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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 583 · 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 (2/5)⁻¹? =
  2. 2.4.7 × 10⁴ =
  3. 3.What is the value of 6⁴? =
  4. 4.What is the value of (1/4)⁻²? =
  5. 5.What is the value of 3⁵? =
  6. 6.What is the value of 3⁵ × 3⁻¹? =
  7. 7.What is the value of 4⁴? =
  8. 8.4.4 × 10² =
  9. 9.What is the value of 3⁶? =
  10. 10.What is the value of (2/9)⁻¹? =
  11. 11.Write 7.1 × 10⁻¹ as a decimal. =
  12. 12.Write 2 × 10⁻² as a decimal. =
  13. 13.Write 8² × 8⁷ as a single power 8ⁿ. What is n?
  14. 14.Write 1,500 in standard form as 1.5 × 10ⁿ. What is n?
  15. 15.What is the value of 2⁶ × 2⁻²? =
  16. 16.What is the value of 2⁵? =
  17. 17.What is the value of (4/7)⁻²? =
  18. 18.Write 5² × 5⁶ as a single power 5ⁿ. What is n?
  19. 19.What is the value of 2² × 2⁻⁴? =
  20. 20.4.3 × 10⁴ =
  21. 21.Write 9.5 × 10⁻¹ as a decimal. =
  22. 22.Write 3⁸ × 3⁶ as a single power 3ⁿ. What is n?
  23. 23.5.6 × 10⁵ =
  24. 24.What is the value of 5¹ × 5⁻³? =
  25. 25.What is the value of 10³? =
  26. 26.Write 1.3 × 10⁻³ as a decimal. =
  27. 27.Write 7.8 × 10⁻³ as a decimal. =
  28. 28.7.8 × 10⁷ =
  29. 29.Write 8⁸ × 8⁴ as a single power 8ⁿ. What is n?
  30. 30.What is the value of 10⁶ × 10⁻¹? =
  31. 31.What is the value of (4/9)⁻¹? =
  32. 32.Write 5¹⁵ ÷ 5⁸ as a single power 5ⁿ. What is n?
  33. 33.What is the value of 6⁵? =
  34. 34.4.3 × 10³ =
  35. 35.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  36. 36.Write 2,70,00,000 in standard form as 2.7 × 10ⁿ. What is n?
  37. 37.Write 61,000 in standard form as 6.1 × 10ⁿ. What is n?
  38. 38.What is the value of 2⁻³ (as a fraction)? =
  39. 39.9.9 × 10⁷ =
  40. 40.What is the value of (2/3)⁻²? =

Answer key

  1. 5/2
  2. 47000
  3. 1296
  4. 16
  5. 243
  6. 81
  7. 256
  8. 440
  9. 729
  10. 9/2
  11. 0.71
  12. 0.02
  13. 9
  14. 3
  15. 16
  16. 32
  17. 49/16
  18. 8
  19. 1/4
  20. 43000
  21. 0.95
  22. 14
  23. 560000
  24. 1/25
  25. 1000
  26. 0.0013
  27. 0.0078
  28. 78000000
  29. 12
  30. 100000
  31. 9/4
  32. 7
  33. 7776
  34. 4300
  35. 4
  36. 7
  37. 4
  38. 1/8
  39. 99000000
  40. 9/4

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