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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 408 · 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 2¹¹ ÷ 2⁶ as a single power 2ⁿ. What is n?
  2. 2.Write 7³ × 7⁷ as a single power 7ⁿ. What is n?
  3. 3.Write 5.8 × 10⁻³ as a decimal. =
  4. 4.What is the value of 10³ × 10⁻⁵? =
  5. 5.Write (6³)⁷ as a single power 6ⁿ. What is n?
  6. 6.What is the value of 2⁹? =
  7. 7.3.9 × 10² =
  8. 8.Write (2³)⁷ as a single power 2ⁿ. What is n?
  9. 9.What is the value of 5² × 5⁻³? =
  10. 10.Write 1.3 × 10⁻² as a decimal. =
  11. 11.What is the value of 5⁴? =
  12. 12.What is the value of 2¹⁴? =
  13. 13.Write 7⁸ ÷ 7⁶ as a single power 7ⁿ. What is n?
  14. 14.Write 1.6 × 10⁻³ as a decimal. =
  15. 15.What is the value of (3/7)⁻¹? =
  16. 16.What is the value of 3⁶ × 3⁻³? =
  17. 17.Write 5.9 × 10⁻³ as a decimal. =
  18. 18.What is the value of 2⁻⁵ (as a fraction)? =
  19. 19.What is the value of 10²? =
  20. 20.What is the value of 9⁻³ (as a fraction)? =
  21. 21.Write (2⁷)⁷ as a single power 2ⁿ. What is n?
  22. 22.Write 1.3 × 10⁻⁴ as a decimal. =
  23. 23.Write 2⁶ × 2⁶ as a single power 2ⁿ. What is n?
  24. 24.5.9 × 10³ =
  25. 25.Write 2.9 × 10⁻² as a decimal. =
  26. 26.What is the value of 3⁴ × 3⁻⁵? =
  27. 27.Write 9.2 × 10⁻³ as a decimal. =
  28. 28.Write 1.4 × 10⁻¹ as a decimal. =
  29. 29.3.3 × 10³ =
  30. 30.2.5 × 10⁷ =
  31. 31.What is the value of 8⁻² (as a fraction)? =
  32. 32.What is the value of 4⁶? =
  33. 33.Write 3¹⁵ ÷ 3⁶ as a single power 3ⁿ. What is n?
  34. 34.What is the value of (5/8)⁻²? =
  35. 35.What is the value of 2⁵? =
  36. 36.What is the value of (7/8)⁻²? =
  37. 37.What is the value of (5/7)⁻¹? =
  38. 38.What is the value of (5/6)⁻¹? =
  39. 39.Write 1.6 × 10⁻² as a decimal. =
  40. 40.What is the value of 3⁵ × 3⁻⁵? =

Answer key

  1. 5
  2. 10
  3. 0.0058
  4. 1/100
  5. 21
  6. 512
  7. 390
  8. 21
  9. 1/5
  10. 0.013
  11. 625
  12. 16384
  13. 2
  14. 0.0016
  15. 7/3
  16. 27
  17. 0.0059
  18. 1/32
  19. 100
  20. 1/729
  21. 49
  22. 0.00013
  23. 12
  24. 5900
  25. 0.029
  26. 1/3
  27. 0.0092
  28. 0.14
  29. 3300
  30. 25000000
  31. 1/64
  32. 4096
  33. 9
  34. 64/25
  35. 32
  36. 64/49
  37. 7/5
  38. 6/5
  39. 0.016
  40. 1

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