Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 18
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 18
Name: Date: Score: / 12
Find the value.
5³ = 6² = 4² = 3³ = 6³ = 4³ = 4⁴ = 8² = 2² = 3⁵ = 9² = 3⁴ =
✅ Answer key — Find the value
125 36 16 27 216 64 256 64 4 243 81 81 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 18
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 6² Expand and find the value: 4⁴ Expand and find the value: 2³ Expand and find the value: 5⁵ Expand and find the value: 3² Expand and find the value: 4³ Expand and find the value: 2² Expand and find the value: 6⁴
✅ Answer key — Expand
6 × 6 = 36 4 × 4 × 4 × 4 = 256 2 × 2 × 2 = 8 5 × 5 × 5 × 5 × 5 = 3125 3 × 3 = 9 4 × 4 × 4 = 64 2 × 2 = 4 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 18
Name: Date: Score: / 10
Write as a power.
Write 49 as a power of 7. Write 81 as a power of 3. Write 125 as a power of 5. Write 36 as a power of 6. Write 16 as a power of 4. Write 27 as a power of 3. Write 216 as a power of 6. Write 2187 as a power of 3. Write 625 as a power of 5. Write 1296 as a power of 6.
✅ Answer key — Write as a power
7² 3⁴ 5³ 6² 4² 3³ 6³ 3⁷ 5⁴ 6⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 18
Name: Date: Score: / 12
Write each as a single power.
8⁷ × 8⁶ (4²)⁴ (5⁸)³ 8⁵ × 8⁵ 9⁷ × 9⁶ 8⁷ × 8⁴ 4⁷ × 4⁵ (3⁹)³ 6⁵ × 6² 6⁴ × 6⁶ 2⁹ ÷ 2³ 7⁴ × 7³
✅ Answer key — Laws of exponents
8¹³ 4⁸ 5²⁴ 8¹⁰ 9¹³ 8¹¹ 4¹² 3²⁷ 6⁷ 6¹⁰ 2⁶ 7⁷ 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.
