Free · Class 7–8 · 4 worksheets · answer keys · practise online · set 27
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 27
Name: Date: Score: / 12
Find the value.
3⁵ = 5⁴ = 6³ = 3⁷ = 4² = 2³ = 10² = 8³ = 9³ = 8² = 2⁵ = 3⁶ =
✅ Answer key — Find the value
243 625 216 2187 16 8 100 512 729 64 32 729 TalentJR · talentjr.in/exponents-and-powers-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Expand Class 7 · Worksheet 2 · set 27
Name: Date: Score: / 8
Expand and find the value.
Expand and find the value: 3⁴ Expand and find the value: 4³ Expand and find the value: 3⁵ Expand and find the value: 6² Expand and find the value: 3³ Expand and find the value: 5² Expand and find the value: 4² Expand and find the value: 5⁴
✅ Answer key — Expand
3 × 3 × 3 × 3 = 81 4 × 4 × 4 = 64 3 × 3 × 3 × 3 × 3 = 243 6 × 6 = 36 3 × 3 × 3 = 27 5 × 5 = 25 4 × 4 = 16 5 × 5 × 5 × 5 = 625 TalentJR · talentjr.in/exponents-and-powers-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Write as a power Class 7 · Worksheet 3 · set 27
Name: Date: Score: / 10
Write as a power.
Write 4 as a power of 2. Write 64 as a power of 4. Write 343 as a power of 7. Write 8 as a power of 2. Write 81 as a power of 3. Write 32 as a power of 2. Write 64 as a power of 2. Write 243 as a power of 3. Write 49 as a power of 7. Write 25 as a power of 5.
✅ Answer key — Write as a power
2² 4³ 7³ 2³ 3⁴ 2⁵ 2⁶ 3⁵ 7² 5² TalentJR · talentjr.in/exponents-and-powers-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Laws of exponents Class 7–8 · Worksheet 4 · set 27
Name: Date: Score: / 12
Write each as a single power.
(7⁴)³ 9⁹ ÷ 9² 4⁷ ÷ 4² 2⁵ × 2⁵ (3⁷)² 6⁶ × 6⁶ 4⁴ × 4⁶ 8⁵ × 8⁴ 8⁴ × 8² (5⁸)⁴ 7⁸ × 7³ 3³ × 3²
✅ Answer key — Laws of exponents
7¹² 9⁷ 4⁵ 2¹⁰ 3¹⁴ 6¹² 4¹⁰ 8⁹ 8⁶ 5³² 7¹¹ 3⁵ TalentJR · talentjr.in/exponents-and-powers-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
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.
How do I get different questions? Press “🔄 New set” — the questions change (maths numbers are new every time; English sentences are shuffled).
How do I print only one worksheet? Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.
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.
