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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 770 · 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 4⁷? =
  2. 2.Write 9¹¹ ÷ 9² as a single power 9ⁿ. What is n?
  3. 3.Write 460 in standard form as 4.6 × 10ⁿ. What is n?
  4. 4.Write 2³ × 2⁶ as a single power 2ⁿ. What is n?
  5. 5.Write 180 in standard form as 1.8 × 10ⁿ. What is n?
  6. 6.What is the value of (2/5)⁻¹? =
  7. 7.Write 600 in standard form as 6 × 10ⁿ. What is n?
  8. 8.What is the value of 8⁴? =
  9. 9.What is the value of 10²? =
  10. 10.Write 5.1 × 10⁻⁴ as a decimal. =
  11. 11.Write (3³)⁸ as a single power 3ⁿ. What is n?
  12. 12.Write 3.3 × 10⁻² as a decimal. =
  13. 13.Write 2⁸ × 2³ as a single power 2ⁿ. What is n?
  14. 14.Write 1,500 in standard form as 1.5 × 10ⁿ. What is n?
  15. 15.Write 4.4 × 10⁻³ as a decimal. =
  16. 16.Write (9³)⁷ as a single power 9ⁿ. What is n?
  17. 17.8.3 × 10⁵ =
  18. 18.Write 9.7 × 10⁻¹ as a decimal. =
  19. 19.Write 1.4 × 10⁻⁴ as a decimal. =
  20. 20.What is the value of 8⁻³ (as a fraction)? =
  21. 21.Write 1,70,00,000 in standard form as 1.7 × 10ⁿ. What is n?
  22. 22.What is the value of 3² × 3⁻⁶? =
  23. 23.Write 6,80,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  24. 24.What is the value of 5⁻¹ (as a fraction)? =
  25. 25.Write 2.4 × 10⁻³ as a decimal. =
  26. 26.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  27. 27.Write 6⁹ × 6⁸ as a single power 6ⁿ. What is n?
  28. 28.What is the value of 6⁴? =
  29. 29.What is the value of 9³? =
  30. 30.What is the value of 2⁷? =
  31. 31.Write 1.8 × 10⁻⁴ as a decimal. =
  32. 32.What is the value of 7⁴? =
  33. 33.What is the value of (2/3)⁻¹? =
  34. 34.5.4 × 10² =
  35. 35.What is the value of 2⁻⁷ (as a fraction)? =
  36. 36.What is the value of 6³? =
  37. 37.What is the value of (1/6)⁻¹? =
  38. 38.What is the value of 5⁵? =
  39. 39.What is the value of 2¹ × 2⁻⁵? =
  40. 40.Write 8⁶ ÷ 8⁴ as a single power 8ⁿ. What is n?

Answer key

  1. 16384
  2. 9
  3. 2
  4. 9
  5. 2
  6. 5/2
  7. 2
  8. 4096
  9. 100
  10. 0.00051
  11. 24
  12. 0.033
  13. 11
  14. 3
  15. 0.0044
  16. 21
  17. 830000
  18. 0.97
  19. 0.00014
  20. 1/512
  21. 7
  22. 1/81
  23. 7
  24. 1/5
  25. 0.0024
  26. 6
  27. 17
  28. 1296
  29. 729
  30. 128
  31. 0.00018
  32. 2401
  33. 3/2
  34. 540
  35. 1/128
  36. 216
  37. 6
  38. 3125
  39. 1/16
  40. 2

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