Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 5
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 5
Name: Date: Score: / 12
Find the value.
6³ = 7³ = 10² = 6² = 7² = 5² = 8² = 8³ = 2³ = 2⁴ = 2⁶ = 10³ =
✅ Answer key — Find the value
216 343 100 36 49 25 64 512 8 16 64 1000 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 5
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 4³ Expand and find the value: 3⁴ Expand and find the value: 2² Expand and find the value: 4⁴ Expand and find the value: 3⁵ Expand and find the value: 3³ Expand and find the value: 4² Expand and find the value: 2⁵
✅ Answer key — Expand
4 × 4 × 4 = 64 3 × 3 × 3 × 3 = 81 2 × 2 = 4 4 × 4 × 4 × 4 = 256 3 × 3 × 3 × 3 × 3 = 243 3 × 3 × 3 = 27 4 × 4 = 16 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 5
Name: Date: Score: / 10
Write as a power.
Write 9 as a power of 3. Write 25 as a power of 5. Write 32 as a power of 2. Write 49 as a power of 7. Write 625 as a power of 5. Write 1296 as a power of 6. Write 36 as a power of 6. Write 128 as a power of 2. Write 16 as a power of 4. Write 2401 as a power of 7.
✅ Answer key — Write as a power
3² 5² 2⁵ 7² 5⁴ 6⁴ 6² 2⁷ 4² 7⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 5
Name: Date: Score: / 12
Write each as a single power.
2⁴ ÷ 2³ (5⁷)⁴ (9³)⁴ (6⁵)³ 3⁶ ÷ 3³ 2⁹ ÷ 2² 9² × 9⁴ (8⁴)² (4⁷)² (5⁴)³ (9⁵)² (3⁷)³
✅ Answer key — Laws of exponents
2¹ 5²⁸ 9¹² 6¹⁵ 3³ 2⁷ 9⁶ 8⁸ 4¹⁴ 5¹² 9¹⁰ 3²¹ 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).
How do I print only one worksheet? Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.
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.
