Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 40
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 40
Name: Date: Score: / 12
Find the value.
2⁵ = 7³ = 5² = 10² = 2³ = 4⁴ = 5³ = 3² = 7² = 5⁴ = 8² = 3⁵ =
✅ Answer key — Find the value
32 343 25 100 8 256 125 9 49 625 64 243 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 40
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3⁴ Expand and find the value: 6² Expand and find the value: 3³ Expand and find the value: 4³ Expand and find the value: 4² Expand and find the value: 2² Expand and find the value: 5⁴ Expand and find the value: 4⁵
✅ Answer key — Expand
3 × 3 × 3 × 3 = 81 6 × 6 = 36 3 × 3 × 3 = 27 4 × 4 × 4 = 64 4 × 4 = 16 2 × 2 = 4 5 × 5 × 5 × 5 = 625 4 × 4 × 4 × 4 × 4 = 1024 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 40
Name: Date: Score: / 10
Write as a power.
Write 8 as a power of 2. Write 125 as a power of 5. Write 2401 as a power of 7. Write 343 as a power of 7. Write 256 as a power of 4. Write 27 as a power of 3. Write 64 as a power of 4. Write 243 as a power of 3. Write 49 as a power of 7. Write 16 as a power of 4.
✅ Answer key — Write as a power
2³ 5³ 7⁴ 7³ 4⁴ 3³ 4³ 3⁵ 7² 4² TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 40
Name: Date: Score: / 12
Write each as a single power.
(9⁴)³ 6² × 6⁶ (4⁷)² 6⁹ ÷ 6³ 9⁶ × 9³ 3² × 3³ (5³)² 4⁷ × 4³ (7⁹)³ 8⁵ ÷ 8³ 9⁵ ÷ 9² (6⁶)²
✅ Answer key — Laws of exponents
9¹² 6⁸ 4¹⁴ 6⁶ 9⁹ 3⁵ 5⁶ 4¹⁰ 7²⁷ 8² 9³ 6¹² 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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