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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 940 · 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.Write 6.2 × 10⁻³ as a decimal. =
  2. 2.What is the value of 2⁶ × 2⁻⁵? =
  3. 3.Write 3.9 × 10⁻⁴ as a decimal. =
  4. 4.3.4 × 10⁶ =
  5. 5.What is the value of 2⁶? =
  6. 6.What is the value of 10¹ × 10⁻¹? =
  7. 7.What is the value of 3³ × 3⁻⁵? =
  8. 8.What is the value of 7⁻² (as a fraction)? =
  9. 9.What is the value of 3⁶ × 3⁻³? =
  10. 10.What is the value of 10³? =
  11. 11.Write 8¹⁰ ÷ 8³ as a single power 8ⁿ. What is n?
  12. 12.What is the value of 8³? =
  13. 13.What is the value of 2³ × 2⁻¹? =
  14. 14.4.1 × 10⁶ =
  15. 15.What is the value of 4⁻⁴ (as a fraction)? =
  16. 16.What is the value of 5⁻⁴ (as a fraction)? =
  17. 17.What is the value of 5⁴ × 5⁻⁴? =
  18. 18.Write 7⁴ × 7⁸ as a single power 7ⁿ. What is n?
  19. 19.6.7 × 10⁴ =
  20. 20.Write (3⁸)⁷ as a single power 3ⁿ. What is n?
  21. 21.Write 9.7 × 10⁻² as a decimal. =
  22. 22.Write 6.5 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 6⁻² (as a fraction)? =
  24. 24.Write 7¹¹ ÷ 7⁷ as a single power 7ⁿ. What is n?
  25. 25.What is the value of 4⁴? =
  26. 26.What is the value of (8/9)⁻¹? =
  27. 27.Write 83,00,000 in standard form as 8.3 × 10ⁿ. What is n?
  28. 28.Write 1.8 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 3⁶ × 3⁻⁵? =
  30. 30.Write 6.9 × 10⁻¹ as a decimal. =
  31. 31.Write 5⁹ ÷ 5⁵ as a single power 5ⁿ. What is n?
  32. 32.What is the value of 2¹⁰? =
  33. 33.What is the value of 3¹⁰? =
  34. 34.What is the value of 7⁵? =
  35. 35.Write 2.5 × 10⁻³ as a decimal. =
  36. 36.5.8 × 10² =
  37. 37.7 × 10⁵ =
  38. 38.Write 3.5 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of 5² × 5⁻⁴? =
  40. 40.Write 5⁷ × 5⁹ as a single power 5ⁿ. What is n?

Answer key

  1. 0.0062
  2. 2
  3. 0.00039
  4. 3400000
  5. 64
  6. 1
  7. 1/9
  8. 1/49
  9. 27
  10. 1000
  11. 7
  12. 512
  13. 4
  14. 4100000
  15. 1/256
  16. 1/625
  17. 1
  18. 12
  19. 67000
  20. 56
  21. 0.097
  22. 0.00065
  23. 1/36
  24. 4
  25. 256
  26. 9/8
  27. 6
  28. 0.18
  29. 3
  30. 0.69
  31. 4
  32. 1024
  33. 59049
  34. 16807
  35. 0.0025
  36. 580
  37. 700000
  38. 0.00035
  39. 1/25
  40. 16

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