1. Chapter 8
Exponents
8.1 Apply Exponent Properties
Involving Products
P. 489

2. Take a look at page 488
What patterns can you see from these
examples?
What conclusions can you draw?

3. • This chapter will introduce you to the
different properties of exponents. We
will look at
1. Multiplication Properties
2. Division Properties
3. Zero and Negative Exponents
4. Scientific Notation

4. • Let’s look at the multiplication properties.
When multiplying two powers that have the
same base, you see:
3 4
a a aaa  aaaa
3 4 7
So a a a

5. P. 489 – Key Concept
• Product of Powers Property
To multiply powers having the
same base, add the exponents.
m n m n
a a a
3 7 10
33 3

6. 4
xx
4 5 6
y y y
3 10
2 2 2
4
( 5) ( 5)

7. P. 490 Key Concept
• Power of a Power Property
• To find a power of a power, multiply the
exponents.
m n m n
(a ) a
2 4 2 4 8
(5 ) 5 5

8. 2 3
(5 )
3 6
(x )
3 4
[( 2) ]

9. P. 490 – Key Concept
• Power of a Product Property
To find the power of a product, find the power of
each factor and multiply.
m m m
(a )
b a b
2 2 2
(65) 6 5
3625
900

10. 2
(34)
3
(3xy )
2
( 3 y)
2
(3 y )

11. Using All Three Properties
2 3 5
(4 x y ) x
3 2 2 4 5
(2 x y ) x y

12. Simplify
3 2 3 4
( 10 x ) ( x )

13. • Assignment P. 492 #3 - 30
• Copy each problem, then simplify