Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 2
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 2
Name: Date: Score: / 12
Find the value.
3⁷ = 10³ = 3² = 5⁴ = 6³ = 4² = 8² = 3⁴ = 2² = 2⁴ = 8³ = 9³ =
✅ Answer key — Find the value
2187 1000 9 625 216 16 64 81 4 16 512 729 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 2
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 4² Expand and find the value: 2³ Expand and find the value: 2⁴ Expand and find the value: 4⁵ Expand and find the value: 6⁴ Expand and find the value: 6² Expand and find the value: 3³ Expand and find the value: 5⁵
✅ Answer key — Expand
4 × 4 = 16 2 × 2 × 2 = 8 2 × 2 × 2 × 2 = 16 4 × 4 × 4 × 4 × 4 = 1024 6 × 6 × 6 × 6 = 1296 6 × 6 = 36 3 × 3 × 3 = 27 5 × 5 × 5 × 5 × 5 = 3125 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 2
Name: Date: Score: / 10
Write as a power.
Write 1296 as a power of 6. Write 32 as a power of 2. Write 343 as a power of 7. Write 216 as a power of 6. Write 64 as a power of 4. Write 64 as a power of 2. Write 8 as a power of 2. Write 125 as a power of 5. Write 9 as a power of 3. Write 25 as a power of 5.
✅ Answer key — Write as a power
6⁴ 2⁵ 7³ 6³ 4³ 2⁶ 2³ 5³ 3² 5² TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 2
Name: Date: Score: / 12
Write each as a single power.
4⁶ ÷ 4⁴ (5⁷)³ 7⁶ × 7⁴ 5³ × 5³ (6⁴)⁴ (9⁴)² 3⁴ × 3³ (9⁷)³ 5⁶ ÷ 5⁴ 8⁶ ÷ 8⁵ (3⁶)² (8⁴)³
✅ Answer key — Laws of exponents
4² 5²¹ 7¹⁰ 5⁶ 6¹⁶ 9⁸ 3⁷ 9²¹ 5² 8¹ 3¹² 8¹² 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.
