Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 26
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 26
Name: Date: Score: / 12
Find the value.
2⁵ = 6³ = 3⁷ = 7² = 10² = 5³ = 10³ = 3⁶ = 8² = 9³ = 8³ = 7³ =
✅ Answer key — Find the value
32 216 2187 49 100 125 1000 729 64 729 512 343
TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 26
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3² Expand and find the value: 4² Expand and find the value: 4³ Expand and find the value: 3³ Expand and find the value: 5⁴ Expand and find the value: 6² Expand and find the value: 2⁵ Expand and find the value: 6³
✅ Answer key — Expand
3 × 3 = 9 4 × 4 = 16 4 × 4 × 4 = 64 3 × 3 × 3 = 27 5 × 5 × 5 × 5 = 625 6 × 6 = 36 2 × 2 × 2 × 2 × 2 = 32 6 × 6 × 6 = 216
TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 26
Name: Date: Score: / 10
Write as a power.
Write 729 as a power of 3. Write 256 as a power of 4. Write 243 as a power of 3. Write 343 as a power of 7. Write 625 as a power of 5. Write 25 as a power of 5. Write 4 as a power of 2. Write 81 as a power of 3. Write 1296 as a power of 6. Write 125 as a power of 5.
✅ Answer key — Write as a power
3⁶ 4⁴ 3⁵ 7³ 5⁴ 5² 2² 3⁴ 6⁴ 5³
TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 26
Name: Date: Score: / 12
Write each as a single power.
6⁶ ÷ 6⁵ (6³)² 2⁹ ÷ 2³ 3⁵ × 3³ 3⁵ × 3⁶ 8⁷ × 8⁵ 2⁴ ÷ 2³ (4⁸)³ (6⁵)³ 5⁷ ÷ 5⁵ 2⁷ ÷ 2⁵ (9⁹)³
✅ Answer key — Laws of exponents
6¹ 6⁶ 2⁶ 3⁸ 3¹¹ 8¹² 2¹ 4²⁴ 6¹⁵ 5² 2² 9²⁷
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.