Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 30
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 30
Name: Date: Score: / 12
Find the value.
5³ = 6² = 4² = 5⁴ = 7³ = 8² = 4³ = 8³ = 4⁴ = 10² = 2² = 9³ =
✅ Answer key — Find the value
125 36 16 625 343 64 64 512 256 100 4 729 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 30
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 2⁵ Expand and find the value: 6² Expand and find the value: 5² Expand and find the value: 4² Expand and find the value: 5⁵ Expand and find the value: 2⁴ Expand and find the value: 4⁵ Expand and find the value: 2³
✅ Answer key — Expand
2 × 2 × 2 × 2 × 2 = 32 6 × 6 = 36 5 × 5 = 25 4 × 4 = 16 5 × 5 × 5 × 5 × 5 = 3125 2 × 2 × 2 × 2 = 16 4 × 4 × 4 × 4 × 4 = 1024 2 × 2 × 2 = 8 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 30
Name: Date: Score: / 10
Write as a power.
Write 16 as a power of 4. Write 16 as a power of 2. Write 243 as a power of 3. Write 343 as a power of 7. Write 81 as a power of 3. Write 32 as a power of 2. Write 4 as a power of 2. Write 64 as a power of 4. Write 256 as a power of 4. Write 64 as a power of 2.
✅ Answer key — Write as a power
4² 2⁴ 3⁵ 7³ 3⁴ 2⁵ 2² 4³ 4⁴ 2⁶ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 30
Name: Date: Score: / 12
Write each as a single power.
6⁴ × 6⁴ 6⁶ ÷ 6³ 7⁵ × 7² 8³ × 8⁴ 5⁶ ÷ 5³ (6³)³ 4² × 4⁴ 2⁷ ÷ 2⁶ 4⁸ × 4³ 5⁶ × 5⁴ (8⁸)³ 4⁷ × 4⁶
✅ Answer key — Laws of exponents
6⁸ 6³ 7⁷ 8⁷ 5³ 6⁹ 4⁶ 2¹ 4¹¹ 5¹⁰ 8²⁴ 4¹³ 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.
