PS5's processing power will be quite impressive. It's an AMD Ryzen CPU, and AMD has made HUGE strides in processing power over the past few years. Back when PS4 was in development, AMD processors -- especially lower power AMD processors, which both Sony and MS used for the current gen -- were really not impressive at all, but PS4/Xbox One used them anyway because it was the most cost effective/efficient means to usher in this generation. Also, Intel (AMD's competition) was lightyears ahead of AMD back then, but that's not the case anymore. Current AMD CPU tech ranges from pretty cutting edge, to at the very least, quite powerful.
PS5's processor won't be like PS4's which is basically a beefed up laptop APU that was already pretty stale right out of the gate. Regardless of this fact, look at what has been accomplished on even the base PS4 over the years, despite having such lackluster processing power. It's very safe to say that the leap in processing power will be massive on PS5. Look at it this way, when PS4 launched it was, as I said previously, using a beefed up low power laptop class APU. PS5 will, by default, have an advanced desktop class processor using much newer tech -- not even taking into account more technical details, that in and of itself should give you an idea of how much more powerful we're talking here.