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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 215 · 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.What is the value of 7³? =
  2. 2.What is the value of 2² × 2⁻⁶? =
  3. 3.What is the value of 3⁶? =
  4. 4.Write 4.4 × 10⁻¹ as a decimal. =
  5. 5.What is the value of (1/3)⁻²? =
  6. 6.6.7 × 10³ =
  7. 7.What is the value of 3¹⁰? =
  8. 8.5.3 × 10⁵ =
  9. 9.What is the value of 3⁶ × 3⁻²? =
  10. 10.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  11. 11.What is the value of 2⁻⁴ (as a fraction)? =
  12. 12.Write 4,90,000 in standard form as 4.9 × 10ⁿ. What is n?
  13. 13.What is the value of 10⁻² (as a fraction)? =
  14. 14.What is the value of 3¹ × 3⁻⁶? =
  15. 15.What is the value of 2⁴? =
  16. 16.What is the value of 10⁴ × 10⁻⁵? =
  17. 17.Write 5.5 × 10⁻⁴ as a decimal. =
  18. 18.Write 4⁶ × 4⁷ as a single power 4ⁿ. What is n?
  19. 19.What is the value of 5⁴ × 5⁻⁴? =
  20. 20.What is the value of 2⁶? =
  21. 21.Write 2¹² ÷ 2⁸ as a single power 2ⁿ. What is n?
  22. 22.Write 6⁸ ÷ 6⁴ as a single power 6ⁿ. What is n?
  23. 23.Write 5.4 × 10⁻³ as a decimal. =
  24. 24.Write 9.1 × 10⁻² as a decimal. =
  25. 25.Write 770 in standard form as 7.7 × 10ⁿ. What is n?
  26. 26.What is the value of 7⁴? =
  27. 27.2.3 × 10⁵ =
  28. 28.Write 3.6 × 10⁻² as a decimal. =
  29. 29.What is the value of 8³? =
  30. 30.What is the value of (3/5)⁻¹? =
  31. 31.What is the value of 10¹ × 10⁻⁴? =
  32. 32.What is the value of 10⁴? =
  33. 33.Write 8.8 × 10⁻² as a decimal. =
  34. 34.What is the value of 4⁵? =
  35. 35.What is the value of 2¹⁶? =
  36. 36.Write 6¹¹ ÷ 6⁷ as a single power 6ⁿ. What is n?
  37. 37.What is the value of 2³? =
  38. 38.What is the value of 2⁸? =
  39. 39.Write 7.7 × 10⁻³ as a decimal. =
  40. 40.What is the value of (6/7)⁻²? =

Answer key

  1. 343
  2. 1/16
  3. 729
  4. 0.44
  5. 9
  6. 6700
  7. 59049
  8. 530000
  9. 81
  10. 4
  11. 1/16
  12. 5
  13. 1/100
  14. 1/243
  15. 16
  16. 1/10
  17. 0.00055
  18. 13
  19. 1
  20. 64
  21. 4
  22. 4
  23. 0.0054
  24. 0.091
  25. 2
  26. 2401
  27. 230000
  28. 0.036
  29. 512
  30. 5/3
  31. 1/1000
  32. 10000
  33. 0.088
  34. 1024
  35. 65536
  36. 4
  37. 8
  38. 256
  39. 0.0077
  40. 49/36

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