What pattern do you see when multiplying two powers with the same base?

For example when two numbers are multiplied such that they have the same base a and the exponents are x and y, so the base is simply copied and the exponents are added. To illustrate:

a^x * a^y

a^(x + y)

step-by-step explanation:

4227473658779875563886538705958641728563470543621287463824132573847969p05749365273847906970680574936214