Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 39
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 39
Name: Date: Score: / 12
Find the value.
6³ = 7³ = 10² = 4³ = 4⁴ = 2⁴ = 2⁵ = 6² = 10³ = 8³ = 3⁷ = 2² =
✅ Answer key — Find the value
216 343 100 64 256 16 32 36 1000 512 2187 4
TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 39
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 6⁵ Expand and find the value: 3² Expand and find the value: 4³ Expand and find the value: 5³ Expand and find the value: 4⁵ Expand and find the value: 2³ Expand and find the value: 3³ Expand and find the value: 3⁴
✅ Answer key — Expand
6 × 6 × 6 × 6 × 6 = 7776 3 × 3 = 9 4 × 4 × 4 = 64 5 × 5 × 5 = 125 4 × 4 × 4 × 4 × 4 = 1024 2 × 2 × 2 = 8 3 × 3 × 3 = 27 3 × 3 × 3 × 3 = 81
TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 39
Name: Date: Score: / 10
Write as a power.
Write 64 as a power of 4. Write 125 as a power of 5. Write 36 as a power of 6. Write 2401 as a power of 7. Write 243 as a power of 3. Write 81 as a power of 3. Write 1296 as a power of 6. Write 64 as a power of 2. Write 216 as a power of 6. Write 9 as a power of 3.
✅ Answer key — Write as a power
4³ 5³ 6² 7⁴ 3⁵ 3⁴ 6⁴ 2⁶ 6³ 3²
TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 39
Name: Date: Score: / 12
Write each as a single power.
5⁶ × 5⁵ 7⁴ × 7⁴ 4⁴ × 4⁵ (6⁸)³ 3³ × 3⁵ (5⁷)³ 3⁷ ÷ 3³ (9⁴)² (5⁵)⁴ 3⁸ × 3³ 3⁶ ÷ 3⁴ 6⁷ × 6³
✅ Answer key — Laws of exponents
5¹¹ 7⁸ 4⁹ 6²⁴ 3⁸ 5²¹ 3⁴ 9⁸ 5²⁰ 3¹¹ 3² 6¹⁰
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.