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

Write expressions using negative exponents. Main Idea/Vocabulary

Key Concept

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The digit 1 is in the billionths place. 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. Example 7

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. A. 10 –10 meter B. 10 –11 meter C. 10 –12 meter D. 10 –15 meter Example 7 CYP