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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 814 · 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 1.2 × 10⁻² as a decimal. =
  2. 2.What is the value of 2¹ × 2⁻¹? =
  3. 3.What is the value of (5/7)⁻²? =
  4. 4.2.2 × 10⁷ =
  5. 5.What is the value of 3⁹? =
  6. 6.Write 1.7 × 10⁻³ as a decimal. =
  7. 7.What is the value of 10²? =
  8. 8.What is the value of 2⁻⁵ (as a fraction)? =
  9. 9.What is the value of 10⁶ × 10⁻³? =
  10. 10.Write 6.6 × 10⁻³ as a decimal. =
  11. 11.Write 3 × 10⁻¹ as a decimal. =
  12. 12.What is the value of (1/3)⁻¹? =
  13. 13.Write 4,20,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  14. 14.What is the value of 3⁻⁵ (as a fraction)? =
  15. 15.What is the value of 5⁵ × 5⁻⁶? =
  16. 16.1.3 × 10² =
  17. 17.Write 6³ × 6⁷ as a single power 6ⁿ. What is n?
  18. 18.What is the value of 10³? =
  19. 19.Write 3³ × 3² as a single power 3ⁿ. What is n?
  20. 20.Write 970 in standard form as 9.7 × 10ⁿ. What is n?
  21. 21.Write 9.4 × 10⁻² as a decimal. =
  22. 22.2.6 × 10⁶ =
  23. 23.What is the value of 2⁹? =
  24. 24.9.7 × 10⁷ =
  25. 25.What is the value of 2⁻³ (as a fraction)? =
  26. 26.What is the value of 5⁶ × 5⁻⁶? =
  27. 27.Write 2.9 × 10⁻³ as a decimal. =
  28. 28.Write (6³)² as a single power 6ⁿ. What is n?
  29. 29.What is the value of 5⁶ × 5⁻²? =
  30. 30.What is the value of 2⁴? =
  31. 31.Write 2.3 × 10⁻² as a decimal. =
  32. 32.What is the value of (3/8)⁻²? =
  33. 33.Write (3²)⁵ as a single power 3ⁿ. What is n?
  34. 34.What is the value of 2¹ × 2⁻⁶? =
  35. 35.What is the value of 8⁻² (as a fraction)? =
  36. 36.Write 8.7 × 10⁻³ as a decimal. =
  37. 37.Write 7.3 × 10⁻² as a decimal. =
  38. 38.What is the value of 9⁴? =
  39. 39.What is the value of 2¹³? =
  40. 40.What is the value of 10⁵ × 10⁻⁶? =

Answer key

  1. 0.012
  2. 1
  3. 49/25
  4. 22000000
  5. 19683
  6. 0.0017
  7. 100
  8. 1/32
  9. 1000
  10. 0.0066
  11. 0.3
  12. 3
  13. 7
  14. 1/243
  15. 1/5
  16. 130
  17. 10
  18. 1000
  19. 5
  20. 2
  21. 0.094
  22. 2600000
  23. 512
  24. 97000000
  25. 1/8
  26. 1
  27. 0.0029
  28. 6
  29. 625
  30. 16
  31. 0.023
  32. 64/9
  33. 10
  34. 1/32
  35. 1/64
  36. 0.0087
  37. 0.073
  38. 6561
  39. 8192
  40. 1/10

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