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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 67 · 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 2⁴ × 2⁻³? =
  2. 2.Write (5⁸)² as a single power 5ⁿ. What is n?
  3. 3.Write 1.2 × 10⁻⁴ as a decimal. =
  4. 4.Write 1.9 × 10⁻¹ as a decimal. =
  5. 5.6.8 × 10² =
  6. 6.What is the value of (3/8)⁻¹? =
  7. 7.Write 48,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  8. 8.What is the value of (3/7)⁻¹? =
  9. 9.What is the value of 2¹⁵? =
  10. 10.Write 7.2 × 10⁻³ as a decimal. =
  11. 11.1.4 × 10² =
  12. 12.Write 2 × 10⁻³ as a decimal. =
  13. 13.What is the value of 3⁴ × 3⁻⁴? =
  14. 14.8.9 × 10⁶ =
  15. 15.What is the value of 3¹ × 3⁻⁶? =
  16. 16.What is the value of 2³ × 2⁻⁵? =
  17. 17.Write 8,20,00,000 in standard form as 8.2 × 10ⁿ. What is n?
  18. 18.What is the value of 2⁻⁴ (as a fraction)? =
  19. 19.What is the value of 7⁻² (as a fraction)? =
  20. 20.What is the value of 10⁶ × 10⁻⁶? =
  21. 21.Write 3.8 × 10⁻⁴ as a decimal. =
  22. 22.Write 2⁵ ÷ 2³ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 10⁵? =
  24. 24.What is the value of 2³ × 2⁻⁴? =
  25. 25.Write 5⁸ × 5⁹ as a single power 5ⁿ. What is n?
  26. 26.Write (2⁷)⁴ as a single power 2ⁿ. What is n?
  27. 27.What is the value of 7⁴? =
  28. 28.What is the value of 8⁵? =
  29. 29.What is the value of 5⁵ × 5⁻³? =
  30. 30.Write 660 in standard form as 6.6 × 10ⁿ. What is n?
  31. 31.What is the value of 10⁵ × 10⁻¹? =
  32. 32.Write 3,50,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  33. 33.Write 8.3 × 10⁻² as a decimal. =
  34. 34.Write 8.8 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 10⁵ × 10⁻⁴? =
  36. 36.What is the value of 3⁴ × 3⁻¹? =
  37. 37.What is the value of (5/8)⁻¹? =
  38. 38.Write 3.9 × 10⁻¹ as a decimal. =
  39. 39.Write 7⁵ × 7⁷ as a single power 7ⁿ. What is n?
  40. 40.What is the value of (3/4)⁻²? =

Answer key

  1. 2
  2. 16
  3. 0.00012
  4. 0.19
  5. 680
  6. 8/3
  7. 6
  8. 7/3
  9. 32768
  10. 0.0072
  11. 140
  12. 0.002
  13. 1
  14. 8900000
  15. 1/243
  16. 1/4
  17. 7
  18. 1/16
  19. 1/49
  20. 1
  21. 0.00038
  22. 2
  23. 100000
  24. 1/2
  25. 17
  26. 28
  27. 2401
  28. 32768
  29. 25
  30. 2
  31. 10000
  32. 7
  33. 0.083
  34. 0.00088
  35. 10
  36. 27
  37. 8/5
  38. 0.39
  39. 12
  40. 16/9

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