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

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

Key Concept

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

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

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

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

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

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

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

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

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

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

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

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

Use Negative Exponents SCIENCE A grain of salt weighs about 0.0001 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

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

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

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

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

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