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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 858 · 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 (5/9)⁻¹? =
  2. 2.Write 3.8 × 10⁻³ as a decimal. =
  3. 3.What is the value of 4⁻¹ (as a fraction)? =
  4. 4.What is the value of 2⁻² (as a fraction)? =
  5. 5.Write 6,40,000 in standard form as 6.4 × 10ⁿ. What is n?
  6. 6.Write 7.3 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 3⁵? =
  8. 8.What is the value of 2² × 2⁻¹? =
  9. 9.Write 4.5 × 10⁻⁴ as a decimal. =
  10. 10.Write 8,70,00,000 in standard form as 8.7 × 10ⁿ. What is n?
  11. 11.Write 2⁴ × 2³ as a single power 2ⁿ. What is n?
  12. 12.Write 2.2 × 10⁻¹ as a decimal. =
  13. 13.What is the value of 2⁷? =
  14. 14.Write 5.7 × 10⁻³ as a decimal. =
  15. 15.Write (2²)⁵ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 9⁵? =
  17. 17.Write 4.6 × 10⁻² as a decimal. =
  18. 18.What is the value of 8⁴? =
  19. 19.Write 4⁷ × 4⁸ as a single power 4ⁿ. What is n?
  20. 20.Write (5²)⁸ as a single power 5ⁿ. What is n?
  21. 21.What is the value of 6⁵? =
  22. 22.Write 5.2 × 10⁻⁴ as a decimal. =
  23. 23.Write 5.7 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 3⁹? =
  25. 25.Write 3.2 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 4³? =
  27. 27.Write 240 in standard form as 2.4 × 10ⁿ. What is n?
  28. 28.4.9 × 10³ =
  29. 29.What is the value of 3³ × 3⁻²? =
  30. 30.Write (6⁹)³ as a single power 6ⁿ. What is n?
  31. 31.Write 4⁸ × 4⁵ as a single power 4ⁿ. What is n?
  32. 32.Write 7.3 × 10⁻³ as a decimal. =
  33. 33.Write (7³)⁷ as a single power 7ⁿ. What is n?
  34. 34.What is the value of 9⁻¹ (as a fraction)? =
  35. 35.Write 3⁹ ÷ 3² as a single power 3ⁿ. What is n?
  36. 36.What is the value of 5⁶ × 5⁻²? =
  37. 37.Write 9⁶ × 9⁷ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 8³? =
  39. 39.What is the value of 3⁻⁴ (as a fraction)? =
  40. 40.What is the value of 2¹²? =

Answer key

  1. 9/5
  2. 0.0038
  3. 1/4
  4. 1/4
  5. 5
  6. 0.73
  7. 243
  8. 2
  9. 0.00045
  10. 7
  11. 7
  12. 0.22
  13. 128
  14. 0.0057
  15. 10
  16. 59049
  17. 0.046
  18. 4096
  19. 15
  20. 16
  21. 7776
  22. 0.00052
  23. 0.57
  24. 19683
  25. 0.00032
  26. 64
  27. 2
  28. 4900
  29. 3
  30. 27
  31. 13
  32. 0.0073
  33. 21
  34. 1/9
  35. 7
  36. 625
  37. 13
  38. 512
  39. 1/81
  40. 4096

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