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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 910 · 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 6.3 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 2⁸? =
  3. 3.Write 9.1 × 10⁻³ as a decimal. =
  4. 4.What is the value of 5⁵ × 5⁻³? =
  5. 5.What is the value of 10⁻² (as a fraction)? =
  6. 6.What is the value of 5⁵ × 5⁻²? =
  7. 7.Write 8⁸ ÷ 8² as a single power 8ⁿ. What is n?
  8. 8.Write 7¹⁰ ÷ 7⁷ as a single power 7ⁿ. What is n?
  9. 9.What is the value of 2⁷? =
  10. 10.What is the value of 4⁻¹ (as a fraction)? =
  11. 11.Write 1.3 × 10⁻³ as a decimal. =
  12. 12.What is the value of 3³ × 3⁻⁵? =
  13. 13.What is the value of 2⁻⁴ (as a fraction)? =
  14. 14.What is the value of 10³ × 10⁻²? =
  15. 15.What is the value of 10¹ × 10⁻²? =
  16. 16.Write 1.7 × 10⁻⁴ as a decimal. =
  17. 17.Write 7.9 × 10⁻³ as a decimal. =
  18. 18.What is the value of 4⁵? =
  19. 19.Write 7⁶ × 7⁴ as a single power 7ⁿ. What is n?
  20. 20.What is the value of 10² × 10⁻²? =
  21. 21.1.4 × 10⁴ =
  22. 22.What is the value of 3¹ × 3⁻²? =
  23. 23.What is the value of (4/7)⁻¹? =
  24. 24.Write 7.7 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 6⁻³ (as a fraction)? =
  26. 26.2.2 × 10⁵ =
  27. 27.Write 8.1 × 10⁻¹ as a decimal. =
  28. 28.Write 2.5 × 10⁻¹ as a decimal. =
  29. 29.Write 21,000 in standard form as 2.1 × 10ⁿ. What is n?
  30. 30.5.7 × 10⁵ =
  31. 31.What is the value of 3⁶ × 3⁻³? =
  32. 32.What is the value of 2⁵ × 2⁻⁴? =
  33. 33.Write (6⁶)⁷ as a single power 6ⁿ. What is n?
  34. 34.Write 3⁶ × 3⁴ as a single power 3ⁿ. What is n?
  35. 35.8 × 10² =
  36. 36.What is the value of (1/9)⁻²? =
  37. 37.What is the value of (3/8)⁻¹? =
  38. 38.6.1 × 10⁷ =
  39. 39.Write (5³)⁸ as a single power 5ⁿ. What is n?
  40. 40.What is the value of 5² × 5⁻⁵? =

Answer key

  1. 0.63
  2. 256
  3. 0.0091
  4. 25
  5. 1/100
  6. 125
  7. 6
  8. 3
  9. 128
  10. 1/4
  11. 0.0013
  12. 1/9
  13. 1/16
  14. 10
  15. 1/10
  16. 0.00017
  17. 0.0079
  18. 1024
  19. 10
  20. 1
  21. 14000
  22. 1/3
  23. 7/4
  24. 0.77
  25. 1/216
  26. 220000
  27. 0.81
  28. 0.25
  29. 4
  30. 570000
  31. 27
  32. 2
  33. 42
  34. 10
  35. 800
  36. 81
  37. 8/3
  38. 61000000
  39. 24
  40. 1/125

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