Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 72
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 72
Name: Date: Score: / 12
Find the value.
4³ = 6³ = 4⁴ = 5⁴ = 9³ = 2² = 10² = 9² = 8² = 5³ = 3⁴ = 6² =
✅ Answer key — Find the value
64 216 256 625 729 4 100 81 64 125 81 36 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 72
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3⁴ Expand and find the value: 2² Expand and find the value: 3³ Expand and find the value: 5³ Expand and find the value: 4² Expand and find the value: 6⁵ Expand and find the value: 2⁵ Expand and find the value: 6²
✅ Answer key — Expand
3 × 3 × 3 × 3 = 81 2 × 2 = 4 3 × 3 × 3 = 27 5 × 5 × 5 = 125 4 × 4 = 16 6 × 6 × 6 × 6 × 6 = 7776 2 × 2 × 2 × 2 × 2 = 32 6 × 6 = 36 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 72
Name: Date: Score: / 10
Write as a power.
Write 1296 as a power of 6. Write 25 as a power of 5. Write 64 as a power of 4. Write 216 as a power of 6. Write 243 as a power of 3. Write 9 as a power of 3. Write 625 as a power of 5. Write 49 as a power of 7. Write 16 as a power of 4. Write 256 as a power of 4.
✅ Answer key — Write as a power
6⁴ 5² 4³ 6³ 3⁵ 3² 5⁴ 7² 4² 4⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 72
Name: Date: Score: / 12
Write each as a single power.
6⁷ ÷ 6² (7⁶)⁴ 2⁷ × 2⁵ 7⁷ × 7² 8⁴ × 8⁴ 4⁷ × 4³ 8⁷ ÷ 8³ 3⁷ × 3⁶ 4³ ÷ 4² 2⁴ ÷ 2³ 4⁷ ÷ 4² (6⁸)⁴
✅ Answer key — Laws of exponents
6⁵ 7²⁴ 2¹² 7⁹ 8⁸ 4¹⁰ 8⁴ 3¹³ 4¹ 2¹ 4⁵ 6³² 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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Can my child do this worksheet online, like a quiz? Yes — press “▶️ Practise online” on any worksheet. The questions come one at a time with instant marking, a score at the end and a review of mistakes. No sign-in is needed.
