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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 976 · 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 (3/7)⁻¹? =
  2. 2.Write 9,30,00,000 in standard form as 9.3 × 10ⁿ. What is n?
  3. 3.Write 1.7 × 10⁻² as a decimal. =
  4. 4.What is the value of (2/7)⁻²? =
  5. 5.What is the value of 2² × 2⁻⁵? =
  6. 6.What is the value of 5⁶ × 5⁻²? =
  7. 7.What is the value of 2⁶ × 2⁻⁴? =
  8. 8.3.8 × 10³ =
  9. 9.What is the value of 7⁴? =
  10. 10.8.7 × 10² =
  11. 11.What is the value of 2³ × 2⁻³? =
  12. 12.What is the value of 2¹ × 2⁻¹? =
  13. 13.What is the value of (8/9)⁻¹? =
  14. 14.Write 1,70,000 in standard form as 1.7 × 10ⁿ. What is n?
  15. 15.What is the value of 4⁷? =
  16. 16.What is the value of (1/5)⁻¹? =
  17. 17.What is the value of 5⁴ × 5⁻²? =
  18. 18.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  19. 19.What is the value of 3⁴? =
  20. 20.What is the value of 10¹ × 10⁻³? =
  21. 21.What is the value of 9³? =
  22. 22.Write 8⁵ ÷ 8² as a single power 8ⁿ. What is n?
  23. 23.Write 7.8 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of 9⁴? =
  25. 25.What is the value of 4⁻² (as a fraction)? =
  26. 26.What is the value of 8⁻³ (as a fraction)? =
  27. 27.What is the value of 9²? =
  28. 28.Write (8⁶)² as a single power 8ⁿ. What is n?
  29. 29.What is the value of 7²? =
  30. 30.What is the value of 2¹³? =
  31. 31.Write 2² × 2⁹ as a single power 2ⁿ. What is n?
  32. 32.Write (9³)⁵ as a single power 9ⁿ. What is n?
  33. 33.Write 80,00,000 in standard form as 8 × 10ⁿ. What is n?
  34. 34.What is the value of 8²? =
  35. 35.What is the value of 5⁻⁴ (as a fraction)? =
  36. 36.What is the value of 7³? =
  37. 37.What is the value of 2¹⁵? =
  38. 38.Write 3² × 3⁵ as a single power 3ⁿ. What is n?
  39. 39.What is the value of (5/7)⁻¹? =
  40. 40.9.6 × 10⁵ =

Answer key

  1. 7/3
  2. 7
  3. 0.017
  4. 49/4
  5. 1/8
  6. 625
  7. 4
  8. 3800
  9. 2401
  10. 870
  11. 1
  12. 1
  13. 9/8
  14. 5
  15. 16384
  16. 5
  17. 25
  18. 7
  19. 81
  20. 1/100
  21. 729
  22. 3
  23. 0.00078
  24. 6561
  25. 1/16
  26. 1/512
  27. 81
  28. 12
  29. 49
  30. 8192
  31. 11
  32. 15
  33. 6
  34. 64
  35. 1/625
  36. 343
  37. 32768
  38. 7
  39. 7/5
  40. 960000

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