Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 94
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 94
Name: Date: Score: / 12
Find the value.
5⁴ = 2⁵ = 7³ = 10² = 6³ = 5² = 3⁴ = 3⁶ = 4³ = 4² = 4⁴ = 9² =
✅ Answer key — Find the value
625 32 343 100 216 25 81 729 64 16 256 81 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 94
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 4⁴ Expand and find the value: 2² Expand and find the value: 5³ Expand and find the value: 5² Expand and find the value: 6² Expand and find the value: 6⁵ Expand and find the value: 6³ Expand and find the value: 6⁴
✅ Answer key — Expand
4 × 4 × 4 × 4 = 256 2 × 2 = 4 5 × 5 × 5 = 125 5 × 5 = 25 6 × 6 = 36 6 × 6 × 6 × 6 × 6 = 7776 6 × 6 × 6 = 216 6 × 6 × 6 × 6 = 1296 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 94
Name: Date: Score: / 10
Write as a power.
Write 625 as a power of 5. Write 81 as a power of 3. Write 243 as a power of 3. Write 16 as a power of 2. Write 2401 as a power of 7. Write 8 as a power of 2. Write 64 as a power of 4. Write 128 as a power of 2. Write 216 as a power of 6. Write 49 as a power of 7.
✅ Answer key — Write as a power
5⁴ 3⁴ 3⁵ 2⁴ 7⁴ 2³ 4³ 2⁷ 6³ 7² TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 94
Name: Date: Score: / 12
Write each as a single power.
3⁸ × 3² 3⁸ ÷ 3³ 9⁵ × 9² (5⁹)² 2⁷ ÷ 2² (7⁸)³ 6⁸ ÷ 6³ 9⁷ × 9⁴ (3⁹)⁴ 6⁴ ÷ 6² (7⁴)² 3⁴ × 3⁵
✅ Answer key — Laws of exponents
3¹⁰ 3⁵ 9⁷ 5¹⁸ 2⁵ 7²⁴ 6⁵ 9¹¹ 3³⁶ 6² 7⁸ 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.
