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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 261 · 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.Write 3.5 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 2² × 2⁻³? =
  3. 3.What is the value of 10⁴ × 10⁻⁵? =
  4. 4.What is the value of 2⁵? =
  5. 5.Write 9.9 × 10⁻³ as a decimal. =
  6. 6.Write 6 × 10⁻¹ as a decimal. =
  7. 7.8 × 10⁶ =
  8. 8.Write 1.9 × 10⁻³ as a decimal. =
  9. 9.What is the value of 9⁴? =
  10. 10.Write 8.7 × 10⁻¹ as a decimal. =
  11. 11.Write 4,20,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  12. 12.5.6 × 10⁶ =
  13. 13.Write 1.8 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 10² × 10⁻²? =
  15. 15.What is the value of 7⁴? =
  16. 16.What is the value of 6⁻² (as a fraction)? =
  17. 17.What is the value of 2¹ × 2⁻¹? =
  18. 18.What is the value of 8²? =
  19. 19.What is the value of 6⁶? =
  20. 20.Write (5⁹)⁹ as a single power 5ⁿ. What is n?
  21. 21.Write 7³ × 7⁹ as a single power 7ⁿ. What is n?
  22. 22.Write 3.3 × 10⁻¹ as a decimal. =
  23. 23.Write 9 × 10⁻² as a decimal. =
  24. 24.Write 1.6 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 3¹ × 3⁻⁶? =
  26. 26.What is the value of 5² × 5⁻¹? =
  27. 27.Write 3.6 × 10⁻² as a decimal. =
  28. 28.Write 8¹⁰ ÷ 8⁵ as a single power 8ⁿ. What is n?
  29. 29.What is the value of 7²? =
  30. 30.What is the value of 4⁷? =
  31. 31.What is the value of 10⁻¹ (as a fraction)? =
  32. 32.What is the value of 4⁸? =
  33. 33.What is the value of (4/7)⁻²? =
  34. 34.1.9 × 10⁴ =
  35. 35.Write 5.1 × 10⁻² as a decimal. =
  36. 36.What is the value of 2⁻³ (as a fraction)? =
  37. 37.What is the value of 5⁻¹ (as a fraction)? =
  38. 38.8.9 × 10⁷ =
  39. 39.Write 7² × 7⁸ as a single power 7ⁿ. What is n?
  40. 40.What is the value of 2² × 2⁻²? =

Answer key

  1. 0.35
  2. 1/2
  3. 1/10
  4. 32
  5. 0.0099
  6. 0.6
  7. 8000000
  8. 0.0019
  9. 6561
  10. 0.87
  11. 7
  12. 5600000
  13. 0.18
  14. 1
  15. 2401
  16. 1/36
  17. 1
  18. 64
  19. 46656
  20. 81
  21. 12
  22. 0.33
  23. 0.09
  24. 0.00016
  25. 1/243
  26. 5
  27. 0.036
  28. 5
  29. 49
  30. 16384
  31. 1/10
  32. 65536
  33. 49/16
  34. 19000
  35. 0.051
  36. 1/8
  37. 1/5
  38. 89000000
  39. 10
  40. 1

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