1. 3-2 Before the Bell
Evaluate.
1. 33 27
2. 4 • 4 • 4 • 4 256
3. b2 for b = 4 16
4. n2r for n = 3 and r = 2 18

2. 3-2
Today’s learning
Target:
I can apply the properties of
exponents.

3. 3-2
The factors of a power, such as 74, can be
grouped in different ways. Notice the
relationship of the exponents in each product.
7 • 7 • 7 • 7 = 74
(7 • 7 • 7) • 7 = 73 • 71 = 74
(7 • 7) • (7 • 7) = 72 • 72 = 74

4. 3-2 Vocabulary
Multiplying Powers with the SAME base
Words Numbers Algebra
Keep the base 35 3 8 bm b n
and add the 35+8 = bm+n
exponents 313

5. 3-2 I’ll show you.
Multiply. Write the product as one power.
A. 66 • 63
66 + 3 Add exponents.
69
B. n5 • n7
n5 + 7 Add exponents.
n 12

6. 3-2 You try it with a partner!
Multiply. Write the product as one power.
C. 25 • 2
25 + 1 Think: 2 = 2 1
26 Add exponents.
D. 244 • 244
24 4 + 4 Add exponents.
24 8

7. 3-2 Try it by yourself.
Multiply. Write the product as one power.
1. 42 • 44
42 + 4 Add exponents.
46

8. 3-2
Notice what occurs when you divide powers
with the same base.
55 5• 5• 5• 5• 5
= = 5 • 5 = 52
53 5• 5• 5

9. 3-2 Vocabulary
Dividing Powers with the SAME base
Words Numbers Algebra
Keep the base 38 = 38-2 = 36 bm = bm-n
and subtract the 32 bn
exponents

10. 3-2 I show you one, then you do one:
Divide. Write the quotient as one power.
5
A. 7
3
7
75 – 3 Subtract exponents.
2
7
10
B. x9
x
x10 – 9 Subtract exponents.
x Think: x1 = x

11. 3-2 Try this one by yourself:
Divide. Write the product as one power.
99
2.
92
99 – 2 Subtract exponents.
97

12. 3-2 Vocabulary
Raising a Power to a Power

13. 3-2 I show you one, then you do one:
Simplify.
A. (54)2
(54)2
54 • 2 Multiply exponents.
58
B. (67)9
(67)9
67 • 9 Multiply exponents.
663

14. 3-2 I show you one, then you do one:
Simplify.
12 –3
C. 2 D. (172)–20
3
(172)–20
Multiply exponents.
Multiply exponents.
2 12 • –3
172 • –20
3
17–40

15. 3-2 Did you master today’s learning target?
Prove it with a three
question quiz.

16. 3-2 Lesson Quiz
Write the product or quotient as one power.
1. n3 × n4 n7 2. 8 • 88 89
109 t9
3. 104 4. t2
105 t7
5. 32 • 33 • 35 310 6. (m2)19 m38
7. (9-8)9 9–72 8. (104)0 1

17. Answers to lesson 3-1

18. 3-2 Assignment:
Section 3-2
Problems 1 – 36 all