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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 417 · 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 6⁹ × 6⁹ as a single power 6ⁿ. What is n?
  2. 2.What is the value of 5¹ × 5⁻¹? =
  3. 3.What is the value of (7/8)⁻¹? =
  4. 4.1.6 × 10⁷ =
  5. 5.Write 9.2 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 3⁴ × 3⁻³? =
  7. 7.What is the value of 3⁶ × 3⁻⁵? =
  8. 8.What is the value of 4⁸? =
  9. 9.What is the value of 2⁹? =
  10. 10.Write 8³ × 8⁶ as a single power 8ⁿ. What is n?
  11. 11.What is the value of 2¹ × 2⁻⁵? =
  12. 12.Write 8² × 8⁶ as a single power 8ⁿ. What is n?
  13. 13.Write 7⁸ × 7² as a single power 7ⁿ. What is n?
  14. 14.Write 1.5 × 10⁻⁴ as a decimal. =
  15. 15.Write 8.5 × 10⁻¹ as a decimal. =
  16. 16.What is the value of 10¹ × 10⁻²? =
  17. 17.What is the value of 4⁻⁴ (as a fraction)? =
  18. 18.Write (7²)⁶ as a single power 7ⁿ. What is n?
  19. 19.What is the value of 2⁻⁷ (as a fraction)? =
  20. 20.Write 5.7 × 10⁻³ as a decimal. =
  21. 21.What is the value of 3⁹? =
  22. 22.What is the value of 10⁵? =
  23. 23.What is the value of 2⁵ × 2⁻⁶? =
  24. 24.Write 7,20,00,000 in standard form as 7.2 × 10ⁿ. What is n?
  25. 25.What is the value of 7⁻² (as a fraction)? =
  26. 26.Write 5⁸ ÷ 5⁴ as a single power 5ⁿ. What is n?
  27. 27.Write 8.4 × 10⁻⁴ as a decimal. =
  28. 28.Write 1.1 × 10⁻⁴ as a decimal. =
  29. 29.What is the value of 10⁵ × 10⁻³? =
  30. 30.What is the value of 3³ × 3⁻¹? =
  31. 31.What is the value of 7³? =
  32. 32.Write (8⁸)⁷ as a single power 8ⁿ. What is n?
  33. 33.What is the value of 2⁻⁸ (as a fraction)? =
  34. 34.What is the value of (1/9)⁻¹? =
  35. 35.Write 6.3 × 10⁻³ as a decimal. =
  36. 36.2.8 × 10⁵ =
  37. 37.8.5 × 10⁴ =
  38. 38.Write 7⁶ × 7⁴ as a single power 7ⁿ. What is n?
  39. 39.What is the value of 10⁵ × 10⁻⁵? =
  40. 40.What is the value of 2⁻⁵ (as a fraction)? =

Answer key

  1. 18
  2. 1
  3. 8/7
  4. 16000000
  5. 0.00092
  6. 3
  7. 3
  8. 65536
  9. 512
  10. 9
  11. 1/16
  12. 8
  13. 10
  14. 0.00015
  15. 0.85
  16. 1/10
  17. 1/256
  18. 12
  19. 1/128
  20. 0.0057
  21. 19683
  22. 100000
  23. 1/2
  24. 7
  25. 1/49
  26. 4
  27. 0.00084
  28. 0.00011
  29. 100
  30. 9
  31. 343
  32. 56
  33. 1/256
  34. 9
  35. 0.0063
  36. 280000
  37. 85000
  38. 10
  39. 1
  40. 1/32

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