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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 632 · 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 2¹ × 2⁻¹? =
  2. 2.What is the value of 4⁸? =
  3. 3.What is the value of 9²? =
  4. 4.1.9 × 10² =
  5. 5.What is the value of 3¹ × 3⁻¹? =
  6. 6.Write 6¹⁴ ÷ 6⁶ as a single power 6ⁿ. What is n?
  7. 7.2.6 × 10⁷ =
  8. 8.What is the value of 3⁻¹ (as a fraction)? =
  9. 9.6.3 × 10² =
  10. 10.What is the value of 3⁻⁶ (as a fraction)? =
  11. 11.What is the value of 10⁴? =
  12. 12.Write 2.6 × 10⁻² as a decimal. =
  13. 13.Write 2 × 10⁻³ as a decimal. =
  14. 14.Write 3.6 × 10⁻³ as a decimal. =
  15. 15.What is the value of 2¹ × 2⁻⁶? =
  16. 16.Write 1.7 × 10⁻³ as a decimal. =
  17. 17.What is the value of (1/7)⁻¹? =
  18. 18.Write 9⁶ ÷ 9² as a single power 9ⁿ. What is n?
  19. 19.Write 8,90,000 in standard form as 8.9 × 10ⁿ. What is n?
  20. 20.4.3 × 10⁵ =
  21. 21.5.9 × 10³ =
  22. 22.Write 8.3 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 10¹ × 10⁻³? =
  24. 24.Write 2¹³ ÷ 2⁹ as a single power 2ⁿ. What is n?
  25. 25.What is the value of 2⁴ × 2⁻⁴? =
  26. 26.9.7 × 10⁵ =
  27. 27.Write 6⁶ ÷ 6⁴ as a single power 6ⁿ. What is n?
  28. 28.Write (8⁸)⁵ as a single power 8ⁿ. What is n?
  29. 29.What is the value of 2⁻⁴ (as a fraction)? =
  30. 30.2.5 × 10³ =
  31. 31.Write 3.3 × 10⁻² as a decimal. =
  32. 32.Write 3.8 × 10⁻² as a decimal. =
  33. 33.Write 5⁹ ÷ 5⁵ as a single power 5ⁿ. What is n?
  34. 34.What is the value of 8⁻² (as a fraction)? =
  35. 35.Write 6,200 in standard form as 6.2 × 10ⁿ. What is n?
  36. 36.Write 3 × 10⁻³ as a decimal. =
  37. 37.What is the value of 5⁴? =
  38. 38.What is the value of 2¹⁶? =
  39. 39.What is the value of 2¹⁰? =
  40. 40.What is the value of 2³ × 2⁻⁵? =

Answer key

  1. 1
  2. 65536
  3. 81
  4. 190
  5. 1
  6. 8
  7. 26000000
  8. 1/3
  9. 630
  10. 1/729
  11. 10000
  12. 0.026
  13. 0.002
  14. 0.0036
  15. 1/32
  16. 0.0017
  17. 7
  18. 4
  19. 5
  20. 430000
  21. 5900
  22. 0.00083
  23. 1/100
  24. 4
  25. 1
  26. 970000
  27. 2
  28. 40
  29. 1/16
  30. 2500
  31. 0.033
  32. 0.038
  33. 4
  34. 1/64
  35. 3
  36. 0.003
  37. 625
  38. 65536
  39. 1024
  40. 1/4

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