What I learned about Exponents:

Multiplication…
when you have two powers with the same base you add the exponents then find the answer to the power.

Division…
when dividing with the same base you subtract the exponents and then find the answer to the power.

Multiplying and dividing powers with zero…
when you multiply or divide a power with zero the answer is always 1

B.E.D.M.A.S…
Using bed-mass with powers is pretty straight forward:
Brackets
Exponents
Division
Multiplication
Adding
Subtracting