Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 32
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 32
Name: Date: Score: / 12
Find the value.
9³ = 3³ = 5⁴ = 2² = 2⁷ = 2⁶ = 9² = 3⁶ = 3⁴ = 6³ = 3² = 10³ =
✅ Answer key — Find the value
729 27 625 4 128 64 81 729 81 216 9 1000 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 32
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 4³ Expand and find the value: 6⁵ Expand and find the value: 6⁴ Expand and find the value: 2² Expand and find the value: 3² Expand and find the value: 3³ Expand and find the value: 3⁵ Expand and find the value: 2³
✅ Answer key — Expand
4 × 4 × 4 = 64 6 × 6 × 6 × 6 × 6 = 7776 6 × 6 × 6 × 6 = 1296 2 × 2 = 4 3 × 3 = 9 3 × 3 × 3 = 27 3 × 3 × 3 × 3 × 3 = 243 2 × 2 × 2 = 8 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 32
Name: Date: Score: / 10
Write as a power.
Write 36 as a power of 6. Write 625 as a power of 5. Write 343 as a power of 7. Write 49 as a power of 7. Write 128 as a power of 2. Write 64 as a power of 4. Write 32 as a power of 2. Write 2187 as a power of 3. Write 25 as a power of 5. Write 125 as a power of 5.
✅ Answer key — Write as a power
6² 5⁴ 7³ 7² 2⁷ 4³ 2⁵ 3⁷ 5² 5³ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 32
Name: Date: Score: / 12
Write each as a single power.
3⁸ × 3² 9⁸ × 9⁴ 6⁸ ÷ 6⁶ 7⁵ × 7³ (9⁶)² (9⁸)² 6⁶ ÷ 6⁵ 8⁸ ÷ 8³ 7² × 7⁶ (4⁷)⁴ 3² × 3⁵ 9⁵ × 9²
✅ Answer key — Laws of exponents
3¹⁰ 9¹² 6² 7⁸ 9¹² 9¹⁶ 6¹ 8⁵ 7⁸ 4²⁸ 3⁷ 9⁷ 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.
