Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 55
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 55
Name: Date: Score: / 12
Find the value.
8³ = 10² = 5² = 7² = 9² = 4⁴ = 2⁶ = 3⁶ = 4³ = 4² = 2⁴ = 9³ =
✅ Answer key — Find the value
512 100 25 49 81 256 64 729 64 16 16 729 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 55
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 4⁵ Expand and find the value: 4² Expand and find the value: 5² Expand and find the value: 6⁴ Expand and find the value: 3³ Expand and find the value: 6⁵ Expand and find the value: 4³ Expand and find the value: 5⁴
✅ Answer key — Expand
4 × 4 × 4 × 4 × 4 = 1024 4 × 4 = 16 5 × 5 = 25 6 × 6 × 6 × 6 = 1296 3 × 3 × 3 = 27 6 × 6 × 6 × 6 × 6 = 7776 4 × 4 × 4 = 64 5 × 5 × 5 × 5 = 625 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 55
Name: Date: Score: / 10
Write as a power.
Write 4 as a power of 2. Write 625 as a power of 5. Write 9 as a power of 3. Write 49 as a power of 7. Write 1296 as a power of 6. Write 16 as a power of 4. Write 16 as a power of 2. Write 32 as a power of 2. Write 25 as a power of 5. Write 256 as a power of 4.
✅ Answer key — Write as a power
2² 5⁴ 3² 7² 6⁴ 4² 2⁴ 2⁵ 5² 4⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 55
Name: Date: Score: / 12
Write each as a single power.
6⁸ ÷ 6⁵ 5⁷ × 5⁶ (9⁶)⁴ 2³ × 2³ (6⁵)³ 8⁹ ÷ 8⁵ 9⁸ × 9⁵ 4² × 4² 3⁴ ÷ 3³ 7³ × 7⁵ (8⁵)⁴ (7⁶)³
✅ Answer key — Laws of exponents
6³ 5¹³ 9²⁴ 2⁶ 6¹⁵ 8⁴ 9¹³ 4⁴ 3¹ 7⁸ 8²⁰ 7¹⁸ 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.
