Learning Task 1
Simplify by writing in exponential form
1. 2(2)(2)(2)(2)(2) 26
Write in expanded form
(2x)4 = (2x) (2x)(2x)(2x)
2. (3a) (3a)(3a) (3a) =
(xy)?
3. (-4)(-4)(-4)(-4)(-4) =
(-ab)6
Exponents have its own rule in performing mathematical operations.
The Laws of Exponents
1. Product Law of Exponent.
Any numbers m and integers x and y, m.my=m*+j'
The base must be the same before you can add the exponents.
Example: b2b) =(6.b)(b-b-b}=5$
Similarly: b2.0 = 62+3 = b
Quotient Law of Exponents
Any numbers m and integers x and y,
= x-y, if x >y b ** = ***** = 1, if x = y
m
a.
if xay
m
Examples:
as alia
=a'a.a = as similarly
b.
a3
= 1 similariv
a
a?
Any number raised to zero
1
is always equal to 1
1
a
aia
1
1
c.
simuary
at
Q&Q​