How volatile is laundry detergent? If I mix two different liquids, am I asking for trouble?

Chemists— I use liquid laundry detergent. I have about an inch of detergent left in one plastic container, and one which is about half full. (Don’t ask why I have two open at once – there’s a stupid reason for it)

If I mix the two, am I going to blow up the house? I’m thinking that it probably isn’t a good idea to mix them, but I’m wondering just how dangerous it is.