Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 50
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 50
Name: Date: Score: / 12
Find the value.
7² = 4³ = 9² = 4² = 10² = 8³ = 6² = 2⁷ = 5⁴ = 2⁵ = 5² = 8² =
✅ Answer key — Find the value
49 64 81 16 100 512 36 128 625 32 25 64 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 50
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 4⁴ Expand and find the value: 5³ Expand and find the value: 2² Expand and find the value: 2⁴ Expand and find the value: 4⁵ Expand and find the value: 4² Expand and find the value: 3² Expand and find the value: 3⁵
✅ Answer key — Expand
4 × 4 × 4 × 4 = 256 5 × 5 × 5 = 125 2 × 2 = 4 2 × 2 × 2 × 2 = 16 4 × 4 × 4 × 4 × 4 = 1024 4 × 4 = 16 3 × 3 = 9 3 × 3 × 3 × 3 × 3 = 243 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 50
Name: Date: Score: / 10
Write as a power.
Write 81 as a power of 3. Write 16 as a power of 4. Write 343 as a power of 7. Write 2401 as a power of 7. Write 16 as a power of 2. Write 36 as a power of 6. Write 8 as a power of 2. Write 216 as a power of 6. Write 25 as a power of 5. Write 256 as a power of 4.
✅ Answer key — Write as a power
3⁴ 4² 7³ 7⁴ 2⁴ 6² 2³ 6³ 5² 4⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 50
Name: Date: Score: / 12
Write each as a single power.
3⁸ ÷ 3⁵ 4⁵ ÷ 4³ (7⁹)³ 5⁷ ÷ 5⁶ 4⁶ ÷ 4² 3⁸ × 3⁶ 7⁶ ÷ 7² 6⁹ × 6³ (9⁹)⁴ 6⁵ × 6⁶ 2⁵ × 2⁶ 6⁸ ÷ 6⁶
✅ Answer key — Laws of exponents
3³ 4² 7²⁷ 5¹ 4⁴ 3¹⁴ 7⁴ 6¹² 9³⁶ 6¹¹ 2¹¹ 6² 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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