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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 509 · 40 sums
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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. 1.1.1 × 10⁶ =
  2. 2.Write 4¹³ ÷ 4⁷ as a single power 4ⁿ. What is n?
  3. 3.Write 7.2 × 10⁻² as a decimal. =
  4. 4.What is the value of 5⁶? =
  5. 5.Write 9.5 × 10⁻³ as a decimal. =
  6. 6.What is the value of 10³ × 10⁻⁴? =
  7. 7.What is the value of 5⁵ × 5⁻¹? =
  8. 8.Write 6,000 in standard form as 6 × 10ⁿ. What is n?
  9. 9.8.6 × 10⁶ =
  10. 10.What is the value of (3/5)⁻¹? =
  11. 11.Write 6⁵ × 6⁶ as a single power 6ⁿ. What is n?
  12. 12.What is the value of 5³ × 5⁻⁵? =
  13. 13.What is the value of 2⁴? =
  14. 14.Write 1.9 × 10⁻² as a decimal. =
  15. 15.Write 4.5 × 10⁻¹ as a decimal. =
  16. 16.What is the value of (5/8)⁻²? =
  17. 17.What is the value of 10² × 10⁻²? =
  18. 18.1.1 × 10⁷ =
  19. 19.Write 5,80,00,000 in standard form as 5.8 × 10ⁿ. What is n?
  20. 20.Write 6 × 10⁻¹ as a decimal. =
  21. 21.Write 4⁶ ÷ 4² as a single power 4ⁿ. What is n?
  22. 22.What is the value of 2⁴ × 2⁻⁶? =
  23. 23.Write 4¹⁴ ÷ 4⁹ as a single power 4ⁿ. What is n?
  24. 24.Write 6.7 × 10⁻³ as a decimal. =
  25. 25.What is the value of (4/5)⁻²? =
  26. 26.What is the value of 10¹ × 10⁻⁴? =
  27. 27.Write 4.7 × 10⁻³ as a decimal. =
  28. 28.What is the value of 2⁶ × 2⁻³? =
  29. 29.2.5 × 10⁶ =
  30. 30.Write 8.4 × 10⁻² as a decimal. =
  31. 31.Write 8⁵ ÷ 8³ as a single power 8ⁿ. What is n?
  32. 32.Write 9,20,00,000 in standard form as 9.2 × 10ⁿ. What is n?
  33. 33.What is the value of (3/4)⁻¹? =
  34. 34.Write 9.2 × 10⁻³ as a decimal. =
  35. 35.What is the value of 2⁷? =
  36. 36.What is the value of 5³? =
  37. 37.Write 4¹² ÷ 4⁵ as a single power 4ⁿ. What is n?
  38. 38.What is the value of 2⁶ × 2⁻²? =
  39. 39.Write 2³ × 2² as a single power 2ⁿ. What is n?
  40. 40.What is the value of 3²? =

Answer key

  1. 1100000
  2. 6
  3. 0.072
  4. 15625
  5. 0.0095
  6. 1/10
  7. 625
  8. 3
  9. 8600000
  10. 5/3
  11. 11
  12. 1/25
  13. 16
  14. 0.019
  15. 0.45
  16. 64/25
  17. 1
  18. 11000000
  19. 7
  20. 0.6
  21. 4
  22. 1/4
  23. 5
  24. 0.0067
  25. 25/16
  26. 1/1000
  27. 0.0047
  28. 8
  29. 2500000
  30. 0.084
  31. 2
  32. 7
  33. 4/3
  34. 0.0092
  35. 128
  36. 125
  37. 7
  38. 16
  39. 5
  40. 9

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