Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 13
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 13
Name: Date: Score: / 12
Find the value.
7² = 9² = 8² = 4² = 3⁶ = 10³ = 5⁴ = 3⁴ = 2⁶ = 3⁷ = 3³ = 2⁷ =
✅ Answer key — Find the value
49 81 64 16 729 1000 625 81 64 2187 27 128 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Expand Class 7 · Worksheet 2 · set 13
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3⁵ Expand and find the value: 4² Expand and find the value: 2³ Expand and find the value: 6⁴ Expand and find the value: 5² Expand and find the value: 2² Expand and find the value: 6³ Expand and find the value: 3⁴
✅ Answer key — Expand
3 × 3 × 3 × 3 × 3 = 243 4 × 4 = 16 2 × 2 × 2 = 8 6 × 6 × 6 × 6 = 1296 5 × 5 = 25 2 × 2 = 4 6 × 6 × 6 = 216 3 × 3 × 3 × 3 = 81 TalentJR · talentjr.in/exponents-and-powers-worksheet
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Write as a power Class 7 · Worksheet 3 · set 13
Name: Date: Score: / 10
Write as a power.
Write 625 as a power of 5. Write 9 as a power of 3. Write 32 as a power of 2. Write 64 as a power of 2. Write 256 as a power of 4. Write 27 as a power of 3. Write 2401 as a power of 7. Write 729 as a power of 3. Write 216 as a power of 6. Write 125 as a power of 5.
✅ Answer key — Write as a power
5⁴ 3² 2⁵ 2⁶ 4⁴ 3³ 7⁴ 3⁶ 6³ 5³ TalentJR · talentjr.in/exponents-and-powers-worksheet
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Laws of exponents Class 7–8 · Worksheet 4 · set 13
Name: Date: Score: / 12
Write each as a single power.
(4⁵)³ 3⁹ × 3⁶ 6⁸ ÷ 6⁴ 4² × 4⁵ (8⁴)⁴ 8⁷ × 8⁵ (3⁹)³ (5²)² 9⁵ × 9⁴ 5⁴ × 5⁶ 3⁵ × 3³ 3⁴ ÷ 3²
✅ Answer key — Laws of exponents
4¹⁵ 3¹⁵ 6⁴ 4⁷ 8¹⁶ 8¹² 3²⁷ 5⁴ 9⁹ 5¹⁰ 3⁸ 3² 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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