Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 16
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 16
Name: Date: Score: / 12
Find the value.
7² = 9³ = 8² = 9² = 5² = 5³ = 10³ = 2³ = 6³ = 10² = 6² = 4² =
✅ Answer key — Find the value
49 729 64 81 25 125 1000 8 216 100 36 16 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 16
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 6⁴ Expand and find the value: 5⁵ Expand and find the value: 4⁵ Expand and find the value: 4³ Expand and find the value: 6⁵ Expand and find the value: 2³ Expand and find the value: 4² Expand and find the value: 3⁵
✅ Answer key — Expand
6 × 6 × 6 × 6 = 1296 5 × 5 × 5 × 5 × 5 = 3125 4 × 4 × 4 × 4 × 4 = 1024 4 × 4 × 4 = 64 6 × 6 × 6 × 6 × 6 = 7776 2 × 2 × 2 = 8 4 × 4 = 16 3 × 3 × 3 × 3 × 3 = 243 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 16
Name: Date: Score: / 10
Write as a power.
Write 32 as a power of 2. Write 125 as a power of 5. Write 25 as a power of 5. Write 64 as a power of 2. Write 27 as a power of 3. Write 343 as a power of 7. Write 49 as a power of 7. Write 2401 as a power of 7. Write 729 as a power of 3. Write 256 as a power of 4.
✅ Answer key — Write as a power
2⁵ 5³ 5² 2⁶ 3³ 7³ 7² 7⁴ 3⁶ 4⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 16
Name: Date: Score: / 12
Write each as a single power.
(4⁸)³ (9⁷)² (4⁷)² (8²)² (7⁴)² 5⁸ × 5⁵ 4⁷ ÷ 4³ 9² × 9² 7⁷ × 7³ 7⁶ × 7⁶ 6⁴ ÷ 6³ 4⁸ ÷ 4⁵
✅ Answer key — Laws of exponents
4²⁴ 9¹⁴ 4¹⁴ 8⁴ 7⁸ 5¹³ 4⁴ 9⁴ 7¹⁰ 7¹² 6¹ 4³ 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.
