RULES FOR EXPONENTS
(all numbers below must be real)
14) (Binomial Theorem)
(a + b)
2
= a
2
+ 2ab + b
2
(a + b)
3
= a
3
+ 3a
2
b + 3ab
2
+ b
3
(a + b)
4
= a
4
+ 4a
3
b + 6a
2
b
2
+ 4ab
3
+ b
4
and more similar formulas
RULES FOR LOGARITHMS
corresponding to (1), (2), (3) above
15)
(ab) =
a +
b
16)
(
a
b
)
=
a -
b
17)
(a
n
) = n
a
18)
(e
x
) = e
x
=
x
(ab) = 
