Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 86
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 86
Name: Date: Score: / 12
Find the value.
2⁴ = 7³ = 10³ = 5² = 2⁷ = 8³ = 5⁴ = 3⁴ = 4² = 8² = 3⁵ = 10² =
✅ Answer key — Find the value
16 343 1000 25 128 512 625 81 16 64 243 100 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 86
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 6³ Expand and find the value: 3⁵ Expand and find the value: 5² Expand and find the value: 4⁵ Expand and find the value: 2³ Expand and find the value: 2⁴ Expand and find the value: 2⁵ Expand and find the value: 6²
✅ Answer key — Expand
6 × 6 × 6 = 216 3 × 3 × 3 × 3 × 3 = 243 5 × 5 = 25 4 × 4 × 4 × 4 × 4 = 1024 2 × 2 × 2 = 8 2 × 2 × 2 × 2 = 16 2 × 2 × 2 × 2 × 2 = 32 6 × 6 = 36 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 86
Name: Date: Score: / 10
Write as a power.
Write 36 as a power of 6. Write 625 as a power of 5. Write 729 as a power of 3. Write 256 as a power of 4. Write 9 as a power of 3. Write 64 as a power of 2. Write 1296 as a power of 6. Write 243 as a power of 3. Write 27 as a power of 3. Write 128 as a power of 2.
✅ Answer key — Write as a power
6² 5⁴ 3⁶ 4⁴ 3² 2⁶ 6⁴ 3⁵ 3³ 2⁷ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 86
Name: Date: Score: / 12
Write each as a single power.
6⁹ × 6² (6⁷)⁴ (6⁵)³ (6⁴)⁴ (9⁴)² (7³)³ 8⁷ ÷ 8³ 7⁹ × 7⁶ (3⁶)³ 9² × 9⁴ 8⁹ × 8³ 3⁴ ÷ 3²
✅ Answer key — Laws of exponents
6¹¹ 6²⁸ 6¹⁵ 6¹⁶ 9⁸ 7⁹ 8⁴ 7¹⁵ 3¹⁸ 9⁶ 8¹² 3² 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.
