Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 21
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 21
Name: Date: Score: / 12
Find the value.
5³ = 6³ = 4⁴ = 7³ = 2⁴ = 5² = 4² = 2² = 7² = 2⁶ = 2⁷ = 10² =
✅ Answer key — Find the value
125 216 256 343 16 25 16 4 49 64 128 100 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 21
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 4³ Expand and find the value: 5⁴ Expand and find the value: 5⁵ Expand and find the value: 5² Expand and find the value: 3³ Expand and find the value: 2³ Expand and find the value: 2² Expand and find the value: 6³
✅ Answer key — Expand
4 × 4 × 4 = 64 5 × 5 × 5 × 5 = 625 5 × 5 × 5 × 5 × 5 = 3125 5 × 5 = 25 3 × 3 × 3 = 27 2 × 2 × 2 = 8 2 × 2 = 4 6 × 6 × 6 = 216 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 21
Name: Date: Score: / 10
Write as a power.
Write 256 as a power of 4. Write 343 as a power of 7. Write 25 as a power of 5. Write 216 as a power of 6. Write 1296 as a power of 6. Write 36 as a power of 6. Write 2401 as a power of 7. Write 16 as a power of 2. Write 16 as a power of 4. Write 27 as a power of 3.
✅ Answer key — Write as a power
4⁴ 7³ 5² 6³ 6⁴ 6² 7⁴ 2⁴ 4² 3³ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 21
Name: Date: Score: / 12
Write each as a single power.
(8⁵)⁴ 6⁸ ÷ 6⁵ (5⁹)⁴ 5⁶ × 5² 2⁷ × 2⁵ 6³ × 6⁵ 4⁷ × 4⁶ (7³)² (6⁷)² 8³ ÷ 8² (7⁶)⁴ 6⁹ ÷ 6³
✅ Answer key — Laws of exponents
8²⁰ 6³ 5³⁶ 5⁸ 2¹² 6⁸ 4¹³ 7⁶ 6¹⁴ 8¹ 7²⁴ 6⁶ 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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