Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 85
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 85
Name: Date: Score: / 12
Find the value.
6² = 6³ = 4⁴ = 10² = 8² = 5² = 5⁴ = 7² = 9³ = 5³ = 4² = 3⁷ =
✅ Answer key — Find the value
36 216 256 100 64 25 625 49 729 125 16 2187 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 85
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 2⁵ Expand and find the value: 4⁴ Expand and find the value: 3⁵ Expand and find the value: 5⁵ Expand and find the value: 2² Expand and find the value: 5³ Expand and find the value: 6⁴ Expand and find the value: 2⁴
✅ Answer key — Expand
2 × 2 × 2 × 2 × 2 = 32 4 × 4 × 4 × 4 = 256 3 × 3 × 3 × 3 × 3 = 243 5 × 5 × 5 × 5 × 5 = 3125 2 × 2 = 4 5 × 5 × 5 = 125 6 × 6 × 6 × 6 = 1296 2 × 2 × 2 × 2 = 16 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 85
Name: Date: Score: / 10
Write as a power.
Write 343 as a power of 7. Write 49 as a power of 7. Write 256 as a power of 4. Write 128 as a power of 2. Write 125 as a power of 5. Write 8 as a power of 2. Write 27 as a power of 3. Write 64 as a power of 4. Write 25 as a power of 5. Write 81 as a power of 3.
✅ Answer key — Write as a power
7³ 7² 4⁴ 2⁷ 5³ 2³ 3³ 4³ 5² 3⁴ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 85
Name: Date: Score: / 12
Write each as a single power.
(5⁴)² 8⁷ × 8⁵ 9⁵ × 9³ 7⁴ ÷ 7² 6⁹ × 6² 9⁸ × 9⁵ 7⁸ ÷ 7⁵ 8⁷ ÷ 8² 3⁵ × 3⁶ (6²)² 8⁹ ÷ 8⁴ 2⁴ ÷ 2²
✅ Answer key — Laws of exponents
5⁸ 8¹² 9⁸ 7² 6¹¹ 9¹³ 7³ 8⁵ 3¹¹ 6⁴ 8⁵ 2² 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.
