Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 87
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 87
Name: Date: Score: / 12
Find the value.
8³ = 3⁶ = 7³ = 5⁴ = 3² = 9³ = 8² = 6² = 9² = 3³ = 2⁵ = 2⁴ =
✅ Answer key — Find the value
512 729 343 625 9 729 64 36 81 27 32 16 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 87
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3⁵ Expand and find the value: 5² Expand and find the value: 4⁵ Expand and find the value: 6² Expand and find the value: 6⁴ Expand and find the value: 4⁴ Expand and find the value: 3² Expand and find the value: 4²
✅ Answer key — Expand
3 × 3 × 3 × 3 × 3 = 243 5 × 5 = 25 4 × 4 × 4 × 4 × 4 = 1024 6 × 6 = 36 6 × 6 × 6 × 6 = 1296 4 × 4 × 4 × 4 = 256 3 × 3 = 9 4 × 4 = 16 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 87
Name: Date: Score: / 10
Write as a power.
Write 36 as a power of 6. Write 32 as a power of 2. Write 256 as a power of 4. Write 16 as a power of 2. Write 49 as a power of 7. Write 64 as a power of 4. Write 64 as a power of 2. Write 25 as a power of 5. Write 1296 as a power of 6. Write 2401 as a power of 7.
✅ Answer key — Write as a power
6² 2⁵ 4⁴ 2⁴ 7² 4³ 2⁶ 5² 6⁴ 7⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 87
Name: Date: Score: / 12
Write each as a single power.
(6²)⁴ 8⁶ × 8⁶ 8⁷ × 8⁴ (2²)⁴ (9⁹)³ (9⁷)⁴ (2²)³ (5⁹)⁴ 3³ ÷ 3² 3⁸ ÷ 3⁵ 9⁶ × 9⁶ 9⁵ × 9⁶
✅ Answer key — Laws of exponents
6⁸ 8¹² 8¹¹ 2⁸ 9²⁷ 9²⁸ 2⁶ 5³⁶ 3¹ 3³ 9¹² 9¹¹ 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.
Are these worksheets free? Yes — print them or save as PDF free. Every worksheet has an answer key.
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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.
