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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 440 · 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 9⁸ × 9⁵ as a single power 9ⁿ. What is n?
  2. 2.What is the value of 2¹⁵? =
  3. 3.Write 5,60,000 in standard form as 5.6 × 10ⁿ. What is n?
  4. 4.What is the value of 7⁻² (as a fraction)? =
  5. 5.What is the value of 2⁴ × 2⁻¹? =
  6. 6.7.7 × 10⁶ =
  7. 7.Write 6.1 × 10⁻¹ as a decimal. =
  8. 8.What is the value of 2⁹? =
  9. 9.What is the value of 10⁴ × 10⁻⁶? =
  10. 10.What is the value of 10⁵ × 10⁻⁴? =
  11. 11.What is the value of 8²? =
  12. 12.Write 5 × 10⁻³ as a decimal. =
  13. 13.What is the value of 5⁶? =
  14. 14.What is the value of 4²? =
  15. 15.What is the value of 2⁵? =
  16. 16.Write 8⁹ × 8² as a single power 8ⁿ. What is n?
  17. 17.Write 3.7 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of 2¹¹? =
  19. 19.Write 2,000 in standard form as 2 × 10ⁿ. What is n?
  20. 20.5.3 × 10⁷ =
  21. 21.Write 1.1 × 10⁻² as a decimal. =
  22. 22.Write 2⁸ × 2⁴ as a single power 2ⁿ. What is n?
  23. 23.4.4 × 10³ =
  24. 24.What is the value of 3³ × 3⁻³? =
  25. 25.What is the value of 2¹⁴? =
  26. 26.What is the value of 3³? =
  27. 27.Write 9.1 × 10⁻³ as a decimal. =
  28. 28.Write (4²)² as a single power 4ⁿ. What is n?
  29. 29.Write 3 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 3⁻⁶ (as a fraction)? =
  31. 31.What is the value of 2¹³? =
  32. 32.Write 360 in standard form as 3.6 × 10ⁿ. What is n?
  33. 33.Write (9⁴)⁹ as a single power 9ⁿ. What is n?
  34. 34.Write 4.2 × 10⁻³ as a decimal. =
  35. 35.What is the value of 2² × 2⁻⁵? =
  36. 36.Write 9⁹ × 9⁶ as a single power 9ⁿ. What is n?
  37. 37.What is the value of 2⁶? =
  38. 38.What is the value of 7⁵? =
  39. 39.What is the value of 5⁵? =
  40. 40.Write 8.1 × 10⁻¹ as a decimal. =

Answer key

  1. 13
  2. 32768
  3. 5
  4. 1/49
  5. 8
  6. 7700000
  7. 0.61
  8. 512
  9. 1/100
  10. 10
  11. 64
  12. 0.005
  13. 15625
  14. 16
  15. 32
  16. 11
  17. 0.00037
  18. 2048
  19. 3
  20. 53000000
  21. 0.011
  22. 12
  23. 4400
  24. 1
  25. 16384
  26. 27
  27. 0.0091
  28. 4
  29. 0.0003
  30. 1/729
  31. 8192
  32. 2
  33. 36
  34. 0.0042
  35. 1/8
  36. 15
  37. 64
  38. 16807
  39. 3125
  40. 0.81

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