Grade 8 Exponents
Grade 8 exponents practice. Lessons, examples, and exercises aligned to grade 8 standards.
Example Questions
Q1. Simplify: 2³ × 2⁵
Answer: 2⁸ = 256
Q2. Write 0.00045 in scientific notation
Answer: 4.5 × 10⁻⁴
Skills Assessed
- Base and exponent: in 5³, the base is 5 and the exponent is 3
- 5³ = 5 × 5 × 5 = 125 (base multiplied by itself exponent times)
- Any number to the 0 power equals 1: n⁰ = 1
- Any number to the 1st power equals itself: n¹ = n
- Product rule: aᵐ × aⁿ = aᵐ⁺ⁿ
Common Mistakes
- Multiplying base × exponent instead of repeated multiplication (2³ ≠ 6, it equals 8)
- Thinking x⁰ = 0 (it equals 1 for any non-zero x)
- Confusing 2³ (= 8) with 3² (= 9) — order matters
- Adding exponents when bases are different (2³ × 3² ≠ 6⁵)
- Forgetting negative signs: (-3)² = 9, but -3² = -9
Difficulty Balance
Recommended structure for classroom reliability: 5 easy, 3 medium, and 2 hard questions, adapted to grade 8 expectations.
Answer Key Explanation
Every downloadable test includes a separate answer key page with clear worked steps, so teachers can grade quickly and give precise feedback.
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