A number of the form am where a is a real number, a is multiplied by itself m times
The number a is called the base and the super script m is called the index (plural indices) or exponent.
- A m x A n = Am + n ——————–Multiplication law
Example: X3 x X2 =( X x X x X) x (X x X) = X 5
Or X3 x X2 = X3 + 2 = X5
- Am ÷ An=Am-n ———————Division law
Example: X6 ÷ X4 = X6-4 = X2
- (a m )n = amn —————-Power law
Example: (x3)2 = X3 x X3 = X3+3 =X6
Or X3X2 = X6
- am ÷ am = am-m = a0 =1
am ÷am = am/am = ao = 1
a0………………………………….Zero Index
:. Any number raised to power zero is 1
Example: 3o = 1, co = 1, yo = 1
- (ab)m =ambm ————-Product power law
e.g. (2xy)2= 4x2y2
- Negative index
a –m = 1/am ————- Negative Index
Example: 2 -1 = ½, and 3 -2 = 1/3 2 = 1/9
- a1/n =n√a ————–Root power law
Example : 9 ½ =√9=3
27 1/3 =3√27 = 3 ie (3)3 = 3
- a m/n = (a 1/n) m = (n√a)m ———–Fraction Index
or a m/n = (am) 1/n = (n√a)m
Example : 272/3 = 3√27=32=9.
EVALUATION
- 275/3 2. 10000000000
https://www.slideshare.net/slideshow/embed_code/key/LudAbbd8wQjtuQLaws of indices from JJkedst