Free · Class 7–8 · 4 worksheets · answer keys · practise online
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
Name: Date: Score: / 12
Find the value.
4⁴ = 3³ = 8² = 2⁷ = 5⁴ = 2² = 5² = 10³ = 6³ = 10² = 8³ = 4² =
✅ Answer key — Find the value
256 27 64 128 625 4 25 1000 216 100 512 16 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3⁵ Expand and find the value: 3³ Expand and find the value: 6⁴ Expand and find the value: 3² Expand and find the value: 2³ Expand and find the value: 2² Expand and find the value: 5⁴ Expand and find the value: 5⁵
✅ Answer key — Expand
3 × 3 × 3 × 3 × 3 = 243 3 × 3 × 3 = 27 6 × 6 × 6 × 6 = 1296 3 × 3 = 9 2 × 2 × 2 = 8 2 × 2 = 4 5 × 5 × 5 × 5 = 625 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
Name: Date: Score: / 10
Write as a power.
Write 16 as a power of 4. Write 1296 as a power of 6. Write 64 as a power of 2. Write 25 as a power of 5. Write 2401 as a power of 7. Write 36 as a power of 6. Write 49 as a power of 7. Write 125 as a power of 5. Write 16 as a power of 2. Write 729 as a power of 3.
✅ Answer key — Write as a power
4² 6⁴ 2⁶ 5² 7⁴ 6² 7² 5³ 2⁴ 3⁶ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4
Name: Date: Score: / 12
Write each as a single power.
4⁸ × 4² 3⁶ ÷ 3⁵ 9³ ÷ 9² 7⁴ ÷ 7² 7⁶ × 7⁶ 7⁴ × 7⁶ (6⁷)³ 8⁸ ÷ 8⁴ (2³)⁴ 5⁶ ÷ 5⁴ 6³ × 6⁵ 7⁷ ÷ 7²
✅ Answer key — Laws of exponents
4¹⁰ 3¹ 9¹ 7² 7¹² 7¹⁰ 6²¹ 8⁴ 2¹² 5² 6⁸ 7⁵ 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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