Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 17
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.
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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 17
Name: Date: Score: / 12
Find the value.
10² = 4⁴ = 8² = 8³ = 2⁶ = 5² = 6³ = 2² = 9² = 6² = 10³ = 3² =
✅ Answer key — Find the value
100 256 64 512 64 25 216 4 81 36 1000 9 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 17
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3⁴ Expand and find the value: 6⁵ Expand and find the value: 5⁴ Expand and find the value: 2³ Expand and find the value: 6² Expand and find the value: 4² Expand and find the value: 3⁵ Expand and find the value: 5³
✅ Answer key — Expand
3 × 3 × 3 × 3 = 81 6 × 6 × 6 × 6 × 6 = 7776 5 × 5 × 5 × 5 = 625 2 × 2 × 2 = 8 6 × 6 = 36 4 × 4 = 16 3 × 3 × 3 × 3 × 3 = 243 5 × 5 × 5 = 125 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 17
Name: Date: Score: / 10
Write as a power.
Write 36 as a power of 6. Write 343 as a power of 7. Write 64 as a power of 2. Write 16 as a power of 4. Write 2401 as a power of 7. Write 625 as a power of 5. Write 125 as a power of 5. Write 216 as a power of 6. Write 32 as a power of 2. Write 243 as a power of 3.
✅ Answer key — Write as a power
6² 7³ 2⁶ 4² 7⁴ 5⁴ 5³ 6³ 2⁵ 3⁵ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 17
Name: Date: Score: / 12
Write each as a single power.
2⁴ ÷ 2³ (4⁸)⁴ 2⁸ ÷ 2⁵ 3⁷ ÷ 3⁵ 3⁷ ÷ 3³ 6⁴ × 6³ 2³ × 2⁴ 6⁶ ÷ 6³ 9⁶ ÷ 9² 5³ × 5⁵ 6⁷ ÷ 6³ 3³ × 3⁶
✅ Answer key — Laws of exponents
2¹ 4³² 2³ 3² 3⁴ 6⁷ 2⁷ 6³ 9⁴ 5⁸ 6⁴ 3⁹ 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.
