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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 90 · 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. 1.8.3 × 10³ =
  2. 2.Write 8⁴ × 8⁸ as a single power 8ⁿ. What is n?
  3. 3.Write 1.4 × 10⁻⁴ as a decimal. =
  4. 4.Write 5.8 × 10⁻¹ as a decimal. =
  5. 5.Write (7³)⁷ as a single power 7ⁿ. What is n?
  6. 6.Write (9⁸)⁴ as a single power 9ⁿ. What is n?
  7. 7.What is the value of (1/2)⁻¹? =
  8. 8.What is the value of 2¹⁵? =
  9. 9.Write 6.5 × 10⁻³ as a decimal. =
  10. 10.Write 3.8 × 10⁻¹ as a decimal. =
  11. 11.What is the value of 5¹ × 5⁻³? =
  12. 12.Write 9.1 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of 5⁷? =
  14. 14.What is the value of (3/4)⁻²? =
  15. 15.What is the value of 2¹⁴? =
  16. 16.Write 3.4 × 10⁻¹ as a decimal. =
  17. 17.Write (7⁴)⁵ as a single power 7ⁿ. What is n?
  18. 18.3.9 × 10⁷ =
  19. 19.Write 7,000 in standard form as 7 × 10ⁿ. What is n?
  20. 20.What is the value of (1/9)⁻¹? =
  21. 21.Write 8.1 × 10⁻³ as a decimal. =
  22. 22.What is the value of 3³ × 3⁻⁵? =
  23. 23.Write 6.3 × 10⁻¹ as a decimal. =
  24. 24.Write 9.4 × 10⁻² as a decimal. =
  25. 25.Write 9.6 × 10⁻² as a decimal. =
  26. 26.What is the value of 2⁵? =
  27. 27.What is the value of 7⁴? =
  28. 28.8.6 × 10² =
  29. 29.Write 2,20,000 in standard form as 2.2 × 10ⁿ. What is n?
  30. 30.Write 6⁵ × 6³ as a single power 6ⁿ. What is n?
  31. 31.Write 7⁶ × 7³ as a single power 7ⁿ. What is n?
  32. 32.What is the value of 5⁴ × 5⁻⁴? =
  33. 33.Write 6¹⁵ ÷ 6⁸ as a single power 6ⁿ. What is n?
  34. 34.What is the value of 2² × 2⁻²? =
  35. 35.Write 4⁵ × 4⁹ as a single power 4ⁿ. What is n?
  36. 36.5.2 × 10⁴ =
  37. 37.Write 27,00,000 in standard form as 2.7 × 10ⁿ. What is n?
  38. 38.Write 5¹¹ ÷ 5² as a single power 5ⁿ. What is n?
  39. 39.Write 5,600 in standard form as 5.6 × 10ⁿ. What is n?
  40. 40.8.6 × 10⁴ =

Answer key

  1. 8300
  2. 12
  3. 0.00014
  4. 0.58
  5. 21
  6. 32
  7. 2
  8. 32768
  9. 0.0065
  10. 0.38
  11. 1/25
  12. 0.00091
  13. 78125
  14. 16/9
  15. 16384
  16. 0.34
  17. 20
  18. 39000000
  19. 3
  20. 9
  21. 0.0081
  22. 1/9
  23. 0.63
  24. 0.094
  25. 0.096
  26. 32
  27. 2401
  28. 860
  29. 5
  30. 8
  31. 9
  32. 1
  33. 7
  34. 1
  35. 14
  36. 52000
  37. 6
  38. 9
  39. 3
  40. 86000

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