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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 518 · 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 8³? =
  2. 2.8.4 × 10⁴ =
  3. 3.Write 1.7 × 10⁻⁴ as a decimal. =
  4. 4.Write 2,40,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  5. 5.What is the value of 2⁴ × 2⁻⁴? =
  6. 6.Write 6.5 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 4⁻² (as a fraction)? =
  8. 8.What is the value of 2¹ × 2⁻⁴? =
  9. 9.3.3 × 10² =
  10. 10.Write 2,200 in standard form as 2.2 × 10ⁿ. What is n?
  11. 11.Write 7⁷ ÷ 7⁵ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 2⁴ × 2⁻¹? =
  13. 13.What is the value of 5¹ × 5⁻⁴? =
  14. 14.Write 9.1 × 10⁻³ as a decimal. =
  15. 15.What is the value of 7⁻² (as a fraction)? =
  16. 16.What is the value of 4³? =
  17. 17.Write (9⁴)⁷ as a single power 9ⁿ. What is n?
  18. 18.Write 790 in standard form as 7.9 × 10ⁿ. What is n?
  19. 19.Write 3.7 × 10⁻³ as a decimal. =
  20. 20.What is the value of 3¹ × 3⁻⁴? =
  21. 21.Write 6.8 × 10⁻² as a decimal. =
  22. 22.What is the value of 3² × 3⁻⁴? =
  23. 23.Write 3.4 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 5⁶ × 5⁻⁵? =
  25. 25.2.8 × 10⁴ =
  26. 26.What is the value of 3⁸? =
  27. 27.Write 8 × 10⁻³ as a decimal. =
  28. 28.Write 2.9 × 10⁻³ as a decimal. =
  29. 29.What is the value of 2³ × 2⁻¹? =
  30. 30.What is the value of 3² × 3⁻⁶? =
  31. 31.Write 940 in standard form as 9.4 × 10ⁿ. What is n?
  32. 32.What is the value of 8⁵? =
  33. 33.What is the value of (1/8)⁻¹? =
  34. 34.What is the value of 10¹ × 10⁻⁵? =
  35. 35.What is the value of 6²? =
  36. 36.What is the value of 9²? =
  37. 37.What is the value of 5¹ × 5⁻³? =
  38. 38.Write 2.1 × 10⁻³ as a decimal. =
  39. 39.Write 7⁶ × 7⁶ as a single power 7ⁿ. What is n?
  40. 40.Write 5.6 × 10⁻² as a decimal. =

Answer key

  1. 512
  2. 84000
  3. 0.00017
  4. 7
  5. 1
  6. 0.65
  7. 1/16
  8. 1/8
  9. 330
  10. 3
  11. 2
  12. 8
  13. 1/125
  14. 0.0091
  15. 1/49
  16. 64
  17. 28
  18. 2
  19. 0.0037
  20. 1/27
  21. 0.068
  22. 1/9
  23. 0.34
  24. 5
  25. 28000
  26. 6561
  27. 0.008
  28. 0.0029
  29. 4
  30. 1/81
  31. 2
  32. 32768
  33. 8
  34. 1/10000
  35. 36
  36. 81
  37. 1/25
  38. 0.0021
  39. 12
  40. 0.056

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