Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 34
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 34
Name: Date: Score: / 12
Find the value.
3⁵ = 6³ = 4² = 7³ = 4⁴ = 8² = 2³ = 3⁷ = 9² = 8³ = 4³ = 9³ =
✅ Answer key — Find the value
243 216 16 343 256 64 8 2187 81 512 64 729 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 34
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 4⁵ Expand and find the value: 3⁵ Expand and find the value: 2² Expand and find the value: 2⁴ Expand and find the value: 5² Expand and find the value: 3⁴ Expand and find the value: 6⁴ Expand and find the value: 2³
✅ Answer key — Expand
4 × 4 × 4 × 4 × 4 = 1024 3 × 3 × 3 × 3 × 3 = 243 2 × 2 = 4 2 × 2 × 2 × 2 = 16 5 × 5 = 25 3 × 3 × 3 × 3 = 81 6 × 6 × 6 × 6 = 1296 2 × 2 × 2 = 8 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 34
Name: Date: Score: / 10
Write as a power.
Write 128 as a power of 2. Write 256 as a power of 4. Write 243 as a power of 3. Write 2401 as a power of 7. Write 81 as a power of 3. Write 1296 as a power of 6. Write 8 as a power of 2. Write 343 as a power of 7. Write 16 as a power of 2. Write 216 as a power of 6.
✅ Answer key — Write as a power
2⁷ 4⁴ 3⁵ 7⁴ 3⁴ 6⁴ 2³ 7³ 2⁴ 6³ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 34
Name: Date: Score: / 12
Write each as a single power.
(8³)² 7⁸ × 7⁵ 2⁹ × 2³ 5⁷ ÷ 5³ 8⁵ × 8³ (8⁶)⁴ 3² × 3⁶ 7⁵ × 7⁶ (5²)⁴ (9⁵)² 4⁸ ÷ 4⁴ (4³)²
✅ Answer key — Laws of exponents
8⁶ 7¹³ 2¹² 5⁴ 8⁸ 8²⁴ 3⁸ 7¹¹ 5⁸ 9¹⁰ 4⁴ 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.
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.
