2. Key Concept: Zero and Negative Exponents
Main Idea
Key Concept: Zero and Negative Exponents
Example 1: Write Expressions using Positive Exponents
Example 2: Write Expressions using Positive Exponents
Example 3: Evaluate Expressions with Negative Exponents
Example 4: Evaluate Expressions with Negative Exponents
Example 5: Write Expressions using Negative Exponents
Example 6: Write Expressions using Negative Exponents
Example 7: Real-World Example: Use Negative Exponents
Example 8: Multiply and Divide with Negative Exponents
Example 9: Multiply and Divide with Negative Exponents
Lesson Menu

3. Write and evaluate expressions using negative exponents.
Main Idea/Vocabulary

4. Key Concept

5. Write Expressions using Positive Exponents
Write 4–4 using a positive exponent.
Definition of negative exponent
Answer:
Example 1

6. Write 5–7 using a positive exponent.
B. 57 C. D.
Example 1 CYP

7. Write Expressions using Positive Exponents
Write c–7 using a positive exponent.
Definition of negative exponent
Answer:
Example 2

8. Write r–8 using a positive exponent.
A. r8
B. –r8 C. D.
Example 2 CYP

9. Evaluate Expressions with Negative Exponents
Definition of negative exponent
55 = 5 • 5 or 25
Answer:
Example 3

10. Evaluate 4–5.
A. –20 B. C. D.
Example 3 CYP

11. Evaluate Expressions with Negative Exponents
Definition of negative exponent
(–8)2 = (–8)(–8) or 64
Answer:
Example 4

12. Evaluate (–5)–3.
A. –125 B. C.
D. 125
Example 4 CYP

13. Write Expressions using Negative Exponents
Write as an expression using a negative exponent.
9 = 32
= 3–2 Definition of negative exponent
Answer: 3–2
Example 5

14. Write as an expression using a negative exponent.B.
C. 7–2
D. 72
Example 5 CYP

15. Write Expressions using Negative Exponents
Write as an expression using a negative exponent.
Definition of negative exponent
Answer: f –5
Example 6

16. Write as an expression using a negative exponent.
A. m–6
B. –m6 C. D.
Example 6 CYP

17. Use Negative Exponents
SCIENCE A grain of salt weighs about gram. Write the decimal as a power of 10.
Write the decimal as a fraction.
10,000 = 104
= 10–4 Definition of negative exponent
Answer: A grain of salt weighs about 10–4 gram.
Example 7

18. FISH A sea horse travels about 0. 01 mile per hour
FISH A sea horse travels about 0.01 mile per hour. Write the decimal as a power of 10.
A. 103
B. 102
C. 10–2
D. 10–3
Example 7 CYP

19. Multiply and Divide with Negative Exponents
Simplify a–5 • a–3. Express using positive exponents.
a–5 • a–3 = a–5 + (–3) Product of Powers
= a–8 Add the exponents.
Definition of negative exponents
Answer:
Example 8

20. Simplify x4 • x–6. Express using positive exponents.
A. x10
B. x2 C. D.
Example 8 CYP

21. Multiply and Divide with Negative Exponents
Simplify Express using positive exponents.
Quotient of Powers
= c2 Subtract the exponents.
Answer: c2
Example 9

22. Simplify . Express using positive exponents.
A. 812
B. 86 C. D.
Example 9 CYP