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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 116 · 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 9.7 × 10⁻⁴ as a decimal. =
  2. 2.Write 2⁸ ÷ 2³ as a single power 2ⁿ. What is n?
  3. 3.What is the value of 2¹³? =
  4. 4.What is the value of 10³ × 10⁻⁶? =
  5. 5.Write 1.3 × 10⁻³ as a decimal. =
  6. 6.What is the value of 3⁵ × 3⁻¹? =
  7. 7.Write 8³ × 8⁵ as a single power 8ⁿ. What is n?
  8. 8.Write 7¹¹ ÷ 7³ as a single power 7ⁿ. What is n?
  9. 9.Write 1.8 × 10⁻¹ as a decimal. =
  10. 10.What is the value of 8³? =
  11. 11.Write (6⁸)³ as a single power 6ⁿ. What is n?
  12. 12.What is the value of 2⁶ × 2⁻⁵? =
  13. 13.Write (5⁵)⁷ as a single power 5ⁿ. What is n?
  14. 14.What is the value of 5⁻⁴ (as a fraction)? =
  15. 15.Write 4.5 × 10⁻³ as a decimal. =
  16. 16.What is the value of (4/7)⁻¹? =
  17. 17.What is the value of 2¹ × 2⁻²? =
  18. 18.What is the value of 5⁴? =
  19. 19.What is the value of 3⁻¹ (as a fraction)? =
  20. 20.What is the value of 10²? =
  21. 21.What is the value of 4⁶? =
  22. 22.What is the value of 5⁴ × 5⁻¹? =
  23. 23.What is the value of 3⁵? =
  24. 24.Write 9.4 × 10⁻¹ as a decimal. =
  25. 25.Write 7.4 × 10⁻¹ as a decimal. =
  26. 26.Write 1.4 × 10⁻³ as a decimal. =
  27. 27.What is the value of 3⁻⁵ (as a fraction)? =
  28. 28.Write 6.6 × 10⁻³ as a decimal. =
  29. 29.What is the value of (2/7)⁻¹? =
  30. 30.Write 9.5 × 10⁻¹ as a decimal. =
  31. 31.Write 2.1 × 10⁻² as a decimal. =
  32. 32.What is the value of 5⁻² (as a fraction)? =
  33. 33.Write 2.9 × 10⁻² as a decimal. =
  34. 34.What is the value of (5/8)⁻²? =
  35. 35.What is the value of 2⁻¹ (as a fraction)? =
  36. 36.Write 8² × 8⁹ as a single power 8ⁿ. What is n?
  37. 37.1.7 × 10⁶ =
  38. 38.Write 7,200 in standard form as 7.2 × 10ⁿ. What is n?
  39. 39.Write 1.9 × 10⁻¹ as a decimal. =
  40. 40.Write 3⁹ × 3⁶ as a single power 3ⁿ. What is n?

Answer key

  1. 0.00097
  2. 5
  3. 8192
  4. 1/1000
  5. 0.0013
  6. 81
  7. 8
  8. 8
  9. 0.18
  10. 512
  11. 24
  12. 2
  13. 35
  14. 1/625
  15. 0.0045
  16. 7/4
  17. 1/2
  18. 625
  19. 1/3
  20. 100
  21. 4096
  22. 125
  23. 243
  24. 0.94
  25. 0.74
  26. 0.0014
  27. 1/243
  28. 0.0066
  29. 7/2
  30. 0.95
  31. 0.021
  32. 1/25
  33. 0.029
  34. 64/25
  35. 1/2
  36. 11
  37. 1700000
  38. 3
  39. 0.19
  40. 15

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