Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 90
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 90
Name: Date: Score: / 12
Find the value.
7² = 7³ = 8³ = 3² = 9³ = 3⁵ = 3⁷ = 6² = 10³ = 5³ = 4⁴ = 5⁴ =
✅ Answer key — Find the value
49 343 512 9 729 243 2187 36 1000 125 256 625 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 90
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3⁴ Expand and find the value: 3² Expand and find the value: 5⁵ Expand and find the value: 6² Expand and find the value: 2³ Expand and find the value: 2² Expand and find the value: 5⁴ Expand and find the value: 4³
✅ Answer key — Expand
3 × 3 × 3 × 3 = 81 3 × 3 = 9 5 × 5 × 5 × 5 × 5 = 3125 6 × 6 = 36 2 × 2 × 2 = 8 2 × 2 = 4 5 × 5 × 5 × 5 = 625 4 × 4 × 4 = 64 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 90
Name: Date: Score: / 10
Write as a power.
Write 125 as a power of 5. Write 16 as a power of 2. Write 2401 as a power of 7. Write 1296 as a power of 6. Write 64 as a power of 4. Write 8 as a power of 2. Write 256 as a power of 4. Write 16 as a power of 4. Write 216 as a power of 6. Write 128 as a power of 2.
✅ Answer key — Write as a power
5³ 2⁴ 7⁴ 6⁴ 4³ 2³ 4⁴ 4² 6³ 2⁷ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 90
Name: Date: Score: / 12
Write each as a single power.
(2⁴)³ 6⁷ ÷ 6³ (5⁶)² (4⁷)³ (9⁹)² 2⁶ ÷ 2² 7⁶ ÷ 7⁴ 3⁸ × 3⁶ 9³ × 9⁶ 7⁵ × 7⁵ (3⁷)² 4⁷ × 4⁵
✅ Answer key — Laws of exponents
2¹² 6⁴ 5¹² 4²¹ 9¹⁸ 2⁴ 7² 3¹⁴ 9⁹ 7¹⁰ 3¹⁴ 4¹² 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.
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