Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 83
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.
💡 Learn it first
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 83
Name: Date: Score: / 12
Find the value.
9³ = 7³ = 3⁶ = 8³ = 7² = 4² = 3⁴ = 8² = 3⁵ = 9² = 5⁴ = 3⁷ =
✅ Answer key — Find the value
729 343 729 512 49 16 81 64 243 81 625 2187 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 83
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 5³ Expand and find the value: 3⁴ Expand and find the value: 3⁵ Expand and find the value: 6² Expand and find the value: 4⁵ Expand and find the value: 2⁴ Expand and find the value: 2² Expand and find the value: 2⁵
✅ Answer key — Expand
5 × 5 × 5 = 125 3 × 3 × 3 × 3 = 81 3 × 3 × 3 × 3 × 3 = 243 6 × 6 = 36 4 × 4 × 4 × 4 × 4 = 1024 2 × 2 × 2 × 2 = 16 2 × 2 = 4 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 83
Name: Date: Score: / 10
Write as a power.
Write 2401 as a power of 7. Write 243 as a power of 3. Write 49 as a power of 7. Write 16 as a power of 4. Write 25 as a power of 5. Write 16 as a power of 2. Write 81 as a power of 3. Write 1296 as a power of 6. Write 256 as a power of 4. Write 64 as a power of 4.
✅ Answer key — Write as a power
7⁴ 3⁵ 7² 4² 5² 2⁴ 3⁴ 6⁴ 4⁴ 4³ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 83
Name: Date: Score: / 12
Write each as a single power.
(2⁹)³ 3⁵ × 3⁵ (2²)² 3⁴ × 3⁵ (9⁵)² 9² × 9⁶ 8² × 8⁵ 8⁸ × 8² 4⁹ ÷ 4³ 9² × 9³ 4⁵ × 4² (4⁸)⁴
✅ Answer key — Laws of exponents
2²⁷ 3¹⁰ 2⁴ 3⁹ 9¹⁰ 9⁸ 8⁷ 8¹⁰ 4⁶ 9⁵ 4⁷ 4³² 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.
