There are ways to use your toothpaste outside your teeth.  If it’s white of course, you can use it to fill in holes in your wall or otherwise, nail holes specifically. It’s quite easy and can be quite convenient in general terms.  You can also use it to clean off tar.  Yes, it is that powerful a chemical.  In addition, it has been more commonly used to clear pimples.  Put it on and the inflammation will go down within a few hours, though generally speaking wear makeup after that as it will actually leave a nasty little red spot. 

Put it on, leave it on, and then actually wash it off with your night wash before you go to bed.  This will be the easiest way to do it if you are going to use it.  But if you consider the fact that it can take off tar, you see how rough it can be on your skin in general.  So no matter the application, if your skin is actually involved at this time, then you have to actually be extra careful in how you use it, and frankly I wouldn’t use it at all.  It’s quite damaging, and you can really undo only so much damage in general, let alone to that degree and with something that you will find for cheap such as a moisturizer or an antioxidant based formula. Otherwise, it could easily get quite expensive to repair the damage.