Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 11
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 11
Name: Date: Score: / 12
Find the value.
8² = 7³ = 5² = 10² = 6³ = 4⁴ = 6² = 8³ = 5⁴ = 9³ = 4³ = 7² =
✅ Answer key — Find the value
64 343 25 100 216 256 36 512 625 729 64 49 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 11
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 2⁴ Expand and find the value: 5⁵ Expand and find the value: 6⁵ Expand and find the value: 5⁴ Expand and find the value: 2⁵ Expand and find the value: 2³ Expand and find the value: 5³ Expand and find the value: 3³
✅ Answer key — Expand
2 × 2 × 2 × 2 = 16 5 × 5 × 5 × 5 × 5 = 3125 6 × 6 × 6 × 6 × 6 = 7776 5 × 5 × 5 × 5 = 625 2 × 2 × 2 × 2 × 2 = 32 2 × 2 × 2 = 8 5 × 5 × 5 = 125 3 × 3 × 3 = 27 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 11
Name: Date: Score: / 10
Write as a power.
Write 4 as a power of 2. Write 49 as a power of 7. Write 343 as a power of 7. Write 8 as a power of 2. Write 16 as a power of 4. Write 25 as a power of 5. Write 256 as a power of 4. Write 81 as a power of 3. Write 125 as a power of 5. Write 32 as a power of 2.
✅ Answer key — Write as a power
2² 7² 7³ 2³ 4² 5² 4⁴ 3⁴ 5³ 2⁵ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 11
Name: Date: Score: / 12
Write each as a single power.
6⁵ ÷ 6⁴ 8⁹ × 8² 3⁶ × 3⁴ 4⁹ × 4² 3³ × 3³ 6⁸ × 6² 8³ ÷ 8² 4⁷ × 4⁴ 4⁶ ÷ 4⁴ 3⁸ × 3⁵ (8⁶)⁴ 5⁹ × 5⁶
✅ Answer key — Laws of exponents
6¹ 8¹¹ 3¹⁰ 4¹¹ 3⁶ 6¹⁰ 8¹ 4¹¹ 4² 3¹³ 8²⁴ 5¹⁵ 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.
