Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 15
Exponents and powers worksheets — Class 7 and 8
Free exponents and powers worksheets for Class 7 and 8: find the value, expand, write as a power, and the laws of exponents — with answers.
💡 Learn it first
2⁵ means 2 × 2 × 2 × 2 × 2 = 32. 2 is the base , 5 the exponent (power). Laws : aᵐ × aⁿ = aᵐ⁺ⁿ; aᵐ ÷ aⁿ = aᵐ⁻ⁿ; (aᵐ)ⁿ = aᵐⁿ; a⁰ = 1.To write 81 as a power of 3, keep dividing: 81 → 27 → 9 → 3 → 1 (4 times) → 3⁴.
Find the value (Class 7) Expand (Class 7) Write as a power (Class 7) Laws of exponents (Class 7–8)
Find the value Class 7 · Worksheet 1 · set 15
Name: Date: Score: / 12
Find the value.
9² = 7² = 2⁵ = 10² = 3² = 4³ = 10³ = 8² = 7³ = 3⁷ = 6³ = 6² =
✅ Answer key — Find the value
81 49 32 100 9 64 1000 64 343 2187 216 36 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 15
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 4⁵ Expand and find the value: 4³ Expand and find the value: 4⁴ Expand and find the value: 2⁵ Expand and find the value: 3⁴ Expand and find the value: 2³ Expand and find the value: 3³ Expand and find the value: 4²
✅ Answer key — Expand
4 × 4 × 4 × 4 × 4 = 1024 4 × 4 × 4 = 64 4 × 4 × 4 × 4 = 256 2 × 2 × 2 × 2 × 2 = 32 3 × 3 × 3 × 3 = 81 2 × 2 × 2 = 8 3 × 3 × 3 = 27 4 × 4 = 16 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 15
Name: Date: Score: / 10
Write as a power.
Write 243 as a power of 3. Write 2401 as a power of 7. Write 25 as a power of 5. Write 36 as a power of 6. Write 625 as a power of 5. Write 9 as a power of 3. Write 49 as a power of 7. Write 64 as a power of 4. Write 27 as a power of 3. Write 256 as a power of 4.
✅ Answer key — Write as a power
3⁵ 7⁴ 5² 6² 5⁴ 3² 7² 4³ 3³ 4⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 15
Name: Date: Score: / 12
Write each as a single power.
9⁶ ÷ 9⁵ 6⁷ × 6⁴ 6⁸ × 6² (5⁹)⁴ 4⁸ ÷ 4⁴ 7⁸ × 7² (3⁸)³ (4⁵)⁴ (6⁷)⁴ (2⁴)² 3⁸ × 3⁵ 9⁵ × 9⁶
✅ Answer key — Laws of exponents
9¹ 6¹¹ 6¹⁰ 5³⁶ 4⁴ 7¹⁰ 3²⁴ 4²⁰ 6²⁸ 2⁸ 3¹³ 9¹¹ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Questions
What is any number to the power 0? 1 — for example 5⁰ = 1, because 5³ ÷ 5³ = 5⁰ and also = 1.
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How do I get different questions? Press “🔄 New set” — the questions change (maths numbers are new every time; English sentences are shuffled).
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Can my child do this worksheet online, like a quiz? Yes — press “▶️ Practise online” on any worksheet. The questions come one at a time with instant marking, a score at the end and a review of mistakes. No sign-in is needed.
