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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 3 · 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 (1/5)⁻¹? =
  2. 2.What is the value of 2¹ × 2⁻⁴? =
  3. 3.What is the value of 4³? =
  4. 4.Write 7¹⁰ ÷ 7⁸ as a single power 7ⁿ. What is n?
  5. 5.Write (2⁹)³ as a single power 2ⁿ. What is n?
  6. 6.Write 3³ × 3⁷ as a single power 3ⁿ. What is n?
  7. 7.2.3 × 10⁵ =
  8. 8.Write 7,700 in standard form as 7.7 × 10ⁿ. What is n?
  9. 9.What is the value of 2² × 2⁻¹? =
  10. 10.What is the value of (1/6)⁻¹? =
  11. 11.Write 810 in standard form as 8.1 × 10ⁿ. What is n?
  12. 12.1.4 × 10⁵ =
  13. 13.Write 6¹² ÷ 6⁷ as a single power 6ⁿ. What is n?
  14. 14.Write 9⁶ ÷ 9³ as a single power 9ⁿ. What is n?
  15. 15.What is the value of 3⁵? =
  16. 16.What is the value of 2¹⁵? =
  17. 17.Write 8⁸ × 8⁵ as a single power 8ⁿ. What is n?
  18. 18.Write (7⁷)⁶ as a single power 7ⁿ. What is n?
  19. 19.Write 460 in standard form as 4.6 × 10ⁿ. What is n?
  20. 20.What is the value of 3⁵ × 3⁻²? =
  21. 21.What is the value of 4⁴? =
  22. 22.What is the value of 2¹¹? =
  23. 23.What is the value of 2¹³? =
  24. 24.6.2 × 10⁴ =
  25. 25.Write 1.9 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 2¹ × 2⁻²? =
  27. 27.What is the value of 2⁵? =
  28. 28.What is the value of 8³? =
  29. 29.What is the value of 2⁴? =
  30. 30.What is the value of 2¹ × 2⁻¹? =
  31. 31.What is the value of (1/5)⁻²? =
  32. 32.What is the value of 6³? =
  33. 33.Write 3.8 × 10⁻⁴ as a decimal. =
  34. 34.Write (6⁸)⁷ as a single power 6ⁿ. What is n?
  35. 35.What is the value of 10⁶ × 10⁻⁵? =
  36. 36.What is the value of 5³ × 5⁻³? =
  37. 37.What is the value of 4⁷? =
  38. 38.What is the value of 8⁵? =
  39. 39.What is the value of 3⁸? =
  40. 40.Write 4⁶ ÷ 4⁴ as a single power 4ⁿ. What is n?

Answer key

  1. 5
  2. 1/8
  3. 64
  4. 2
  5. 27
  6. 10
  7. 230000
  8. 3
  9. 2
  10. 6
  11. 2
  12. 140000
  13. 5
  14. 3
  15. 243
  16. 32768
  17. 13
  18. 42
  19. 2
  20. 27
  21. 256
  22. 2048
  23. 8192
  24. 62000
  25. 0.00019
  26. 1/2
  27. 32
  28. 512
  29. 16
  30. 1
  31. 25
  32. 216
  33. 0.00038
  34. 56
  35. 10
  36. 1
  37. 16384
  38. 32768
  39. 6561
  40. 2

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