📐 Part 1: Multiple Choice

Directions: Circle the best answer for each question. Show your work in the space provided.

✏️ Part 2: Step-by-Step Problem Solving

Directions: Show ALL steps clearly. Partial credit may be awarded for correct work.

Step 1: Calculate 2⁵ = _______

Step 2: Calculate √81 = _______

Step 3: Calculate 4⁰ = _______

Final Answer: _______ − _______ + _______ = _______

Step 1: Square r: 3² = _______

Step 2: Multiply by h: _______ × 2 = _______

Final Answer: D = _______ mg

6⁸ ÷ 6³ = ?

Answer: 6⁸ ÷ 6³ = 6^_______ = _______

Rule used: When dividing powers with the same base, ___________________________________

Answer: The side length is _______ feet.

🔑 Reference: Key Rules for Exponents & Roots

Use this section as a quick reference while completing the worksheet.

Product Rule: aᵐ × aⁿ = a^m+n   |   Quotient Rule: aᵐ ÷ aⁿ = a^m−n

Power Rule: (aᵐ)ⁿ = a^m×n   |   Zero Exponent: a⁰ = 1 (when a ≠ 0)

Square Root: √(a²) = a   |   Perfect Squares to Know: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169

📝 Answer Key (Instructor Copy)

1. C (81)  |  2. A (32)  |  3. B (12)  |  4. C (1)  |  5. B (7)  |  6. B (4,096)

7. 32 − 9 + 1 = 24  |  8. 9 × 2 = 18 mg  |  9. 6⁵ = 7,776 (subtract exponents)  |  10. √225 = 15 feet