What are the rules of exponentials?

Answer 1

The main rules used in manipulating exponential functions are:

bx+y = (bx)(by)
bxy = (bx)y
b0 = 1
b-x = 1/(bx)

Answer 2

(a^n) * (a^m) = a^(m + n)
(a^n)^m = a^(mn)
(a^n)/(a^m) = a^(n - m)
(a^2)(b^2) = (ab)^2
a^0 = 1
0^x = 0
a^1 = a

Answer 3

go to class; stay awake.

Read your text book

Quit cheating your parents and yourself...
do your own homework!

Answer 4

are you referring to logs as well? these are all the one I know...

if y=e^x
[dy/dx] = e^x as well

integrating y=e^x gives e^x+C

log (ab) = log a + log b
log (a/b) = log a - log b
log (a^b) = b * log a
log (base a) b = (log (base c) b)/(log (base c) a)