Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 36
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 36
Name: Date: Score: / 12
Find the value.
8² = 6³ = 7³ = 7² = 5² = 2⁴ = 5⁴ = 10² = 8³ = 2⁶ = 10³ = 3⁶ =
✅ Answer key — Find the value
64 216 343 49 25 16 625 100 512 64 1000 729 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 36
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: 2⁴ Expand and find the value: 5⁴ Expand and find the value: 2³ Expand and find the value: 3⁵ Expand and find the value: 2⁵ Expand and find the value: 4⁵
✅ Answer key — Expand
3 × 3 × 3 × 3 = 81 5 × 5 = 25 2 × 2 × 2 × 2 = 16 5 × 5 × 5 × 5 = 625 2 × 2 × 2 = 8 3 × 3 × 3 × 3 × 3 = 243 2 × 2 × 2 × 2 × 2 = 32 4 × 4 × 4 × 4 × 4 = 1024 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 36
Name: Date: Score: / 10
Write as a power.
Write 256 as a power of 4. Write 16 as a power of 4. Write 2401 as a power of 7. Write 216 as a power of 6. Write 16 as a power of 2. Write 25 as a power of 5. Write 2187 as a power of 3. Write 64 as a power of 4. Write 49 as a power of 7. Write 81 as a power of 3.
✅ Answer key — Write as a power
4⁴ 4² 7⁴ 6³ 2⁴ 5² 3⁷ 4³ 7² 3⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 36
Name: Date: Score: / 12
Write each as a single power.
6³ × 6⁶ 2⁵ × 2² (3⁹)³ 4⁸ × 4² (5⁸)³ 7⁸ ÷ 7⁴ (9²)⁴ 9⁹ × 9⁵ 8⁶ ÷ 8² (8⁴)³ 5⁵ × 5⁵ 6⁸ ÷ 6⁵
✅ Answer key — Laws of exponents
6⁹ 2⁷ 3²⁷ 4¹⁰ 5²⁴ 7⁴ 9⁸ 9¹⁴ 8⁴ 8¹² 5¹⁰ 6³ 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.
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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.
