
Root notes are red. There is no standard open shape for this chord — any group of these notes on the neck sounds the chord.
Every position of the chord tones on the ukulele neck — any group that sounds only C, G plays the chord.
A power chord has no 3rd, so it fits both the major and the minor key on C — that ambiguity is exactly why it works under a distorted guitar.
Work out the chords of a whole key with the Scale & Chord Finder, name a chord from its notes with the Chord Identifier, or browse every chord tool. The theory behind how chords are built is in the free Cloud Atelier music guides.