Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 12
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 12
Name: Date: Score: / 12
Find the value.
6³ = 2⁷ = 4² = 5³ = 3⁵ = 7² = 8³ = 5⁴ = 8² = 10³ = 5² = 3⁶ =
✅ Answer key — Find the value
216 128 16 125 243 49 512 625 64 1000 25 729 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 12
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 2³ Expand and find the value: 5⁵ Expand and find the value: 3⁵ Expand and find the value: 6⁴ Expand and find the value: 4⁵ Expand and find the value: 3⁴ Expand and find the value: 3² Expand and find the value: 4⁴
✅ Answer key — Expand
2 × 2 × 2 = 8 5 × 5 × 5 × 5 × 5 = 3125 3 × 3 × 3 × 3 × 3 = 243 6 × 6 × 6 × 6 = 1296 4 × 4 × 4 × 4 × 4 = 1024 3 × 3 × 3 × 3 = 81 3 × 3 = 9 4 × 4 × 4 × 4 = 256 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 12
Name: Date: Score: / 10
Write as a power.
Write 1296 as a power of 6. Write 64 as a power of 4. Write 2401 as a power of 7. Write 49 as a power of 7. Write 36 as a power of 6. Write 216 as a power of 6. Write 256 as a power of 4. Write 64 as a power of 2. Write 25 as a power of 5. Write 16 as a power of 2.
✅ Answer key — Write as a power
6⁴ 4³ 7⁴ 7² 6² 6³ 4⁴ 2⁶ 5² 2⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 12
Name: Date: Score: / 12
Write each as a single power.
7⁸ ÷ 7⁴ 2³ × 2⁵ 5⁹ × 5⁶ (2⁴)³ 8⁹ × 8³ 3⁶ ÷ 3² 9⁸ ÷ 9⁴ (3⁵)³ (6⁵)² 7⁸ ÷ 7⁶ (9⁶)⁴ (2²)²
✅ Answer key — Laws of exponents
7⁴ 2⁸ 5¹⁵ 2¹² 8¹² 3⁴ 9⁴ 3¹⁵ 6¹⁰ 7² 9²⁴ 2⁴ 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.
