Lesson Menu 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

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

Key Concept

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

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

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

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

Example 3 Evaluate Expressions with Negative Exponents Evaluate 5 –2. Definition of negative exponent Answer: 5 5 = 5 5 or 25

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

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

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

Example 5 Write Expressions using Negative Exponents Write as an expression using a negative exponent. 9 = 3 2 Answer: 3 –2 = 3 –2 Definition of negative exponent

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

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

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

Example 7 Use Negative Exponents SCIENCE A grain of salt weighs about gram. Write the decimal as a power of 10. Write the decimal as a fraction. = 10 –4 Definition of negative exponent 10,000 = 10 4 Answer:A grain of salt weighs about 10 –4 gram.

Example 7 CYP A.10 3 B.10 2 C.10 –2 D.10 –3 FISH A sea horse travels about 0.01 mile per hour. Write the decimal as a power of 10.

Example 8 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 CYP Simplify x 4 x –6. Express using positive exponents. A.x 10 B.x 2 C. D.

Example 9 Multiply and Divide with Negative Exponents Simplify. Express using positive exponents. Quotient of Powers = c 2 Subtract the exponents. Answer:c 2

Example 9 CYP Simplify. Express using positive exponents. A.8 12 B.8 6 C. D.