How do you take a set to the the power to another set? For example, if A = {0, 1, 2} and B = {a, b}, then what is A^B?
This is very standard notation. It is surely in your textbook and/or lecture notes.
The notation is the set of all functions from the set to the set .
That means that if then .
If stands for the cardinally of set then .
One needs to be careful with that. For finite sets this makes sense, but for infinite sets we actually define where and so the logic is a little backwards.