Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 24
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 24
Name: Date: Score: / 12
Find the value.
3⁶ = 5³ = 4³ = 8² = 10³ = 7² = 6³ = 9² = 8³ = 9³ = 3⁷ = 7³ =
✅ Answer key — Find the value
729 125 64 64 1000 49 216 81 512 729 2187 343 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 24
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 2⁵ Expand and find the value: 3³ Expand and find the value: 5³ Expand and find the value: 3⁵ Expand and find the value: 2³ Expand and find the value: 2² Expand and find the value: 2⁴ Expand and find the value: 6⁴
✅ Answer key — Expand
2 × 2 × 2 × 2 × 2 = 32 3 × 3 × 3 = 27 5 × 5 × 5 = 125 3 × 3 × 3 × 3 × 3 = 243 2 × 2 × 2 = 8 2 × 2 = 4 2 × 2 × 2 × 2 = 16 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 24
Name: Date: Score: / 10
Write as a power.
Write 2401 as a power of 7. Write 81 as a power of 3. Write 49 as a power of 7. Write 8 as a power of 2. Write 625 as a power of 5. Write 256 as a power of 4. Write 1296 as a power of 6. Write 36 as a power of 6. Write 343 as a power of 7. Write 16 as a power of 4.
✅ Answer key — Write as a power
7⁴ 3⁴ 7² 2³ 5⁴ 4⁴ 6⁴ 6² 7³ 4² TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 24
Name: Date: Score: / 12
Write each as a single power.
9⁷ × 9⁶ 8⁷ × 8⁴ 7⁶ ÷ 7⁴ (3³)⁴ (2⁴)⁴ (5⁷)³ 9⁷ × 9⁴ 3⁶ × 3⁶ (4⁵)² 3⁹ ÷ 3³ 2⁹ × 2⁶ (3³)³
✅ Answer key — Laws of exponents
9¹³ 8¹¹ 7² 3¹² 2¹⁶ 5²¹ 9¹¹ 3¹² 4¹⁰ 3⁶ 2¹⁵ 3⁹ 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.
