Whoever expelled less energy outside of the house on a given day. If equal, the role should be shared.
When you are out in the world working, the home is a place to rest and not have even more troubles. If you don't work in the world, you should maintain the home so the person keeping the roof over your head can rest and continue to keep the lights on.
In general, I think women suffer less doing the task than men do (in general of course), and they should do these things because it is easier for them.