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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 162 · 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. 1.5.9 × 10⁴ =
  2. 2.What is the value of 5⁵? =
  3. 3.Write (4⁸)² as a single power 4ⁿ. What is n?
  4. 4.What is the value of 10² × 10⁻¹? =
  5. 5.What is the value of 8⁻³ (as a fraction)? =
  6. 6.Write 6.7 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 10⁵ × 10⁻¹? =
  8. 8.Write 57,00,000 in standard form as 5.7 × 10ⁿ. What is n?
  9. 9.What is the value of 5⁻⁴ (as a fraction)? =
  10. 10.Write 1.9 × 10⁻² as a decimal. =
  11. 11.Write 8.1 × 10⁻³ as a decimal. =
  12. 12.What is the value of 2¹⁵? =
  13. 13.Write 8² × 8⁷ as a single power 8ⁿ. What is n?
  14. 14.Write 510 in standard form as 5.1 × 10ⁿ. What is n?
  15. 15.8.6 × 10⁷ =
  16. 16.Write 6¹³ ÷ 6⁴ as a single power 6ⁿ. What is n?
  17. 17.What is the value of 4⁻² (as a fraction)? =
  18. 18.What is the value of 2⁻⁹ (as a fraction)? =
  19. 19.2.6 × 10⁷ =
  20. 20.Write 6,700 in standard form as 6.7 × 10ⁿ. What is n?
  21. 21.Write (2⁶)⁹ as a single power 2ⁿ. What is n?
  22. 22.Write 5.5 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 10⁻¹ (as a fraction)? =
  24. 24.Write 2¹⁶ ÷ 2⁸ as a single power 2ⁿ. What is n?
  25. 25.What is the value of (2/7)⁻²? =
  26. 26.What is the value of (5/7)⁻²? =
  27. 27.What is the value of 3⁵ × 3⁻³? =
  28. 28.Write 9.7 × 10⁻² as a decimal. =
  29. 29.What is the value of 2³ × 2⁻⁵? =
  30. 30.Write (2⁷)⁹ as a single power 2ⁿ. What is n?
  31. 31.What is the value of 10³ × 10⁻⁵? =
  32. 32.Write 4.6 × 10⁻² as a decimal. =
  33. 33.What is the value of 3⁶ × 3⁻⁶? =
  34. 34.What is the value of 5⁴? =
  35. 35.1.3 × 10⁷ =
  36. 36.Write 2¹¹ ÷ 2² as a single power 2ⁿ. What is n?
  37. 37.Write 1.7 × 10⁻³ as a decimal. =
  38. 38.What is the value of 5⁴ × 5⁻⁵? =
  39. 39.What is the value of 6⁻³ (as a fraction)? =
  40. 40.Write 1.3 × 10⁻² as a decimal. =

Answer key

  1. 59000
  2. 3125
  3. 16
  4. 10
  5. 1/512
  6. 0.67
  7. 10000
  8. 6
  9. 1/625
  10. 0.019
  11. 0.0081
  12. 32768
  13. 9
  14. 2
  15. 86000000
  16. 9
  17. 1/16
  18. 1/512
  19. 26000000
  20. 3
  21. 54
  22. 0.55
  23. 1/10
  24. 8
  25. 49/4
  26. 49/25
  27. 9
  28. 0.097
  29. 1/4
  30. 63
  31. 1/100
  32. 0.046
  33. 1
  34. 625
  35. 13000000
  36. 9
  37. 0.0017
  38. 1/5
  39. 1/216
  40. 0.013

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