Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 6
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 6
Name: Date: Score: / 12
Find the value.
2² = 7² = 4⁴ = 3² = 2⁴ = 9² = 9³ = 8³ = 2⁷ = 10² = 6² = 5² =
✅ Answer key — Find the value
4 49 256 9 16 81 729 512 128 100 36 25 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 6
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3⁴ Expand and find the value: 5² Expand and find the value: 5⁵ Expand and find the value: 5⁴ Expand and find the value: 2⁵ Expand and find the value: 3² Expand and find the value: 2³ Expand and find the value: 3⁵
✅ Answer key — Expand
3 × 3 × 3 × 3 = 81 5 × 5 = 25 5 × 5 × 5 × 5 × 5 = 3125 5 × 5 × 5 × 5 = 625 2 × 2 × 2 × 2 × 2 = 32 3 × 3 = 9 2 × 2 × 2 = 8 3 × 3 × 3 × 3 × 3 = 243 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 6
Name: Date: Score: / 10
Write as a power.
Write 16 as a power of 2. Write 25 as a power of 5. Write 256 as a power of 4. Write 216 as a power of 6. Write 1296 as a power of 6. Write 49 as a power of 7. Write 64 as a power of 2. Write 64 as a power of 4. Write 343 as a power of 7. Write 625 as a power of 5.
✅ Answer key — Write as a power
2⁴ 5² 4⁴ 6³ 6⁴ 7² 2⁶ 4³ 7³ 5⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 6
Name: Date: Score: / 12
Write each as a single power.
5² × 5⁴ 7² × 7⁵ 7⁷ ÷ 7⁴ 4² × 4⁶ (4⁷)⁴ 9⁴ ÷ 9³ 8⁸ × 8² 4⁶ × 4⁵ 9⁷ × 9⁴ (3⁶)³ (2³)³ 3⁴ × 3³
✅ Answer key — Laws of exponents
5⁶ 7⁷ 7³ 4⁸ 4²⁸ 9¹ 8¹⁰ 4¹¹ 9¹¹ 3¹⁸ 2⁹ 3⁷ 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.
