The document discusses properties of exponents and evaluating expressions with exponents. It provides examples of simplifying expressions with exponents, including multiplying terms with the same base, raising a power to another power, and properties related to exponents of 0. The document contains warm-up problems, examples, and a quiz to assess understanding of working with exponents.

1. 3-2 Properties of Exponents
Warm Up
Evaluate.
1. 8 x -2 + (-3) ÷ (4 – 1)
2. (4-1)² x 3 – (-4)
3. (-3)² ÷⅓ + (-2)
4. 4 x 2 + 6 ÷ (4 – 2) x 5²

2. 3-2 Properties of Exponents
1. 8 x -2 + (-3) ÷ (4 – 1)

3. 3-2 Properties of Exponents
2. (4-1)² x 3 – (-4)

4. 3-2 Properties of Exponents
3. (-3)² ÷⅓ + (-2)

5. 3-2 Properties of Exponents
4. 4 x 2 + 6 ÷ (4 – 2) x 5²

6. 3-2 Properties of Exponents
Exponents of 0
• Any number with a “0” exponent will equal
what?

7. 3-2 Properties of Exponents

8. 3-2 Properties of Exponents
Multiply. Write the product as one power.
C. x5 • y2
Check It Out: Example 1
D. 412 • 417

9. 3-2 Properties of Exponents

10. 3-2 Properties of Exponents

11. 3-2 Properties of Exponents
Additional Example 3: Raising a Power to a Power
Simplify.
A. (54)2
B. (67)9

12. 3-2 Properties of Exponents
Additional Example 3: Raising a Power to a Power
Simplify.
C. 2 D. (172)–20
3
12 –3

13. 3-2 Properties of Exponents
Simplify.
Check It Out: Example 3
A. (33)4
B. (48)2

14. 3-2 Properties of Exponents
Simplify.
Check It Out: Example 3
C. 1 D. (134)–10
4
11 –2

15. 3-2 Properties of Exponents
Lesson Quiz
Write the product or quotient as one power.
1. n3 ´ n4
3.
109
105
4.
5. 32 • 33 • 35
2. 8 • 88
t9
t7
6. (m2)19
7. (9-8)9 8. (104)0

16. 3-2 Properties of Exponents
Lesson Quiz for Student Response Systems
1. Write the product as one power.
d4 ´ d3
A. d7
B. d12
C. 7d
D. 12d

17. 3-2 Properties of Exponents
Lesson Quiz for Student Response Systems
2. Write the product as one power.
44 ´ 43 ´ 42
A. 49
B. 414
C. 424
D. 4432

18. 3-2 Properties of Exponents
Lesson Quiz for Student Response Systems
3. Write the product as one power.
(10–1)0
A. 10–10
B. 0
C. 1
D. 10