Lesson Menu Main Idea Key Concept:Negative Exponents Example 1:Use Positive Exponents Example 2:Use...
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Transcript of Lesson Menu Main Idea Key Concept:Negative Exponents Example 1:Use Positive Exponents Example 2:Use...
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
• Write expressions using negative exponents.
Use Positive Exponents
Write 7
–4 using a positive exponent.
Definition of a negative exponent
Answer:
Write 3
–3 using a positive exponent.
A.
B.
C.
D.
Write y
–8 using a positive exponent.
Use Positive Exponents
Definition of a negative exponent
Answer:
Write x
–4 using a positive exponent.
A.
B.
C.
D.
Use Negative Exponents
Write using a negative exponent.
Definition of exponent
= 10
–2 Definition of a negative exponent
Answer: 10
–2
A. 4–2
B. 2–4
C. 2–3
D. 2–2
Write using a negative exponent.
Use Negative Exponents
Write using a negative exponent.
Definition of exponent
= m
–9 Definition of a negative exponent
Answer: m
–9
A. x
–5
B. –x
–5
C. x
–6
D. –x
–6
Write using a negative exponent.
Perform Operations with Exponents
Simplify x
5 • x
–8.
Method 1 Quotient of Powers
x
5 • x
–8 = x
5 + (–8)
= x–
3
Perform Operations with Exponents
Answer: x
–3
Method 2 Definition of Power
A. y
–26
B. y
–6
C. y
26
D. y
6
Simplify y
10 • y
–16.
Perform Operations with Exponents
Simplify .
Method 1 Quotient of Powers
= d
3
Perform Operations with Exponents
Answer: d
3
Method 2 Definition of Power
A. r
B. r
7
C. r –1
D. –r –7
Simplify .
WAVELENGTHS Nanometers are often used to measure wavelengths. 1 nanometer = 0.000000001 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.
A. 10
–10 meter
B. 10
–11 meter
C. 10
–12 meter
D. 10
–15 meter
A picometer is a unit of measurement that is even smaller than a nanometer. 1 picometer = 0.000000000001 meter. Write the decimal as a power of 10.
