Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 52
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 52
Name: Date: Score: / 12
Find the value.
2⁴ = 9³ = 8³ = 4³ = 10³ = 2⁷ = 6³ = 7² = 2⁶ = 2² = 8² = 5³ =
✅ Answer key — Find the value
16 729 512 64 1000 128 216 49 64 4 64 125 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 52
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 6⁴ Expand and find the value: 3⁵ Expand and find the value: 2² Expand and find the value: 2⁴ Expand and find the value: 5² Expand and find the value: 3³ Expand and find the value: 4³ Expand and find the value: 3²
✅ Answer key — Expand
6 × 6 × 6 × 6 = 1296 3 × 3 × 3 × 3 × 3 = 243 2 × 2 = 4 2 × 2 × 2 × 2 = 16 5 × 5 = 25 3 × 3 × 3 = 27 4 × 4 × 4 = 64 3 × 3 = 9 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 52
Name: Date: Score: / 10
Write as a power.
Write 256 as a power of 4. Write 125 as a power of 5. Write 49 as a power of 7. Write 25 as a power of 5. Write 32 as a power of 2. Write 64 as a power of 4. Write 81 as a power of 3. Write 36 as a power of 6. Write 2187 as a power of 3. Write 343 as a power of 7.
✅ Answer key — Write as a power
4⁴ 5³ 7² 5² 2⁵ 4³ 3⁴ 6² 3⁷ 7³ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 52
Name: Date: Score: / 12
Write each as a single power.
4⁹ ÷ 4⁶ 6² × 6⁵ (4⁵)⁴ (7⁵)⁴ 4⁷ ÷ 4⁴ (4²)⁴ 6³ × 6⁴ 8³ × 8⁶ 6⁶ × 6⁶ 5⁶ ÷ 5³ 4⁹ × 4⁵ 5⁷ × 5⁴
✅ Answer key — Laws of exponents
4³ 6⁷ 4²⁰ 7²⁰ 4³ 4⁸ 6⁷ 8⁹ 6¹² 5³ 4¹⁴ 5¹¹ 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.
