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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 280 · 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 1.9 × 10⁻³ as a decimal. =
  2. 2.What is the value of 2⁻⁶ (as a fraction)? =
  3. 3.What is the value of 2⁻⁷ (as a fraction)? =
  4. 4.What is the value of 3⁶? =
  5. 5.Write (7⁶)⁵ as a single power 7ⁿ. What is n?
  6. 6.2.4 × 10⁴ =
  7. 7.Write (7⁸)⁴ as a single power 7ⁿ. What is n?
  8. 8.Write (5⁷)⁴ as a single power 5ⁿ. What is n?
  9. 9.Write 5.9 × 10⁻³ as a decimal. =
  10. 10.What is the value of 10⁻¹ (as a fraction)? =
  11. 11.Write 2⁶ × 2² as a single power 2ⁿ. What is n?
  12. 12.Write 9.3 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of (2/3)⁻¹? =
  14. 14.What is the value of 2⁷? =
  15. 15.What is the value of (1/4)⁻²? =
  16. 16.What is the value of 10¹ × 10⁻¹? =
  17. 17.Write (8⁹)³ as a single power 8ⁿ. What is n?
  18. 18.What is the value of 2¹⁰? =
  19. 19.Write 6.7 × 10⁻⁴ as a decimal. =
  20. 20.Write 800 in standard form as 8 × 10ⁿ. What is n?
  21. 21.Write 7¹¹ ÷ 7⁵ as a single power 7ⁿ. What is n?
  22. 22.1.9 × 10⁴ =
  23. 23.Write 5.7 × 10⁻¹ as a decimal. =
  24. 24.What is the value of (1/5)⁻²? =
  25. 25.What is the value of 2¹ × 2⁻²? =
  26. 26.Write (5⁹)⁴ as a single power 5ⁿ. What is n?
  27. 27.4.5 × 10⁴ =
  28. 28.What is the value of 9²? =
  29. 29.Write 4,600 in standard form as 4.6 × 10ⁿ. What is n?
  30. 30.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  31. 31.Write (3⁶)² as a single power 3ⁿ. What is n?
  32. 32.What is the value of 2¹ × 2⁻⁶? =
  33. 33.What is the value of 3⁵? =
  34. 34.Write 5² × 5⁶ as a single power 5ⁿ. What is n?
  35. 35.What is the value of 4⁻² (as a fraction)? =
  36. 36.What is the value of (2/5)⁻¹? =
  37. 37.What is the value of 5⁴ × 5⁻⁶? =
  38. 38.Write (4⁶)⁷ as a single power 4ⁿ. What is n?
  39. 39.What is the value of 4⁻¹ (as a fraction)? =
  40. 40.What is the value of 5⁴? =

Answer key

  1. 0.0019
  2. 1/64
  3. 1/128
  4. 729
  5. 30
  6. 24000
  7. 32
  8. 28
  9. 0.0059
  10. 1/10
  11. 8
  12. 0.00093
  13. 3/2
  14. 128
  15. 16
  16. 1
  17. 27
  18. 1024
  19. 0.00067
  20. 2
  21. 6
  22. 19000
  23. 0.57
  24. 25
  25. 1/2
  26. 36
  27. 45000
  28. 81
  29. 3
  30. 9
  31. 12
  32. 1/32
  33. 243
  34. 8
  35. 1/16
  36. 5/2
  37. 1/25
  38. 42
  39. 1/4
  40. 625

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