Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 46
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 46
Name: Date: Score: / 12
Find the value.
9³ = 3⁶ = 7² = 6³ = 4² = 5³ = 9² = 2³ = 10² = 8² = 6² = 5⁴ =
✅ Answer key — Find the value
729 729 49 216 16 125 81 8 100 64 36 625 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 46
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 2⁴ Expand and find the value: 5³ Expand and find the value: 5⁵ Expand and find the value: 5⁴ Expand and find the value: 6⁵ Expand and find the value: 3⁵ Expand and find the value: 3⁴ Expand and find the value: 6⁴
✅ Answer key — Expand
2 × 2 × 2 × 2 = 16 5 × 5 × 5 = 125 5 × 5 × 5 × 5 × 5 = 3125 5 × 5 × 5 × 5 = 625 6 × 6 × 6 × 6 × 6 = 7776 3 × 3 × 3 × 3 × 3 = 243 3 × 3 × 3 × 3 = 81 6 × 6 × 6 × 6 = 1296 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 46
Name: Date: Score: / 10
Write as a power.
Write 243 as a power of 3. Write 2401 as a power of 7. Write 25 as a power of 5. Write 64 as a power of 4. Write 36 as a power of 6. Write 1296 as a power of 6. Write 2187 as a power of 3. Write 256 as a power of 4. Write 9 as a power of 3. Write 64 as a power of 2.
✅ Answer key — Write as a power
3⁵ 7⁴ 5² 4³ 6² 6⁴ 3⁷ 4⁴ 3² 2⁶ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 46
Name: Date: Score: / 12
Write each as a single power.
(8²)⁴ 7⁶ × 7⁴ (8²)² (3⁵)⁴ (2⁵)⁴ (9³)² 9⁷ × 9⁵ (2⁶)³ 6³ × 6⁴ 6⁹ ÷ 6⁵ 6⁹ × 6³ 8⁷ × 8⁶
✅ Answer key — Laws of exponents
8⁸ 7¹⁰ 8⁴ 3²⁰ 2²⁰ 9⁶ 9¹² 2¹⁸ 6⁷ 6⁴ 6¹² 8¹³ 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.
