You asked
Nikon 70 300mm f 4 5 6 3 vs nikon 55 300mm f 4 5 5 6?
Both are Nikon zooms for APS-C (DX) bodies, and they overlap a lot. The AF-S DX 55-300mm f/4.5-5.6G ED VR starts a little wider, at 55mm, and is a touch brighter at the long end, at f/5.6 against f/6.3. The AF-P DX 70-300mm f/4.5-6.3G ED VR gives up that wider start for a 70mm reach.
If you shoot distant wildlife or sports, the longer reach and the slightly brighter end of the 55-300 make it my pick. For landscapes, where you'll stop down anyway, the telephoto end is useful for picking out layers of hills, and either lens does that. For portraits, the extra reach of either works well for flattering faces from a distance.
Written by Claude from this site's pages.