Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 9
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 9
Name: Date: Score: / 12
Find the value.
4³ = 9² = 8² = 8³ = 2² = 7³ = 3⁷ = 10² = 9³ = 2⁵ = 3² = 6² =
✅ Answer key — Find the value
64 81 64 512 4 343 2187 100 729 32 9 36 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 9
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3⁵ Expand and find the value: 2³ Expand and find the value: 2² Expand and find the value: 6⁵ Expand and find the value: 6³ Expand and find the value: 3⁴ Expand and find the value: 5⁵ Expand and find the value: 2⁵
✅ Answer key — Expand
3 × 3 × 3 × 3 × 3 = 243 2 × 2 × 2 = 8 2 × 2 = 4 6 × 6 × 6 × 6 × 6 = 7776 6 × 6 × 6 = 216 3 × 3 × 3 × 3 = 81 5 × 5 × 5 × 5 × 5 = 3125 2 × 2 × 2 × 2 × 2 = 32 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 9
Name: Date: Score: / 10
Write as a power.
Write 32 as a power of 2. Write 36 as a power of 6. Write 64 as a power of 2. Write 27 as a power of 3. Write 25 as a power of 5. Write 2187 as a power of 3. Write 125 as a power of 5. Write 81 as a power of 3. Write 625 as a power of 5. Write 16 as a power of 2.
✅ Answer key — Write as a power
2⁵ 6² 2⁶ 3³ 5² 3⁷ 5³ 3⁴ 5⁴ 2⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 9
Name: Date: Score: / 12
Write each as a single power.
4⁴ × 4² (6⁹)² 8⁵ ÷ 8⁴ 2⁷ ÷ 2⁵ (7⁶)² (2²)⁴ 2⁹ × 2⁴ 6⁶ ÷ 6⁴ (6⁴)² (5⁸)⁴ 6⁹ ÷ 6² (5⁷)⁴
✅ Answer key — Laws of exponents
4⁶ 6¹⁸ 8¹ 2² 7¹² 2⁸ 2¹³ 6² 6⁸ 5³² 6⁷ 5²⁸ 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.
Are these worksheets free? Yes — print them or save as PDF free. Every worksheet has an answer key.
How do I get different questions? Press “🔄 New set” — the questions change (maths numbers are new every time; English sentences are shuffled).
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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.
