Algebraic Laws Y1 Flashcards
1
Q
a^n x a^m =
A
a^(n+m)
2
Q
(a^n)^m =
A
a^nm
3
Q
a^n / a^m =
A
a^(n-m)
4
Q
a^-n =
A
1/a^n
5
Q
a^(1/n) =
A
-a^n
6
Q
a^0 =
A
1
7
Q
If log a n = x, then
A
a^x = n
8
Q
lnxy =
A
lnx + lny
9
Q
ln(x/y) =
A
lnx - lny
10
Q
ln(x^k) =
A
klnx
11
Q
ln(1/x) =
A
-lnx
12
Q
lne =
A
1
13
Q
ln1 =
A
0
14
Q
Factor theorem
A
If f(a) = 0, (x-a) is a factor of f(x)
15
Q
Inequalities rule
A
Negating flips < to >
