1. 3 WARM UP EVALUATING NUMERICAL EXPRESSIONS 35 82 – 17 53 + 12
2(33 – 20)

2. 2 WARM UP EVALUATING NUMERICAL EXPRESSIONS 35 82 – 17 53 + 12
2(33 – 20)

3. 1 WARM UP EVALUATING NUMERICAL EXPRESSIONS 35 82 – 17 53 + 12
2(33 – 20)

4. WARM UP
EVALUATING NUMERICAL EXPRESSIONS 35
82 – 17
2(33 – 20)

5. 8.1 Multiplication Properties of Exponents
GOAL
Use multiplication properties of exponents
KEY WORDS
Power
Base
exponent

6. 8.1 Multiplication Properties of Exponents
EXPONENTIAL TERMS xy
exponent
base

7. 8.1 Multiplication Properties of Exponents
A base raised to an exponent means the base multiplied by itself to the number of copies represented by the exponent. 24
=2·2·2·2
=16

8. 8.1 Multiplication Properties of Exponents
PRODUCT OF POWERS
To multiply powers that have the same base, you ADD the exponents.
This property is called the
Product of Powers Property.
a2 · a3
= a · a · a · a · a
= a5 (a 2+3)

9. 8.1 Multiplication Properties of Exponents
Write the expression as a single power of the base.
a) 53 · 56
b) -2(-2) 4
c) x2 · x3 · x4

10. 8.1 Multiplication Properties of Exponents
Write the expression as a single power of the base.
a) 42 · 43
b) (-3)(-3) 2
c) a · a7
d) n5 · n2 · n3

11. 8.1 Multiplication Properties of Exponents
POWER OF A POWER
To find a power of a power, you multiply the exponents.
This property is called the
Power of a Power Property.
(a2)3
= a2 · a2 · a2
= a 2+2+2
=a6

12. 8.1 Multiplication Properties of Exponents
Write the expression as a single power of the base.
a) (33)2
b) (p4)4
c) (44)3

13. 8.1 Multiplication Properties of Exponents
Write the expression as a single power of the base.
a) [(-3)5]2
b) (n4)5
c) (x3)3