Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 41
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 41
Name: Date: Score: / 12
Find the value.
6² = 4² = 2³ = 3³ = 8³ = 10³ = 7³ = 5² = 5⁴ = 3⁷ = 5³ = 8² =
✅ Answer key — Find the value
36 16 8 27 512 1000 343 25 625 2187 125 64 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 41
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 2³ Expand and find the value: 6³ Expand and find the value: 3² Expand and find the value: 4³ Expand and find the value: 6² Expand and find the value: 6⁴ Expand and find the value: 4² Expand and find the value: 4⁴
✅ Answer key — Expand
2 × 2 × 2 = 8 6 × 6 × 6 = 216 3 × 3 = 9 4 × 4 × 4 = 64 6 × 6 = 36 6 × 6 × 6 × 6 = 1296 4 × 4 = 16 4 × 4 × 4 × 4 = 256 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 41
Name: Date: Score: / 10
Write as a power.
Write 343 as a power of 7. Write 243 as a power of 3. Write 27 as a power of 3. Write 36 as a power of 6. Write 125 as a power of 5. Write 25 as a power of 5. Write 16 as a power of 4. Write 49 as a power of 7. Write 1296 as a power of 6. Write 16 as a power of 2.
✅ Answer key — Write as a power
7³ 3⁵ 3³ 6² 5³ 5² 4² 7² 6⁴ 2⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 41
Name: Date: Score: / 12
Write each as a single power.
3⁶ ÷ 3³ 7⁸ ÷ 7⁴ 5⁸ × 5⁴ (5⁶)⁴ 7⁶ × 7⁵ 5⁸ × 5² 2⁸ × 2² 4² × 4⁶ (5⁸)² 7⁵ ÷ 7² 9⁷ ÷ 9⁴ 6² × 6³
✅ Answer key — Laws of exponents
3³ 7⁴ 5¹² 5²⁴ 7¹¹ 5¹⁰ 2¹⁰ 4⁸ 5¹⁶ 7³ 9³ 6⁵ 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.
