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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 942 · 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 10⁶ × 10⁻¹? =
  2. 2.Write (6²)³ as a single power 6ⁿ. What is n?
  3. 3.1.5 × 10³ =
  4. 4.What is the value of 2⁷? =
  5. 5.Write 1.8 × 10⁻² as a decimal. =
  6. 6.Write 3.4 × 10⁻² as a decimal. =
  7. 7.What is the value of 2⁵ × 2⁻⁵? =
  8. 8.Write 4¹⁵ ÷ 4⁸ as a single power 4ⁿ. What is n?
  9. 9.Write (6³)⁵ as a single power 6ⁿ. What is n?
  10. 10.What is the value of (1/9)⁻²? =
  11. 11.What is the value of 2⁸? =
  12. 12.What is the value of 2¹⁴? =
  13. 13.Write 1.7 × 10⁻⁴ as a decimal. =
  14. 14.Write 3.7 × 10⁻² as a decimal. =
  15. 15.What is the value of 6⁻² (as a fraction)? =
  16. 16.3.2 × 10⁵ =
  17. 17.4.9 × 10⁴ =
  18. 18.What is the value of 5⁵ × 5⁻⁴? =
  19. 19.What is the value of 5⁷? =
  20. 20.What is the value of 3⁹? =
  21. 21.Write 2,60,000 in standard form as 2.6 × 10ⁿ. What is n?
  22. 22.What is the value of 9⁴? =
  23. 23.What is the value of (5/6)⁻¹? =
  24. 24.What is the value of (1/4)⁻²? =
  25. 25.What is the value of 10¹ × 10⁻¹? =
  26. 26.What is the value of 2¹¹? =
  27. 27.What is the value of 2⁻⁵ (as a fraction)? =
  28. 28.Write 1.4 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 2⁴ × 2⁻⁴? =
  30. 30.What is the value of 7³? =
  31. 31.What is the value of 2⁹? =
  32. 32.What is the value of 8²? =
  33. 33.What is the value of 6⁵? =
  34. 34.What is the value of (1/9)⁻¹? =
  35. 35.What is the value of 2⁻⁹ (as a fraction)? =
  36. 36.What is the value of 3¹⁰? =
  37. 37.Write 4.6 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 10¹ × 10⁻⁶? =
  39. 39.What is the value of 10⁻³ (as a fraction)? =
  40. 40.What is the value of 3⁴ × 3⁻⁵? =

Answer key

  1. 100000
  2. 6
  3. 1500
  4. 128
  5. 0.018
  6. 0.034
  7. 1
  8. 7
  9. 15
  10. 81
  11. 256
  12. 16384
  13. 0.00017
  14. 0.037
  15. 1/36
  16. 320000
  17. 49000
  18. 5
  19. 78125
  20. 19683
  21. 5
  22. 6561
  23. 6/5
  24. 16
  25. 1
  26. 2048
  27. 1/32
  28. 0.14
  29. 1
  30. 343
  31. 512
  32. 64
  33. 7776
  34. 9
  35. 1/512
  36. 59049
  37. 0.00046
  38. 1/100000
  39. 1/1000
  40. 1/3

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