Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 22
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.
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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 22
Name: Date: Score: / 12
Find the value.
9² = 5² = 2⁴ = 2⁵ = 3² = 4⁴ = 8² = 8³ = 4² = 3⁷ = 10³ = 3⁴ =
✅ Answer key — Find the value
81 25 16 32 9 256 64 512 16 2187 1000 81 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 22
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 6³ Expand and find the value: 2⁴ Expand and find the value: 2² Expand and find the value: 2³ Expand and find the value: 3⁵ Expand and find the value: 4² Expand and find the value: 3⁴ Expand and find the value: 6²
✅ Answer key — Expand
6 × 6 × 6 = 216 2 × 2 × 2 × 2 = 16 2 × 2 = 4 2 × 2 × 2 = 8 3 × 3 × 3 × 3 × 3 = 243 4 × 4 = 16 3 × 3 × 3 × 3 = 81 6 × 6 = 36 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 22
Name: Date: Score: / 10
Write as a power.
Write 16 as a power of 4. Write 343 as a power of 7. Write 64 as a power of 2. Write 25 as a power of 5. Write 9 as a power of 3. Write 64 as a power of 4. Write 2401 as a power of 7. Write 27 as a power of 3. Write 243 as a power of 3. Write 32 as a power of 2.
✅ Answer key — Write as a power
4² 7³ 2⁶ 5² 3² 4³ 7⁴ 3³ 3⁵ 2⁵ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 22
Name: Date: Score: / 12
Write each as a single power.
3⁸ × 3² 8⁴ × 8⁴ 6⁸ ÷ 6⁶ 4⁷ × 4⁵ 8³ ÷ 8² 7⁷ ÷ 7³ 5⁷ × 5³ 6⁴ ÷ 6² (9³)² 4⁵ × 4⁶ 4⁷ × 4² 4² × 4⁴
✅ Answer key — Laws of exponents
3¹⁰ 8⁸ 6² 4¹² 8¹ 7⁴ 5¹⁰ 6² 9⁶ 4¹¹ 4⁹ 4⁶ 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.
