Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 43
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 43
Name: Date: Score: / 12
Find the value.
10² = 8² = 2⁵ = 9³ = 5² = 7³ = 9² = 4² = 5³ = 3⁴ = 4⁴ = 4³ =
✅ Answer key — Find the value
100 64 32 729 25 343 81 16 125 81 256 64 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 43
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3⁵ Expand and find the value: 3² Expand and find the value: 4² Expand and find the value: 2⁴ Expand and find the value: 2² Expand and find the value: 5⁴ Expand and find the value: 6³ Expand and find the value: 5²
✅ Answer key — Expand
3 × 3 × 3 × 3 × 3 = 243 3 × 3 = 9 4 × 4 = 16 2 × 2 × 2 × 2 = 16 2 × 2 = 4 5 × 5 × 5 × 5 = 625 6 × 6 × 6 = 216 5 × 5 = 25 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 43
Name: Date: Score: / 10
Write as a power.
Write 25 as a power of 5. Write 125 as a power of 5. Write 2401 as a power of 7. Write 49 as a power of 7. Write 8 as a power of 2. Write 1296 as a power of 6. Write 256 as a power of 4. Write 36 as a power of 6. Write 81 as a power of 3. Write 64 as a power of 2.
✅ Answer key — Write as a power
5² 5³ 7⁴ 7² 2³ 6⁴ 4⁴ 6² 3⁴ 2⁶ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 43
Name: Date: Score: / 12
Write each as a single power.
(4⁸)² 8⁶ × 8³ (4⁸)³ 8⁸ × 8⁴ 4⁶ × 4⁶ (7⁹)⁴ (7⁶)⁴ 3⁹ ÷ 3² 5⁶ ÷ 5² (7⁷)³ (8⁷)³ (8⁸)⁴
✅ Answer key — Laws of exponents
4¹⁶ 8⁹ 4²⁴ 8¹² 4¹² 7³⁶ 7²⁴ 3⁷ 5⁴ 7²¹ 8²¹ 8³² 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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