Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 8
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 8
Name: Date: Score: / 12
Find the value.
5² = 6³ = 4³ = 5⁴ = 2⁶ = 9² = 9³ = 8³ = 3³ = 5³ = 8² = 3⁷ =
✅ Answer key — Find the value
25 216 64 625 64 81 729 512 27 125 64 2187 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 8
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3³ Expand and find the value: 4² Expand and find the value: 5³ Expand and find the value: 3⁴ Expand and find the value: 3² Expand and find the value: 6⁴ Expand and find the value: 2³ Expand and find the value: 5²
✅ Answer key — Expand
3 × 3 × 3 = 27 4 × 4 = 16 5 × 5 × 5 = 125 3 × 3 × 3 × 3 = 81 3 × 3 = 9 6 × 6 × 6 × 6 = 1296 2 × 2 × 2 = 8 5 × 5 = 25 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 8
Name: Date: Score: / 10
Write as a power.
Write 2401 as a power of 7. Write 9 as a power of 3. Write 81 as a power of 3. Write 625 as a power of 5. Write 27 as a power of 3. Write 2187 as a power of 3. Write 64 as a power of 4. Write 25 as a power of 5. Write 729 as a power of 3. Write 16 as a power of 2.
✅ Answer key — Write as a power
7⁴ 3² 3⁴ 5⁴ 3³ 3⁷ 4³ 5² 3⁶ 2⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 8
Name: Date: Score: / 12
Write each as a single power.
6⁵ × 6⁴ (3³)² 5⁷ ÷ 5⁴ (9⁹)⁴ 6⁵ × 6⁵ 6⁹ ÷ 6⁶ 5³ × 5⁴ (4⁶)⁴ 6⁴ ÷ 6³ 4⁷ × 4⁴ (2⁶)⁴ 3⁵ × 3²
✅ Answer key — Laws of exponents
6⁹ 3⁶ 5³ 9³⁶ 6¹⁰ 6³ 5⁷ 4²⁴ 6¹ 4¹¹ 2²⁴ 3⁷ 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.
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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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