Exponents Worksheet
Name: _________________________ Date: _______________
Part 1: Basic Exponents
- Write the following in exponential form:
- a) 3 × 3 × 3 × 3 = ___________
- b) 7 × 7 = ___________
- c) 2 × 2 × 2 × 2 × 2 × 2 = ___________
- d) 5 × 5 × 5 = ___________
- Evaluate the following:
- a) 2³ = ___________
- b) 4² = ___________
- c) 10¹ = ___________
- d) 3⁴ = ___________
- e) 1⁸ = ___________
- f) 6² = ___________
Part 2: Multiplication of Exponents (Same Base)
- Simplify the following using the rule aᵐ × aⁿ = aᵐ⁺ⁿ:
- a) 2² × 2³ = ___________
- b) 5¹ × 5⁴ = ___________
- c) x³ × x⁵ = ___________
- d) a² × a⁷ = ___________
- Evaluate after simplifying:
- a) 3² × 3¹ = ___________
- b) 2⁴ × 2² = ___________
Part 3: Division of Exponents (Same Base)
- Simplify the following using the rule aᵐ ÷ aⁿ = aᵐ⁻ⁿ:
- a) 5⁵ ÷ 5² = ___________
- b) 7⁶ ÷ 7³ = ___________
- c) x⁸ ÷ x⁴ = ___________
- d) a⁹ ÷ a⁶ = ___________
- Evaluate after simplifying:
- a) 2⁵ ÷ 2³ = ___________
- b) 3⁴ ÷ 3² = ___________
Part 4: Power of a Power
- Simplify the following using the rule (aᵐ)ⁿ = aᵐ ˣ ⁿ:
- a) (2³) ² = ___________
- b) (5²) ⁴ = ___________
- c) (x⁴) ³ = ___________
- d) (a⁵) ² = ___________
- Evaluate after simplifying:
- a) (3²) ² = ___________
- b) (2³) ³ = ___________
Part 5: Zero and Negative Exponents
- Evaluate:
- a) 6⁰ = ___________
- b) 12⁰ = ___________
- c) x⁰ = ___________ (where x ≠ 0)
- d) 5⁻¹ = ___________
- e) 2⁻³ = ___________
- f) 10⁻² = ___________
- Simplify and then evaluate if possible.
- a) 4³ × 4⁻¹ = ___________
- b) 3⁻² × 3⁴ = ___________
Answer Key:
Part 1: Basic Exponents
- a) 3⁴
- b) 7²
- c) 2⁶
- d) 5³
- a) 8
- b) 16
- c) 10
- d) 81
- e) 1
- f) 36
Part 2: Multiplication of Exponents (Same Base)
- a) 2⁵
- b) 5⁵
- c) x⁸
- d) a⁹
- a) 27
- b) 64
Part 3: Division of Exponents (Same Base)
- a) 5³
- b) 7³
- c) x⁴
- d) a³
- a) 4
- b) 9
Part 4: Power of a Power
- a) 2⁶
- b) 5⁸
- c) x¹²
- d) a¹⁰
- a) 81
- b) 512
Part 5: Zero and Negative Exponents
- a) 1
- b) 1
- c) 1
- d) 1/5
- e) 1/8
- f) 1/100
- a) 4² = 16
- b) 3² = 9
อยากได้แบบฝึกหัดฟรีนับพัน (ไม่มีสิ่งรบกวนเลย)?
Switch to New Search Page
