1. Rules of Multiplication
The Laws of Exponents
Rules of Multiplication

2. Introduction We know that a2 = a x a a3= a x a x a
So when we multiply a2 and a3, we get
a 2 x a 3
a x a x a x a x a ( we have a repeated 5 times)
= a5
To make it easier we apply the rule of Multiplication.

3. Multiplication of Exponents:
Rule 1: When multiplying two exponents, the bases are same
and the following rule is applied
By applying rules of multiplication Xm.Xn=Xm+n (we are adding the power)
Base is same (X)
Xm.Xn

4. By applying rules of multiplication 63.62=63+2=65
Examples
By applying rules of multiplication 63.62=63+2=65
(We are adding the powers)
63.62
Base is same (6)
By applying rules of Multiplication
36.32=36+2=38
(we are adding the power )
36.32
Base is same (3)
(-3)7.(-3)2
By applying rules of Multiplication
(-3)7.(-3)2=(-3)7+2=(-3)9
(we are adding the power )
Base is same (-3)
By applying rules of Multiplication
m4.m2=m4+2=m6
(we are adding the power )
m4.m2
Base is same (m)

5. Base are not same (2,3) 25.32 (-4)4.43 Base are not same (-4,4)
So we cannot apply the rules
(-4)4.43
Base are not same
(-4,4)
So we cannot apply the rules

6. Try these
92 • 94
(- 5)5 • 57
(- x)2 • y3
(-4)6 •(- 4)3