Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 38
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 38
Name: Date: Score: / 12
Find the value.
8³ = 8² = 4⁴ = 6² = 4² = 7² = 7³ = 2⁶ = 5⁴ = 6³ = 9² = 10² =
✅ Answer key — Find the value
512 64 256 36 16 49 343 64 625 216 81 100 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 38
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3³ Expand and find the value: 5⁵ Expand and find the value: 4³ Expand and find the value: 2³ Expand and find the value: 6⁵ Expand and find the value: 4⁴ Expand and find the value: 4² Expand and find the value: 6³
✅ Answer key — Expand
3 × 3 × 3 = 27 5 × 5 × 5 × 5 × 5 = 3125 4 × 4 × 4 = 64 2 × 2 × 2 = 8 6 × 6 × 6 × 6 × 6 = 7776 4 × 4 × 4 × 4 = 256 4 × 4 = 16 6 × 6 × 6 = 216 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 38
Name: Date: Score: / 10
Write as a power.
Write 4 as a power of 2. Write 49 as a power of 7. Write 64 as a power of 2. Write 343 as a power of 7. Write 81 as a power of 3. Write 16 as a power of 4. Write 8 as a power of 2. Write 243 as a power of 3. Write 36 as a power of 6. Write 9 as a power of 3.
✅ Answer key — Write as a power
2² 7² 2⁶ 7³ 3⁴ 4² 2³ 3⁵ 6² 3² TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 38
Name: Date: Score: / 12
Write each as a single power.
(2⁵)³ (8⁸)⁴ 4⁶ ÷ 4³ 4⁹ ÷ 4⁴ (3⁵)³ 6⁴ ÷ 6³ 4² × 4⁴ (9⁷)⁴ 2⁴ × 2³ 2⁹ ÷ 2² 7⁶ × 7⁵ 6² × 6⁴
✅ Answer key — Laws of exponents
2¹⁵ 8³² 4³ 4⁵ 3¹⁵ 6¹ 4⁶ 9²⁸ 2⁷ 2⁷ 7¹¹ 6⁶ 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.
