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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 696 · 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 2.4 × 10⁻⁴ as a decimal. =
  2. 2.Write (7⁴)⁹ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 3²? =
  4. 4.What is the value of 6⁴? =
  5. 5.What is the value of 2⁻⁴ (as a fraction)? =
  6. 6.What is the value of 2⁶? =
  7. 7.What is the value of 2⁻⁷ (as a fraction)? =
  8. 8.2.4 × 10² =
  9. 9.Write 8⁴ × 8⁴ as a single power 8ⁿ. What is n?
  10. 10.Write 4¹⁰ ÷ 4³ as a single power 4ⁿ. What is n?
  11. 11.Write 8.7 × 10⁻³ as a decimal. =
  12. 12.What is the value of 2⁹? =
  13. 13.Write 8.4 × 10⁻² as a decimal. =
  14. 14.What is the value of 3⁻⁵ (as a fraction)? =
  15. 15.Write 9,80,000 in standard form as 9.8 × 10ⁿ. What is n?
  16. 16.Write 6.7 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 3¹⁰? =
  18. 18.Write 48,000 in standard form as 4.8 × 10ⁿ. What is n?
  19. 19.What is the value of (1/4)⁻²? =
  20. 20.What is the value of 4⁵? =
  21. 21.Write 8.3 × 10⁻³ as a decimal. =
  22. 22.Write 2,80,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  23. 23.What is the value of 8⁴? =
  24. 24.What is the value of 10⁴ × 10⁻³? =
  25. 25.What is the value of 9⁵? =
  26. 26.6 × 10⁴ =
  27. 27.Write (5⁴)² as a single power 5ⁿ. What is n?
  28. 28.Write 51,000 in standard form as 5.1 × 10ⁿ. What is n?
  29. 29.What is the value of (8/9)⁻¹? =
  30. 30.What is the value of (3/7)⁻¹? =
  31. 31.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  32. 32.Write 5⁴ × 5⁶ as a single power 5ⁿ. What is n?
  33. 33.Write 8⁷ × 8⁹ as a single power 8ⁿ. What is n?
  34. 34.What is the value of 3¹ × 3⁻⁵? =
  35. 35.What is the value of 2²? =
  36. 36.Write 7.6 × 10⁻¹ as a decimal. =
  37. 37.What is the value of 3⁷? =
  38. 38.Write 4.9 × 10⁻⁴ as a decimal. =
  39. 39.Write 42,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  40. 40.2.2 × 10⁵ =

Answer key

  1. 0.00024
  2. 36
  3. 9
  4. 1296
  5. 1/16
  6. 64
  7. 1/128
  8. 240
  9. 8
  10. 7
  11. 0.0087
  12. 512
  13. 0.084
  14. 1/243
  15. 5
  16. 0.67
  17. 59049
  18. 4
  19. 16
  20. 1024
  21. 0.0083
  22. 7
  23. 4096
  24. 10
  25. 59049
  26. 60000
  27. 8
  28. 4
  29. 9/8
  30. 7/3
  31. 4
  32. 10
  33. 16
  34. 1/81
  35. 4
  36. 0.76
  37. 2187
  38. 0.00049
  39. 6
  40. 220000

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