Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 31
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 31
Name: Date: Score: / 12
Find the value.
6³ = 4³ = 7² = 2³ = 8² = 3⁵ = 4² = 7³ = 9² = 2⁶ = 6² = 8³ =
✅ Answer key — Find the value
216 64 49 8 64 243 16 343 81 64 36 512 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 31
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 6² Expand and find the value: 4⁵ Expand and find the value: 4³ Expand and find the value: 3³ Expand and find the value: 4² Expand and find the value: 3⁵ Expand and find the value: 2⁴ Expand and find the value: 5⁵
✅ Answer key — Expand
6 × 6 = 36 4 × 4 × 4 × 4 × 4 = 1024 4 × 4 × 4 = 64 3 × 3 × 3 = 27 4 × 4 = 16 3 × 3 × 3 × 3 × 3 = 243 2 × 2 × 2 × 2 = 16 5 × 5 × 5 × 5 × 5 = 3125 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 31
Name: Date: Score: / 10
Write as a power.
Write 32 as a power of 2. Write 343 as a power of 7. Write 8 as a power of 2. Write 4 as a power of 2. Write 49 as a power of 7. Write 9 as a power of 3. Write 27 as a power of 3. Write 1296 as a power of 6. Write 36 as a power of 6. Write 2401 as a power of 7.
✅ Answer key — Write as a power
2⁵ 7³ 2³ 2² 7² 3² 3³ 6⁴ 6² 7⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 31
Name: Date: Score: / 12
Write each as a single power.
(8⁷)² 4⁶ ÷ 4³ 5⁹ ÷ 5⁵ 9⁵ ÷ 9³ 5⁴ ÷ 5³ (5⁸)⁴ 3⁵ × 3⁶ (8⁶)³ (7⁶)⁴ 2⁶ × 2² (3⁴)³ (2⁵)⁴
✅ Answer key — Laws of exponents
8¹⁴ 4³ 5⁴ 9² 5¹ 5³² 3¹¹ 8¹⁸ 7²⁴ 2⁸ 3¹² 2²⁰ 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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