This document discusses division properties of exponents. It states that to divide powers with the same base, subtract the exponents. This follows the power of a quotient property, where if dividing one term by another, the exponent is subtracted rather than added. Examples are provided to simplify division expressions with exponents by subtracting exponents for the same base. Readers are assigned problems on pages 498 to practice these techniques.

1. Division Properties
of Exponents
Section 8.2
Page 495-499

2. • In this section we will look at how to
evaluate and simplify division expressions
with exponents.
6
4 4    
44444
5
4
4 4   
4444
4
2 2 2 2 2 1 1
7 3
2 2 2 2 2 2 2 2 2 8

3. P. 495 – Key Concepts
• What appears to be the rule for quotient of
power?
• To divide powers having the same base,
subtract exponents.
8
a m 3
a m n
,a 0 38 5
33 27
a n
35

4. 10
6
610 3
67
63
6
4
4
4
4 4
7 7
6
7

5. • Power of a Quotient Property
m m
a a
m
,b 0
b b
3 3
2 2
3
3 3

6. Simplify each expression
4
3
2
3
4
2
x

7. Simplify each expression
3 2 2
3x y 12 x y
 3
4x y
2 3
3x
y

8. Simplify each expression
3 4 2
6m n 16m

4n 6mn
2
3
4

9. 10 1
6  3
6

10. • Assignment: P. 498 3-20
• Copy each problem and simplify as
needed. Read the directions to each
part.