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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 837 · 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. 1.8.1 × 10⁵ =
  2. 2.What is the value of 3⁸? =
  3. 3.What is the value of 4⁶? =
  4. 4.What is the value of 2¹¹? =
  5. 5.Write 7⁹ × 7⁷ as a single power 7ⁿ. What is n?
  6. 6.What is the value of 2¹²? =
  7. 7.3.5 × 10⁷ =
  8. 8.Write (3⁵)⁶ as a single power 3ⁿ. What is n?
  9. 9.What is the value of 2³ × 2⁻³? =
  10. 10.What is the value of (4/5)⁻²? =
  11. 11.What is the value of (1/5)⁻²? =
  12. 12.What is the value of 6³? =
  13. 13.What is the value of 5⁵ × 5⁻¹? =
  14. 14.Write 6 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 10³ × 10⁻¹? =
  16. 16.What is the value of (1/8)⁻¹? =
  17. 17.Write 8⁶ × 8⁶ as a single power 8ⁿ. What is n?
  18. 18.What is the value of (1/7)⁻²? =
  19. 19.Write 9,200 in standard form as 9.2 × 10ⁿ. What is n?
  20. 20.What is the value of 3⁹? =
  21. 21.What is the value of 3¹ × 3⁻²? =
  22. 22.Write 1.1 × 10⁻³ as a decimal. =
  23. 23.Write 6.3 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 2² × 2⁻⁴? =
  25. 25.Write (8³)⁸ as a single power 8ⁿ. What is n?
  26. 26.What is the value of 2⁴? =
  27. 27.What is the value of 2¹⁴? =
  28. 28.Write 6² × 6⁸ as a single power 6ⁿ. What is n?
  29. 29.Write (2⁵)⁴ as a single power 2ⁿ. What is n?
  30. 30.Write 8,10,000 in standard form as 8.1 × 10ⁿ. What is n?
  31. 31.Write 4⁴ × 4² as a single power 4ⁿ. What is n?
  32. 32.What is the value of 10¹ × 10⁻¹? =
  33. 33.What is the value of (3/7)⁻¹? =
  34. 34.Write 2¹⁰ ÷ 2² as a single power 2ⁿ. What is n?
  35. 35.What is the value of 9²? =
  36. 36.Write (4³)⁶ as a single power 4ⁿ. What is n?
  37. 37.5.6 × 10² =
  38. 38.What is the value of (2/9)⁻¹? =
  39. 39.What is the value of (8/9)⁻²? =
  40. 40.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?

Answer key

  1. 810000
  2. 6561
  3. 4096
  4. 2048
  5. 16
  6. 4096
  7. 35000000
  8. 30
  9. 1
  10. 25/16
  11. 25
  12. 216
  13. 625
  14. 0.6
  15. 100
  16. 8
  17. 12
  18. 49
  19. 3
  20. 19683
  21. 1/3
  22. 0.0011
  23. 0.63
  24. 1/4
  25. 24
  26. 16
  27. 16384
  28. 10
  29. 20
  30. 5
  31. 6
  32. 1
  33. 7/3
  34. 8
  35. 81
  36. 18
  37. 560
  38. 9/2
  39. 81/64
  40. 6

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