Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 29
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 29
Name: Date: Score: / 12
Find the value.
10³ = 9² = 6² = 8² = 3² = 4² = 6³ = 8³ = 7³ = 5³ = 2⁶ = 4⁴ =
✅ Answer key — Find the value
1000 81 36 64 9 16 216 512 343 125 64 256 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 29
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 5⁵ Expand and find the value: 6² Expand and find the value: 6⁵ Expand and find the value: 2⁵ Expand and find the value: 5² Expand and find the value: 3⁵ Expand and find the value: 4³ Expand and find the value: 2²
✅ Answer key — Expand
5 × 5 × 5 × 5 × 5 = 3125 6 × 6 = 36 6 × 6 × 6 × 6 × 6 = 7776 2 × 2 × 2 × 2 × 2 = 32 5 × 5 = 25 3 × 3 × 3 × 3 × 3 = 243 4 × 4 × 4 = 64 2 × 2 = 4 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 29
Name: Date: Score: / 10
Write as a power.
Write 125 as a power of 5. Write 32 as a power of 2. Write 2401 as a power of 7. Write 16 as a power of 2. Write 8 as a power of 2. Write 81 as a power of 3. Write 36 as a power of 6. Write 343 as a power of 7. Write 16 as a power of 4. Write 4 as a power of 2.
✅ Answer key — Write as a power
5³ 2⁵ 7⁴ 2⁴ 2³ 3⁴ 6² 7³ 4² 2² TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 29
Name: Date: Score: / 12
Write each as a single power.
(6²)³ (9⁶)² 4⁷ × 4⁵ (7⁸)⁴ 8⁷ × 8⁴ 5⁵ ÷ 5⁴ 4⁸ ÷ 4⁵ (2⁵)² (5²)³ (7⁶)³ (4⁹)³ 7² × 7⁶
✅ Answer key — Laws of exponents
6⁶ 9¹² 4¹² 7³² 8¹¹ 5¹ 4³ 2¹⁰ 5⁶ 7¹⁸ 4²⁷ 7⁸ 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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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.
