Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 19
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 19
Name: Date: Score: / 12
Find the value.
6² = 6³ = 10³ = 5⁴ = 7³ = 2³ = 3⁵ = 10² = 4³ = 8³ = 5² = 9³ =
✅ Answer key — Find the value
36 216 1000 625 343 8 243 100 64 512 25 729 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 19
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 4⁵ Expand and find the value: 6³ Expand and find the value: 6² Expand and find the value: 4³ Expand and find the value: 4⁴ Expand and find the value: 6⁵ Expand and find the value: 3⁴ Expand and find the value: 6⁴
✅ Answer key — Expand
4 × 4 × 4 × 4 × 4 = 1024 6 × 6 × 6 = 216 6 × 6 = 36 4 × 4 × 4 = 64 4 × 4 × 4 × 4 = 256 6 × 6 × 6 × 6 × 6 = 7776 3 × 3 × 3 × 3 = 81 6 × 6 × 6 × 6 = 1296 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 19
Name: Date: Score: / 10
Write as a power.
Write 128 as a power of 2. Write 16 as a power of 4. Write 2401 as a power of 7. Write 49 as a power of 7. Write 625 as a power of 5. Write 32 as a power of 2. Write 36 as a power of 6. Write 4 as a power of 2. Write 2187 as a power of 3. Write 125 as a power of 5.
✅ Answer key — Write as a power
2⁷ 4² 7⁴ 7² 5⁴ 2⁵ 6² 2² 3⁷ 5³ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 19
Name: Date: Score: / 12
Write each as a single power.
(8⁹)³ 8⁷ ÷ 8⁵ 9⁹ ÷ 9⁴ (2⁸)⁴ 4⁹ × 4⁶ (8⁷)⁴ 4⁸ ÷ 4⁶ 8⁷ × 8⁴ 4⁸ ÷ 4⁵ (3⁶)² 9⁸ × 9⁵ 7⁶ × 7⁶
✅ Answer key — Laws of exponents
8²⁷ 8² 9⁵ 2³² 4¹⁵ 8²⁸ 4² 8¹¹ 4³ 3¹² 9¹³ 7¹² 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.
