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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 746 · 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 2⁴? =
  2. 2.What is the value of 3² × 3⁻⁴? =
  3. 3.What is the value of 3³? =
  4. 4.What is the value of (1/5)⁻¹? =
  5. 5.What is the value of 3¹ × 3⁻⁶? =
  6. 6.What is the value of 3⁶ × 3⁻²? =
  7. 7.What is the value of 10² × 10⁻¹? =
  8. 8.9.6 × 10³ =
  9. 9.What is the value of 2² × 2⁻⁶? =
  10. 10.Write 2.9 × 10⁻³ as a decimal. =
  11. 11.What is the value of 3²? =
  12. 12.What is the value of 2⁵? =
  13. 13.Write (7⁸)² as a single power 7ⁿ. What is n?
  14. 14.Write 9.4 × 10⁻⁴ as a decimal. =
  15. 15.Write 8⁸ ÷ 8⁶ as a single power 8ⁿ. What is n?
  16. 16.Write (6⁷)⁷ as a single power 6ⁿ. What is n?
  17. 17.Write 50,00,000 in standard form as 5 × 10ⁿ. What is n?
  18. 18.What is the value of 4⁴? =
  19. 19.Write 8.9 × 10⁻¹ as a decimal. =
  20. 20.Write (3³)⁸ as a single power 3ⁿ. What is n?
  21. 21.Write 8⁸ × 8⁵ as a single power 8ⁿ. What is n?
  22. 22.8.9 × 10⁵ =
  23. 23.What is the value of 3⁷? =
  24. 24.What is the value of 10³ × 10⁻¹? =
  25. 25.Write 2⁹ ÷ 2⁴ as a single power 2ⁿ. What is n?
  26. 26.What is the value of 3⁶ × 3⁻¹? =
  27. 27.What is the value of 3⁴? =
  28. 28.What is the value of 2¹ × 2⁻²? =
  29. 29.Write 9¹⁴ ÷ 9⁷ as a single power 9ⁿ. What is n?
  30. 30.Write 7.8 × 10⁻¹ as a decimal. =
  31. 31.Write 2¹⁵ ÷ 2⁷ as a single power 2ⁿ. What is n?
  32. 32.Write 2.3 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 10¹ × 10⁻¹? =
  34. 34.Write 2.3 × 10⁻⁴ as a decimal. =
  35. 35.Write 69,000 in standard form as 6.9 × 10ⁿ. What is n?
  36. 36.What is the value of 5⁻² (as a fraction)? =
  37. 37.What is the value of 4³? =
  38. 38.What is the value of 5¹ × 5⁻⁵? =
  39. 39.Write 9⁶ × 9⁹ as a single power 9ⁿ. What is n?
  40. 40.What is the value of 2⁻¹ (as a fraction)? =

Answer key

  1. 16
  2. 1/9
  3. 27
  4. 5
  5. 1/243
  6. 81
  7. 10
  8. 9600
  9. 1/16
  10. 0.0029
  11. 9
  12. 32
  13. 16
  14. 0.00094
  15. 2
  16. 49
  17. 6
  18. 256
  19. 0.89
  20. 24
  21. 13
  22. 890000
  23. 2187
  24. 100
  25. 5
  26. 243
  27. 81
  28. 1/2
  29. 7
  30. 0.78
  31. 8
  32. 0.23
  33. 1
  34. 0.00023
  35. 4
  36. 1/25
  37. 64
  38. 1/625
  39. 15
  40. 1/2

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