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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 428 · 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. 1.4.5 × 10⁴ =
  2. 2.What is the value of 6²? =
  3. 3.What is the value of 2¹⁵? =
  4. 4.What is the value of (7/8)⁻²? =
  5. 5.What is the value of 10¹ × 10⁻²? =
  6. 6.Write (8⁷)⁴ as a single power 8ⁿ. What is n?
  7. 7.Write 1.5 × 10⁻¹ as a decimal. =
  8. 8.Write 3 × 10⁻³ as a decimal. =
  9. 9.What is the value of 3⁴ × 3⁻¹? =
  10. 10.2.5 × 10⁵ =
  11. 11.What is the value of 5² × 5⁻⁴? =
  12. 12.What is the value of 2⁷? =
  13. 13.Write 4.6 × 10⁻¹ as a decimal. =
  14. 14.Write (4³)³ as a single power 4ⁿ. What is n?
  15. 15.Write (4⁵)⁷ as a single power 4ⁿ. What is n?
  16. 16.Write 7.8 × 10⁻³ as a decimal. =
  17. 17.What is the value of 5⁻¹ (as a fraction)? =
  18. 18.What is the value of 8³? =
  19. 19.Write 8.4 × 10⁻³ as a decimal. =
  20. 20.What is the value of 2⁴ × 2⁻⁶? =
  21. 21.What is the value of 5⁻² (as a fraction)? =
  22. 22.What is the value of 8²? =
  23. 23.Write 6⁵ × 6⁵ as a single power 6ⁿ. What is n?
  24. 24.3.6 × 10⁴ =
  25. 25.Write 9.3 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 4⁻⁴ (as a fraction)? =
  27. 27.What is the value of (7/9)⁻²? =
  28. 28.Write 5.7 × 10⁻² as a decimal. =
  29. 29.Write 8³ × 8⁴ as a single power 8ⁿ. What is n?
  30. 30.What is the value of 7⁻² (as a fraction)? =
  31. 31.Write 9⁵ ÷ 9² as a single power 9ⁿ. What is n?
  32. 32.What is the value of 3⁵ × 3⁻⁶? =
  33. 33.What is the value of 10⁻² (as a fraction)? =
  34. 34.Write 2.3 × 10⁻³ as a decimal. =
  35. 35.Write 8⁷ × 8⁴ as a single power 8ⁿ. What is n?
  36. 36.Write 2⁶ × 2² as a single power 2ⁿ. What is n?
  37. 37.What is the value of 2⁻⁵ (as a fraction)? =
  38. 38.1.8 × 10⁵ =
  39. 39.What is the value of 2¹⁴? =
  40. 40.Write 4.1 × 10⁻² as a decimal. =

Answer key

  1. 45000
  2. 36
  3. 32768
  4. 64/49
  5. 1/10
  6. 28
  7. 0.15
  8. 0.003
  9. 27
  10. 250000
  11. 1/25
  12. 128
  13. 0.46
  14. 9
  15. 35
  16. 0.0078
  17. 1/5
  18. 512
  19. 0.0084
  20. 1/4
  21. 1/25
  22. 64
  23. 10
  24. 36000
  25. 0.00093
  26. 1/256
  27. 81/49
  28. 0.057
  29. 7
  30. 1/49
  31. 3
  32. 1/3
  33. 1/100
  34. 0.0023
  35. 11
  36. 8
  37. 1/32
  38. 180000
  39. 16384
  40. 0.041

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