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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 87 · 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 6³? =
  2. 2.Write 5.5 × 10⁻¹ as a decimal. =
  3. 3.Write 7³ × 7² as a single power 7ⁿ. What is n?
  4. 4.Write 3.1 × 10⁻⁴ as a decimal. =
  5. 5.4.6 × 10² =
  6. 6.Write 8³ × 8⁵ as a single power 8ⁿ. What is n?
  7. 7.What is the value of 3⁸? =
  8. 8.Write 7¹¹ ÷ 7² as a single power 7ⁿ. What is n?
  9. 9.What is the value of 8⁵? =
  10. 10.1.2 × 10² =
  11. 11.Write 4 × 10⁻² as a decimal. =
  12. 12.What is the value of 10⁶ × 10⁻²? =
  13. 13.Write 4.1 × 10⁻⁴ as a decimal. =
  14. 14.Write 1,400 in standard form as 1.4 × 10ⁿ. What is n?
  15. 15.Write 7,400 in standard form as 7.4 × 10ⁿ. What is n?
  16. 16.What is the value of 2⁹? =
  17. 17.What is the value of 2¹⁶? =
  18. 18.Write 7³ × 7³ as a single power 7ⁿ. What is n?
  19. 19.8.4 × 10² =
  20. 20.Write 4⁷ × 4² as a single power 4ⁿ. What is n?
  21. 21.What is the value of 2² × 2⁻²? =
  22. 22.What is the value of (3/5)⁻²? =
  23. 23.Write 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  24. 24.What is the value of (1/3)⁻¹? =
  25. 25.Write 3⁷ ÷ 3³ as a single power 3ⁿ. What is n?
  26. 26.What is the value of 3³ × 3⁻⁶? =
  27. 27.What is the value of 5² × 5⁻⁵? =
  28. 28.What is the value of 10²? =
  29. 29.Write 2.1 × 10⁻² as a decimal. =
  30. 30.What is the value of (5/8)⁻²? =
  31. 31.What is the value of 7⁻² (as a fraction)? =
  32. 32.Write 5.8 × 10⁻⁴ as a decimal. =
  33. 33.What is the value of 5⁻⁴ (as a fraction)? =
  34. 34.What is the value of 2² × 2⁻³? =
  35. 35.What is the value of 7³? =
  36. 36.What is the value of (1/7)⁻¹? =
  37. 37.Write 8⁶ × 8⁹ as a single power 8ⁿ. What is n?
  38. 38.What is the value of 5³ × 5⁻¹? =
  39. 39.What is the value of 4⁷? =
  40. 40.What is the value of 2⁶ × 2⁻⁵? =

Answer key

  1. 216
  2. 0.55
  3. 5
  4. 0.00031
  5. 460
  6. 8
  7. 6561
  8. 9
  9. 32768
  10. 120
  11. 0.04
  12. 10000
  13. 0.00041
  14. 3
  15. 3
  16. 512
  17. 65536
  18. 6
  19. 840
  20. 9
  21. 1
  22. 25/9
  23. 6
  24. 3
  25. 4
  26. 1/27
  27. 1/125
  28. 100
  29. 0.021
  30. 64/25
  31. 1/49
  32. 0.00058
  33. 1/625
  34. 1/2
  35. 343
  36. 7
  37. 15
  38. 25
  39. 16384
  40. 2

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