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Published byVěra Vaňková Modified over 5 years ago
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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
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Write expressions using negative exponents.
Main Idea/Vocabulary
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Key Concept
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Use Positive Exponents
Write 7 –4 using a positive exponent. Definition of a negative exponent Answer: Example 1
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Write 3 –3 using a positive exponent.
B. C. D. Example 1 CYP
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Use Positive Exponents
Write y –8 using a positive exponent. Definition of a negative exponent Answer: Example 2
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Write x –4 using a positive exponent.
B. C. D. Example 2 CYP
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Use Negative Exponents
Write using a negative exponent. Definition of exponent = 10 –2 Definition of a negative exponent Answer: 10 –2 Example 3
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Write using a negative exponent.
B. 2–4 C. 2–3 D. 2–2 Example 3 CYP
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Use Negative Exponents
Write using a negative exponent. Definition of exponent = m –9 Definition of a negative exponent Answer: m –9 Example 4
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Write using a negative exponent.
A. x –5 B. –x –5 C. x –6 D. –x –6 Example 4 CYP
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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
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Perform Operations with Exponents
Method 2 Definition of Power Answer: x –3 Example 5
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Simplify y 10 • y –16. A. y –26 B. y –6 C. y 26 D. y 6 Example 5 CYP
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Perform Operations with Exponents
Simplify Method 1 Quotient of Powers = d 3 Example 6
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Perform Operations with Exponents
Method 2 Definition of Power Answer: d 3 Example 6
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Simplify A. r B. r 7 C. r –1 D. –r –7 Example 6 CYP
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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
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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
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