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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 775 · 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 9.1 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 5⁶ × 5⁻⁶? =
  3. 3.What is the value of 7⁵? =
  4. 4.Write (9⁴)⁹ as a single power 9ⁿ. What is n?
  5. 5.Write 8.7 × 10⁻² as a decimal. =
  6. 6.Write 2¹⁵ ÷ 2⁶ as a single power 2ⁿ. What is n?
  7. 7.4.9 × 10⁵ =
  8. 8.Write 4² × 4⁶ as a single power 4ⁿ. What is n?
  9. 9.What is the value of 2¹ × 2⁻¹? =
  10. 10.What is the value of 5¹ × 5⁻³? =
  11. 11.What is the value of 2⁻⁶ (as a fraction)? =
  12. 12.What is the value of 2⁷? =
  13. 13.What is the value of (7/8)⁻²? =
  14. 14.What is the value of 5¹ × 5⁻⁶? =
  15. 15.8.7 × 10² =
  16. 16.Write 2² × 2⁵ as a single power 2ⁿ. What is n?
  17. 17.Write 4.1 × 10⁻³ as a decimal. =
  18. 18.What is the value of 5⁵ × 5⁻¹? =
  19. 19.What is the value of 6³? =
  20. 20.What is the value of 3¹ × 3⁻⁵? =
  21. 21.Write 5² × 5⁵ as a single power 5ⁿ. What is n?
  22. 22.3.9 × 10⁷ =
  23. 23.What is the value of 8⁵? =
  24. 24.Write 4.8 × 10⁻³ as a decimal. =
  25. 25.What is the value of 2¹⁰? =
  26. 26.Write 78,000 in standard form as 7.8 × 10ⁿ. What is n?
  27. 27.What is the value of 4⁸? =
  28. 28.What is the value of 6²? =
  29. 29.What is the value of 3⁻² (as a fraction)? =
  30. 30.Write 9.8 × 10⁻³ as a decimal. =
  31. 31.7.6 × 10² =
  32. 32.What is the value of (2/9)⁻²? =
  33. 33.What is the value of 2³ × 2⁻⁵? =
  34. 34.Write 90,000 in standard form as 9 × 10ⁿ. What is n?
  35. 35.Write 8,50,000 in standard form as 8.5 × 10ⁿ. What is n?
  36. 36.Write 7.2 × 10⁻² as a decimal. =
  37. 37.Write 3³ × 3⁵ as a single power 3ⁿ. What is n?
  38. 38.What is the value of 5⁵? =
  39. 39.What is the value of 3³? =
  40. 40.What is the value of 8²? =

Answer key

  1. 0.91
  2. 1
  3. 16807
  4. 36
  5. 0.087
  6. 9
  7. 490000
  8. 8
  9. 1
  10. 1/25
  11. 1/64
  12. 128
  13. 64/49
  14. 1/3125
  15. 870
  16. 7
  17. 0.0041
  18. 625
  19. 216
  20. 1/81
  21. 7
  22. 39000000
  23. 32768
  24. 0.0048
  25. 1024
  26. 4
  27. 65536
  28. 36
  29. 1/9
  30. 0.0098
  31. 760
  32. 81/4
  33. 1/4
  34. 4
  35. 5
  36. 0.072
  37. 8
  38. 3125
  39. 27
  40. 64

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