Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 37
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 37
Name: Date: Score: / 12
Find the value.
9³ = 10² = 3⁴ = 8³ = 4⁴ = 5⁴ = 2⁴ = 3⁷ = 6³ = 7² = 8² = 7³ =
✅ Answer key — Find the value
729 100 81 512 256 625 16 2187 216 49 64 343 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 37
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 2³ Expand and find the value: 4² Expand and find the value: 5⁴ Expand and find the value: 6⁵ Expand and find the value: 6³ Expand and find the value: 6⁴ Expand and find the value: 2² Expand and find the value: 6²
✅ Answer key — Expand
2 × 2 × 2 = 8 4 × 4 = 16 5 × 5 × 5 × 5 = 625 6 × 6 × 6 × 6 × 6 = 7776 6 × 6 × 6 = 216 6 × 6 × 6 × 6 = 1296 2 × 2 = 4 6 × 6 = 36 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 37
Name: Date: Score: / 10
Write as a power.
Write 625 as a power of 5. Write 343 as a power of 7. Write 125 as a power of 5. Write 64 as a power of 4. Write 49 as a power of 7. Write 36 as a power of 6. Write 2187 as a power of 3. Write 16 as a power of 4. Write 64 as a power of 2. Write 243 as a power of 3.
✅ Answer key — Write as a power
5⁴ 7³ 5³ 4³ 7² 6² 3⁷ 4² 2⁶ 3⁵ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 37
Name: Date: Score: / 12
Write each as a single power.
6⁷ ÷ 6⁶ 9⁶ × 9² 3⁹ ÷ 3⁶ (9⁶)³ 4⁷ × 4⁵ 5⁸ ÷ 5⁴ 7⁵ ÷ 7⁴ 4³ × 4² (2⁸)⁴ 2⁵ × 2⁵ 9² × 9⁵ (5⁶)²
✅ Answer key — Laws of exponents
6¹ 9⁸ 3³ 9¹⁸ 4¹² 5⁴ 7¹ 4⁵ 2³² 2¹⁰ 9⁷ 5¹² 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.
Are these worksheets free? Yes — print them or save as PDF free. Every worksheet has an answer key.
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.
