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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 242 · 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 2³? =
  2. 2.Write 7.2 × 10⁻² as a decimal. =
  3. 3.What is the value of 5¹ × 5⁻²? =
  4. 4.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
  5. 5.Write 3 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 2¹ × 2⁻³? =
  7. 7.Write 8⁸ ÷ 8³ as a single power 8ⁿ. What is n?
  8. 8.Write 8.8 × 10⁻² as a decimal. =
  9. 9.What is the value of 4⁷? =
  10. 10.Write 140 in standard form as 1.4 × 10ⁿ. What is n?
  11. 11.Write 6 × 10⁻² as a decimal. =
  12. 12.What is the value of 3⁷? =
  13. 13.What is the value of 4⁶? =
  14. 14.What is the value of 10⁵ × 10⁻¹? =
  15. 15.Write 9⁷ × 9⁹ as a single power 9ⁿ. What is n?
  16. 16.Write 6.2 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 2¹ × 2⁻⁵? =
  18. 18.What is the value of (1/5)⁻²? =
  19. 19.What is the value of 8⁴? =
  20. 20.Write 7³ × 7⁸ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 2⁹? =
  22. 22.What is the value of 8²? =
  23. 23.Write (6³)⁴ as a single power 6ⁿ. What is n?
  24. 24.What is the value of 4⁸? =
  25. 25.Write 1.3 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 9²? =
  27. 27.What is the value of 2¹⁶? =
  28. 28.Write (8⁷)³ as a single power 8ⁿ. What is n?
  29. 29.What is the value of 5⁶ × 5⁻⁵? =
  30. 30.What is the value of (3/8)⁻²? =
  31. 31.What is the value of 6³? =
  32. 32.What is the value of 5² × 5⁻⁵? =
  33. 33.What is the value of 10⁴ × 10⁻⁴? =
  34. 34.What is the value of 6⁶? =
  35. 35.What is the value of 10⁴ × 10⁻³? =
  36. 36.What is the value of 5⁵ × 5⁻²? =
  37. 37.What is the value of 2⁻⁹ (as a fraction)? =
  38. 38.What is the value of 3⁻² (as a fraction)? =
  39. 39.What is the value of 10¹ × 10⁻¹? =
  40. 40.What is the value of 7⁻¹ (as a fraction)? =

Answer key

  1. 8
  2. 0.072
  3. 1/5
  4. 2
  5. 0.3
  6. 1/4
  7. 5
  8. 0.088
  9. 16384
  10. 2
  11. 0.06
  12. 2187
  13. 4096
  14. 10000
  15. 16
  16. 0.62
  17. 1/16
  18. 25
  19. 4096
  20. 11
  21. 512
  22. 64
  23. 12
  24. 65536
  25. 0.13
  26. 81
  27. 65536
  28. 21
  29. 5
  30. 64/9
  31. 216
  32. 1/125
  33. 1
  34. 46656
  35. 10
  36. 125
  37. 1/512
  38. 1/9
  39. 1
  40. 1/7

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