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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 951 · 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 2⁻⁵ (as a fraction)? =
  2. 2.What is the value of 2⁸? =
  3. 3.Write 9¹⁰ ÷ 9³ as a single power 9ⁿ. What is n?
  4. 4.What is the value of (2/7)⁻¹? =
  5. 5.Write 6 × 10⁻³ as a decimal. =
  6. 6.What is the value of 2¹ × 2⁻³? =
  7. 7.Write 460 in standard form as 4.6 × 10ⁿ. What is n?
  8. 8.Write 1.2 × 10⁻² as a decimal. =
  9. 9.What is the value of 2⁹? =
  10. 10.What is the value of 3³? =
  11. 11.What is the value of 2¹³? =
  12. 12.5.7 × 10³ =
  13. 13.What is the value of 10² × 10⁻²? =
  14. 14.Write 190 in standard form as 1.9 × 10ⁿ. What is n?
  15. 15.What is the value of 3⁻¹ (as a fraction)? =
  16. 16.Write 4.9 × 10⁻³ as a decimal. =
  17. 17.Write 9.1 × 10⁻⁴ as a decimal. =
  18. 18.Write 8.3 × 10⁻³ as a decimal. =
  19. 19.What is the value of 7⁻³ (as a fraction)? =
  20. 20.What is the value of 4⁶? =
  21. 21.What is the value of 10⁴ × 10⁻⁶? =
  22. 22.Write 7⁴ ÷ 7² as a single power 7ⁿ. What is n?
  23. 23.Write 900 in standard form as 9 × 10ⁿ. What is n?
  24. 24.What is the value of 2³ × 2⁻⁴? =
  25. 25.What is the value of 5⁶ × 5⁻⁴? =
  26. 26.9.5 × 10⁷ =
  27. 27.Write 4.5 × 10⁻³ as a decimal. =
  28. 28.What is the value of 3⁶ × 3⁻³? =
  29. 29.Write 1,20,000 in standard form as 1.2 × 10ⁿ. What is n?
  30. 30.Write 6² × 6⁴ as a single power 6ⁿ. What is n?
  31. 31.What is the value of 2⁷? =
  32. 32.8 × 10⁵ =
  33. 33.What is the value of 2⁻¹ (as a fraction)? =
  34. 34.4.4 × 10³ =
  35. 35.What is the value of 5¹ × 5⁻¹? =
  36. 36.Write (8⁹)⁸ as a single power 8ⁿ. What is n?
  37. 37.Write (6²)⁷ as a single power 6ⁿ. What is n?
  38. 38.What is the value of (1/3)⁻¹? =
  39. 39.3.6 × 10⁷ =
  40. 40.What is the value of 3² × 3⁻⁵? =

Answer key

  1. 1/32
  2. 256
  3. 7
  4. 7/2
  5. 0.006
  6. 1/4
  7. 2
  8. 0.012
  9. 512
  10. 27
  11. 8192
  12. 5700
  13. 1
  14. 2
  15. 1/3
  16. 0.0049
  17. 0.00091
  18. 0.0083
  19. 1/343
  20. 4096
  21. 1/100
  22. 2
  23. 2
  24. 1/2
  25. 25
  26. 95000000
  27. 0.0045
  28. 27
  29. 5
  30. 6
  31. 128
  32. 800000
  33. 1/2
  34. 4400
  35. 1
  36. 72
  37. 14
  38. 3
  39. 36000000
  40. 1/27

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