Converting Between Fahrenheit and Celsius: A Step-by-Step Guide
6-8
2
Rules of Exponents, Part 1: Mastering the Core Laws
Lesson Details
Grade Level
6-8
Duration (minutes)
2
Summary
Grade 6-8 students learn the four core rules of exponents: the Product Rule (add exponents when multiplying same-base powers), the Quotient Rule (subtract exponents when dividing), the Power Rule (multiply exponents when raising a power to a power), and the Zero Exponent Rule (any nonzero base to the power of zero equals 1) — each demonstrated with a fully worked numeric example. Part 2 continues with negative exponents and two additional rules.
Student Worksheet: Rules of Exponents, Part 1
Teacher Note: Students can watch the video lesson above and answer the questions. Click the “Teacher Answer Key” dropdown below when you are ready to review the solutions!
Key Concepts:
• Product Rule: When multiplying powers with the same base, add the exponents.
• Quotient Rule: When dividing powers with the same base, subtract the exponents.
• Power Rule: When raising a power to another power, multiply the exponents.
• Zero Exponent Rule: Any nonzero number raised to the power of zero equals 1.
Instructions: Read each question carefully and write your answer in the space provided.
- Question 1: Simplify: 3² · 3⁴
- Question 2: Simplify: 5⁶ ÷ 5²
- Question 3: Simplify: (2³)²
- Question 4: What does 9⁰ equal?
- Question 5: Which rule would you use to simplify 7³ · 7⁵? Explain your answer without solving.
- Question 6: Simplify on your own: 4⁵ ÷ 4²
Click to reveal Teacher Answer Key
1. 3⁶ = 729 (add the exponents: 2 + 4 = 6)
2. 5⁴ = 625 (subtract the exponents: 6 – 2 = 4)
3. 2⁶ = 64 (multiply the exponents: 3 × 2 = 6)
4. 1
5. The Product Rule, because the bases are the same and the powers are being multiplied; add the exponents (3 + 5 = 8) to get 7⁸.
6. 4³ = 64 (subtract the exponents: 5 – 2 = 3)
Disclaimer: This worksheet was generated with AI assistance based on original video content. It is intended for educational reference only. Teachers are encouraged to review and adjust questions to fit their curriculum standards before classroom use.
🎯 Extension Activity: Create your own example for each of the four rules using different numbers, then swap with a classmate and solve each other's problems. Ready for more? Continue to Part 2, covering the Negative Exponent, Power of a Product, and Power of a Quotient rules.