So, when we say something is "exothermic," it means that it gives off heat. Think about when you're outside on a really hot day and you start to sweat - that's your body doing an exothermic process to try and cool you down.
Now, this can happen in chemistry too! When two things react with each other, sometimes they give off heat as they combine. That's called an exothermic process. It's like a chemical reaction that's so excited to happen that it puts out some extra energy in the form of heat.
Sometimes, though, a chemical reaction needs heat to happen in the first place. That's called an endothermic process (the opposite of exothermic). It's like when you need to light a fire to make something happen.
So, if we're talking about an exothermic process, we're basically saying that two things are combining and giving off heat - like if you mixed baking soda and vinegar and felt the container get warm. Pretty cool, right?