Chord inversion generally refers to changing the bass note of a chord to something other than the root note of the chord. Thus, if you played G minor chord with the notes G-Bb-D but put the Bb in the bass (so, Bb-G-D or Bb-D-G), then it would be called "inverted".
Power chords, meanwhile, tend to refer to open fifth chords. That is, you only have the root and fifth of the chord. If you played F-C by itself, that could be a power chord. But F-F-A is more likely interpreted as an incomplete F major chord.
Anyhow, what you're really referring to here is known as chord spacing or chord voicing (which mean roughly the same thing for your examples). Take a look at the examples in that Wikipedia link and see how you can move the notes of a chord to different octaves to create an "open voicing" or "open spacing" of a chord, versus the "closed voicing" or "close position" of a chord where the notes are right next to each other (e.g., G-Bb-D in the same octave).
Hence, your chords are simply G minor, F major (an incomplete chord, without the C), E-flat major, and D minor. To make any of these "inverted" would require that you put a different note as the lowest (bass) note.