2. Key Concept: Negative Exponents Example 1: Use Positive Exponents
Main Idea
Key Concept: Negative Exponents
Example 1: Use Positive Exponents
Example 2: Use Positive Exponents
Example 3: Use Negative Exponents
Example 4: Use Negative Exponents
Example 5: Perform Operations with Exponents
Example 6: Perform Operations with Exponents
Example 7: Real-World Example
Lesson Menu

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

4. Key Concept

5. Use Positive Exponents
Write 7 –4 using a positive exponent.
Definition of a negative exponent
Answer:
Example 1

6. Write 3 –3 using a positive exponent.B. C. D.
Example 1 CYP

7. Use Positive Exponents
Write y –8 using a positive exponent.
Definition of a negative exponent
Answer:
Example 2

8. Write x –4 using a positive exponent.B. C. D.
Example 2 CYP

9. Use Negative Exponents
Write using a negative exponent.
Definition of exponent
= 10 –2 Definition of a negative exponent
Answer: 10 –2
Example 3

10. Write using a negative exponent.
B. 2–4
C. 2–3
D. 2–2
Example 3 CYP

11. Use Negative Exponents
Write using a negative exponent.
Definition of exponent
= m –9 Definition of a negative exponent
Answer: m –9
Example 4

12. Write using a negative exponent.
A. x –5
B. –x –5
C. x –6
D. –x –6
Example 4 CYP

13. Perform Operations with Exponents
Simplify x 5 • x –8.
Method 1 Quotient of Powers
x 5 • x –8 = x 5 + (–8)
= x– 3
Example 5

14. Perform Operations with Exponents
Method 2 Definition of Power
Answer: x –3
Example 5

15. Simplify y 10 • y –16.
A. y –26
B. y –6
C. y 26
D. y 6
Example 5 CYP

16. Perform Operations with Exponents
Simplify
Method 1 Quotient of Powers
= d 3
Example 6

17. Perform Operations with Exponents
Method 2 Definition of Power
Answer: d 3
Example 6

18. Simplify
A. r
B. r 7
C. r –1
D. –r –7
Example 6 CYP

19. The digit 1 is in the billionths place.
WAVELENGTHS Nanometers are often used to measure wavelengths. 1 nanometer = meter. Write the decimal as a power of 10.
The digit 1 is in the billionths place.
Write the decimal as a fraction.
1,000,000,000 = 109
Definition of a negative exponent
Answer: A nanometer is 10 –9 meter.
Example 7

20. A picometer is a unit of measurement that is even smaller than a nanometer. 1 picometer = meter. Write the decimal as a power of 10.
A. 10 –10 meter
B. 10 –11 meter
C. 10 –12 meter
D. 10 –15 meter
Example 7 CYP