Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 10
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 10
Name: Date: Score: / 12
Find the value.
8³ = 7³ = 4³ = 5³ = 5² = 4⁴ = 7² = 9² = 3⁴ = 6² = 4² = 10³ =
✅ Answer key — Find the value
512 343 64 125 25 256 49 81 81 36 16 1000
TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 10
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 4² Expand and find the value: 3⁴ Expand and find the value: 5⁵ Expand and find the value: 2² Expand and find the value: 5² Expand and find the value: 6³ Expand and find the value: 3² Expand and find the value: 6⁵
✅ Answer key — Expand
4 × 4 = 16 3 × 3 × 3 × 3 = 81 5 × 5 × 5 × 5 × 5 = 3125 2 × 2 = 4 5 × 5 = 25 6 × 6 × 6 = 216 3 × 3 = 9 6 × 6 × 6 × 6 × 6 = 7776
TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 10
Name: Date: Score: / 10
Write as a power.
Write 16 as a power of 4. Write 4 as a power of 2. Write 2401 as a power of 7. Write 36 as a power of 6. Write 216 as a power of 6. Write 128 as a power of 2. Write 9 as a power of 3. Write 729 as a power of 3. Write 32 as a power of 2. Write 1296 as a power of 6.
✅ Answer key — Write as a power
4² 2² 7⁴ 6² 6³ 2⁷ 3² 3⁶ 2⁵ 6⁴
TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 10
Name: Date: Score: / 12
Write each as a single power.
(9²)³ (6⁷)⁴ (9⁵)² (6⁸)⁴ 9⁸ ÷ 9⁴ 7² × 7³ 5² × 5⁵ 3² × 3² 7⁸ × 7³ (4²)³ 9⁸ ÷ 9⁶ 8⁸ × 8²
✅ Answer key — Laws of exponents
9⁶ 6²⁸ 9¹⁰ 6³² 9⁴ 7⁵ 5⁷ 3⁴ 7¹¹ 4⁶ 9² 8¹⁰
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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