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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 726 · 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 10³? =
  2. 2.Write 1.2 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 8⁴? =
  4. 4.Write 2.7 × 10⁻² as a decimal. =
  5. 5.What is the value of 7⁻² (as a fraction)? =
  6. 6.Write 1.9 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 2⁴ × 2⁻⁶? =
  8. 8.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
  9. 9.4.8 × 10⁶ =
  10. 10.What is the value of 2² × 2⁻¹? =
  11. 11.Write 3.1 × 10⁻¹ as a decimal. =
  12. 12.4.5 × 10⁴ =
  13. 13.7.4 × 10⁵ =
  14. 14.What is the value of 5⁴? =
  15. 15.What is the value of (3/4)⁻²? =
  16. 16.What is the value of 3¹⁰? =
  17. 17.Write 4⁴ × 4⁴ as a single power 4ⁿ. What is n?
  18. 18.What is the value of 5⁷? =
  19. 19.What is the value of 2¹³? =
  20. 20.What is the value of 2⁵ × 2⁻⁴? =
  21. 21.What is the value of 3⁸? =
  22. 22.1.7 × 10³ =
  23. 23.What is the value of 9²? =
  24. 24.Write 6.1 × 10⁻² as a decimal. =
  25. 25.Write 110 in standard form as 1.1 × 10ⁿ. What is n?
  26. 26.What is the value of 2⁸? =
  27. 27.Write (2³)⁸ as a single power 2ⁿ. What is n?
  28. 28.What is the value of (4/9)⁻¹? =
  29. 29.What is the value of 6⁻¹ (as a fraction)? =
  30. 30.What is the value of 3² × 3⁻⁴? =
  31. 31.Write 8.3 × 10⁻² as a decimal. =
  32. 32.Write 5.7 × 10⁻³ as a decimal. =
  33. 33.What is the value of 2¹ × 2⁻⁵? =
  34. 34.Write 2¹² ÷ 2⁹ as a single power 2ⁿ. What is n?
  35. 35.What is the value of (4/5)⁻²? =
  36. 36.What is the value of 2⁻⁴ (as a fraction)? =
  37. 37.3 × 10² =
  38. 38.Write 4¹² ÷ 4⁷ as a single power 4ⁿ. What is n?
  39. 39.Write 8,400 in standard form as 8.4 × 10ⁿ. What is n?
  40. 40.What is the value of 3¹ × 3⁻³? =

Answer key

  1. 1000
  2. 0.00012
  3. 4096
  4. 0.027
  5. 1/49
  6. 0.19
  7. 1/4
  8. 2
  9. 4800000
  10. 2
  11. 0.31
  12. 45000
  13. 740000
  14. 625
  15. 16/9
  16. 59049
  17. 8
  18. 78125
  19. 8192
  20. 2
  21. 6561
  22. 1700
  23. 81
  24. 0.061
  25. 2
  26. 256
  27. 24
  28. 9/4
  29. 1/6
  30. 1/9
  31. 0.083
  32. 0.0057
  33. 1/16
  34. 3
  35. 25/16
  36. 1/16
  37. 300
  38. 5
  39. 3
  40. 1/9

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