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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 687 · 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.Write 3.6 × 10⁻³ as a decimal. =
  2. 2.Write 29,00,000 in standard form as 2.9 × 10ⁿ. What is n?
  3. 3.What is the value of (5/6)⁻²? =
  4. 4.8.1 × 10³ =
  5. 5.Write 8,00,000 in standard form as 8 × 10ⁿ. What is n?
  6. 6.What is the value of 2⁻⁴ (as a fraction)? =
  7. 7.Write 6,600 in standard form as 6.6 × 10ⁿ. What is n?
  8. 8.Write (7⁵)⁴ as a single power 7ⁿ. What is n?
  9. 9.What is the value of (2/7)⁻¹? =
  10. 10.Write 5.3 × 10⁻¹ as a decimal. =
  11. 11.Write 7.1 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 10³ × 10⁻⁶? =
  13. 13.Write 5.5 × 10⁻³ as a decimal. =
  14. 14.What is the value of 5⁻¹ (as a fraction)? =
  15. 15.What is the value of 5⁴? =
  16. 16.Write 2.7 × 10⁻³ as a decimal. =
  17. 17.What is the value of 10³? =
  18. 18.Write (7⁸)² as a single power 7ⁿ. What is n?
  19. 19.1.4 × 10⁴ =
  20. 20.What is the value of 5² × 5⁻⁴? =
  21. 21.What is the value of 9⁴? =
  22. 22.What is the value of 2¹⁰? =
  23. 23.What is the value of 5⁶? =
  24. 24.Write 6.2 × 10⁻¹ as a decimal. =
  25. 25.Write 5.8 × 10⁻¹ as a decimal. =
  26. 26.7.1 × 10² =
  27. 27.What is the value of (2/9)⁻¹? =
  28. 28.1.9 × 10⁷ =
  29. 29.Write 6⁴ × 6⁷ as a single power 6ⁿ. What is n?
  30. 30.Write (8⁴)⁴ as a single power 8ⁿ. What is n?
  31. 31.What is the value of 2⁶ × 2⁻⁴? =
  32. 32.What is the value of (7/9)⁻¹? =
  33. 33.What is the value of 2³? =
  34. 34.What is the value of 2³ × 2⁻¹? =
  35. 35.Write 9,90,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  36. 36.Write 6,20,00,000 in standard form as 6.2 × 10ⁿ. What is n?
  37. 37.Write (6⁴)⁸ as a single power 6ⁿ. What is n?
  38. 38.What is the value of (5/9)⁻¹? =
  39. 39.Write 9.2 × 10⁻³ as a decimal. =
  40. 40.What is the value of 2¹ × 2⁻⁵? =

Answer key

  1. 0.0036
  2. 6
  3. 36/25
  4. 8100
  5. 5
  6. 1/16
  7. 3
  8. 20
  9. 7/2
  10. 0.53
  11. 0.71
  12. 1/1000
  13. 0.0055
  14. 1/5
  15. 625
  16. 0.0027
  17. 1000
  18. 16
  19. 14000
  20. 1/25
  21. 6561
  22. 1024
  23. 15625
  24. 0.62
  25. 0.58
  26. 710
  27. 9/2
  28. 19000000
  29. 11
  30. 16
  31. 4
  32. 9/7
  33. 8
  34. 4
  35. 7
  36. 7
  37. 32
  38. 9/5
  39. 0.0092
  40. 1/16

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