One algebra one question.

Simplify 4^8/4^2

4^10
4^4
4^6
4^8 - 4^2

4^8/4^2

= 4^8 * 4^(-2)

= 4^(8-2)

= 4^6

4^6
division you subtract exponents (10^6 / 10^3 = 10^3)
multiplication you add exponents (10^6 x 10^3 = 10^9)

whenever you have something to the power of something with the same base, you subtract the powers
so 8-2 is 6
4^6 is correct

4^6 which would be 4096

4^8
-------
4^2

4^6