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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 890 · 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 3⁶? =
  2. 2.What is the value of 10⁵? =
  3. 3.What is the value of 3³? =
  4. 4.Write 5.7 × 10⁻² as a decimal. =
  5. 5.What is the value of (1/2)⁻¹? =
  6. 6.Write 360 in standard form as 3.6 × 10ⁿ. What is n?
  7. 7.Write 1.3 × 10⁻¹ as a decimal. =
  8. 8.5.3 × 10³ =
  9. 9.What is the value of 2¹ × 2⁻⁶? =
  10. 10.Write 9⁹ ÷ 9⁷ as a single power 9ⁿ. What is n?
  11. 11.Write 2.9 × 10⁻³ as a decimal. =
  12. 12.Write 8 × 10⁻³ as a decimal. =
  13. 13.6.9 × 10⁴ =
  14. 14.What is the value of 5⁴? =
  15. 15.Write 7.7 × 10⁻⁴ as a decimal. =
  16. 16.What is the value of (1/2)⁻²? =
  17. 17.Write 4¹⁶ ÷ 4⁷ as a single power 4ⁿ. What is n?
  18. 18.What is the value of (1/5)⁻¹? =
  19. 19.What is the value of 3⁶ × 3⁻¹? =
  20. 20.Write 8.1 × 10⁻⁴ as a decimal. =
  21. 21.8.9 × 10² =
  22. 22.What is the value of (2/9)⁻²? =
  23. 23.Write 2.3 × 10⁻² as a decimal. =
  24. 24.Write 2¹¹ ÷ 2⁹ as a single power 2ⁿ. What is n?
  25. 25.What is the value of 4⁻¹ (as a fraction)? =
  26. 26.Write 17,000 in standard form as 1.7 × 10ⁿ. What is n?
  27. 27.What is the value of 5⁴ × 5⁻¹? =
  28. 28.Write 9.5 × 10⁻⁴ as a decimal. =
  29. 29.2.4 × 10⁷ =
  30. 30.Write 2¹⁴ ÷ 2⁶ as a single power 2ⁿ. What is n?
  31. 31.2.4 × 10³ =
  32. 32.What is the value of 9⁻¹ (as a fraction)? =
  33. 33.What is the value of 3²? =
  34. 34.What is the value of 7²? =
  35. 35.Write 6⁷ ÷ 6⁵ as a single power 6ⁿ. What is n?
  36. 36.What is the value of 8³? =
  37. 37.Write 8 × 10⁻⁴ as a decimal. =
  38. 38.Write (3⁴)³ as a single power 3ⁿ. What is n?
  39. 39.What is the value of 2¹³? =
  40. 40.What is the value of 10⁶ × 10⁻⁵? =

Answer key

  1. 729
  2. 100000
  3. 27
  4. 0.057
  5. 2
  6. 2
  7. 0.13
  8. 5300
  9. 1/32
  10. 2
  11. 0.0029
  12. 0.008
  13. 69000
  14. 625
  15. 0.00077
  16. 4
  17. 9
  18. 5
  19. 243
  20. 0.00081
  21. 890
  22. 81/4
  23. 0.023
  24. 2
  25. 1/4
  26. 4
  27. 125
  28. 0.00095
  29. 24000000
  30. 8
  31. 2400
  32. 1/9
  33. 9
  34. 49
  35. 2
  36. 512
  37. 0.0008
  38. 12
  39. 8192
  40. 10

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