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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 847 · 40 sums
TalentJR

The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.7.7 × 10⁵ =
  2. 2.Write 2¹² ÷ 2⁴ as a single power 2ⁿ. What is n?
  3. 3.What is the value of 2⁻⁷ (as a fraction)? =
  4. 4.Write 6⁶ ÷ 6⁴ as a single power 6ⁿ. What is n?
  5. 5.Write 8² × 8² as a single power 8ⁿ. What is n?
  6. 6.Write 2 × 10⁻¹ as a decimal. =
  7. 7.1.6 × 10⁶ =
  8. 8.What is the value of 2⁻¹ (as a fraction)? =
  9. 9.Write 2⁸ × 2² as a single power 2ⁿ. What is n?
  10. 10.What is the value of 6²? =
  11. 11.Write 9.2 × 10⁻¹ as a decimal. =
  12. 12.What is the value of (5/7)⁻¹? =
  13. 13.What is the value of 10⁴ × 10⁻⁵? =
  14. 14.What is the value of 10² × 10⁻²? =
  15. 15.What is the value of 4²? =
  16. 16.What is the value of (1/8)⁻²? =
  17. 17.9.6 × 10⁷ =
  18. 18.What is the value of 2⁵ × 2⁻⁶? =
  19. 19.What is the value of (4/7)⁻²? =
  20. 20.What is the value of 2⁻⁴ (as a fraction)? =
  21. 21.Write 4.8 × 10⁻² as a decimal. =
  22. 22.Write 2² × 2³ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 3² × 3⁻¹? =
  24. 24.What is the value of 3⁴? =
  25. 25.2.2 × 10⁶ =
  26. 26.Write 5¹⁰ ÷ 5⁷ as a single power 5ⁿ. What is n?
  27. 27.What is the value of (2/9)⁻²? =
  28. 28.What is the value of 9⁴? =
  29. 29.Write 2⁷ × 2⁸ as a single power 2ⁿ. What is n?
  30. 30.Write 7⁷ ÷ 7⁵ as a single power 7ⁿ. What is n?
  31. 31.What is the value of 2²? =
  32. 32.Write (4⁸)³ as a single power 4ⁿ. What is n?
  33. 33.What is the value of 5¹ × 5⁻²? =
  34. 34.What is the value of 2⁵ × 2⁻⁵? =
  35. 35.Write 8.6 × 10⁻³ as a decimal. =
  36. 36.What is the value of (1/5)⁻²? =
  37. 37.What is the value of 3⁻² (as a fraction)? =
  38. 38.1.5 × 10⁵ =
  39. 39.What is the value of 2⁶ × 2⁻⁶? =
  40. 40.Write 2,30,000 in standard form as 2.3 × 10ⁿ. What is n?

Answer key

  1. 770000
  2. 8
  3. 1/128
  4. 2
  5. 4
  6. 0.2
  7. 1600000
  8. 1/2
  9. 10
  10. 36
  11. 0.92
  12. 7/5
  13. 1/10
  14. 1
  15. 16
  16. 64
  17. 96000000
  18. 1/2
  19. 49/16
  20. 1/16
  21. 0.048
  22. 5
  23. 3
  24. 81
  25. 2200000
  26. 3
  27. 81/4
  28. 6561
  29. 15
  30. 2
  31. 4
  32. 24
  33. 1/5
  34. 1
  35. 0.0086
  36. 25
  37. 1/9
  38. 150000
  39. 1
  40. 5

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