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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 546 · 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 5 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 2³ × 2⁻¹? =
  3. 3.What is the value of 2⁶? =
  4. 4.Write 7.3 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 7⁴? =
  6. 6.What is the value of 2⁻⁹ (as a fraction)? =
  7. 7.Write 7⁵ ÷ 7² as a single power 7ⁿ. What is n?
  8. 8.What is the value of (3/5)⁻¹? =
  9. 9.What is the value of 3⁸? =
  10. 10.What is the value of 3²? =
  11. 11.Write 7.7 × 10⁻² as a decimal. =
  12. 12.Write 9.1 × 10⁻¹ as a decimal. =
  13. 13.What is the value of 6³? =
  14. 14.What is the value of 3⁶ × 3⁻⁵? =
  15. 15.What is the value of 2⁶ × 2⁻¹? =
  16. 16.Write 6⁷ ÷ 6⁵ as a single power 6ⁿ. What is n?
  17. 17.Write 4,50,00,000 in standard form as 4.5 × 10ⁿ. What is n?
  18. 18.Write 4¹⁵ ÷ 4⁷ as a single power 4ⁿ. What is n?
  19. 19.Write 7³ × 7³ as a single power 7ⁿ. What is n?
  20. 20.Write 5 × 10⁻³ as a decimal. =
  21. 21.What is the value of 2³? =
  22. 22.Write 5.7 × 10⁻¹ as a decimal. =
  23. 23.Write 2⁴ × 2³ as a single power 2ⁿ. What is n?
  24. 24.Write 7⁷ ÷ 7⁴ as a single power 7ⁿ. What is n?
  25. 25.What is the value of 3³ × 3⁻¹? =
  26. 26.What is the value of 2⁻⁷ (as a fraction)? =
  27. 27.8.2 × 10⁶ =
  28. 28.4.3 × 10³ =
  29. 29.What is the value of 6⁻² (as a fraction)? =
  30. 30.What is the value of 10⁴? =
  31. 31.What is the value of 2⁻⁴ (as a fraction)? =
  32. 32.What is the value of 10² × 10⁻⁶? =
  33. 33.What is the value of 10⁴ × 10⁻⁴? =
  34. 34.What is the value of 2¹⁵? =
  35. 35.5.8 × 10⁵ =
  36. 36.Write (9⁸)³ as a single power 9ⁿ. What is n?
  37. 37.What is the value of 8⁵? =
  38. 38.What is the value of 5¹ × 5⁻⁶? =
  39. 39.Write 1.1 × 10⁻³ as a decimal. =
  40. 40.What is the value of 4⁷? =

Answer key

  1. 0.0005
  2. 4
  3. 64
  4. 0.73
  5. 2401
  6. 1/512
  7. 3
  8. 5/3
  9. 6561
  10. 9
  11. 0.077
  12. 0.91
  13. 216
  14. 3
  15. 32
  16. 2
  17. 7
  18. 8
  19. 6
  20. 0.005
  21. 8
  22. 0.57
  23. 7
  24. 3
  25. 9
  26. 1/128
  27. 8200000
  28. 4300
  29. 1/36
  30. 10000
  31. 1/16
  32. 1/10000
  33. 1
  34. 32768
  35. 580000
  36. 24
  37. 32768
  38. 1/3125
  39. 0.0011
  40. 16384

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