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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 42 · 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. 1.3 × 10² =
  2. 2.What is the value of 6⁻² (as a fraction)? =
  3. 3.Write 2,000 in standard form as 2 × 10ⁿ. What is n?
  4. 4.What is the value of 4⁻⁴ (as a fraction)? =
  5. 5.Write 2² × 2² as a single power 2ⁿ. What is n?
  6. 6.3.8 × 10⁵ =
  7. 7.What is the value of 4⁵? =
  8. 8.What is the value of 3⁻² (as a fraction)? =
  9. 9.Write 4¹² ÷ 4⁴ as a single power 4ⁿ. What is n?
  10. 10.Write 2⁸ × 2³ as a single power 2ⁿ. What is n?
  11. 11.What is the value of (7/8)⁻²? =
  12. 12.Write 2¹⁶ ÷ 2⁷ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 3¹ × 3⁻⁶? =
  14. 14.What is the value of 9⁻³ (as a fraction)? =
  15. 15.Write 7,70,000 in standard form as 7.7 × 10ⁿ. What is n?
  16. 16.What is the value of 3²? =
  17. 17.What is the value of 5⁵ × 5⁻⁴? =
  18. 18.What is the value of 10⁵ × 10⁻¹? =
  19. 19.1.7 × 10² =
  20. 20.What is the value of 7³? =
  21. 21.What is the value of 5⁴ × 5⁻¹? =
  22. 22.What is the value of 3³ × 3⁻⁴? =
  23. 23.What is the value of 2⁵? =
  24. 24.Write 8¹¹ ÷ 8⁶ as a single power 8ⁿ. What is n?
  25. 25.What is the value of 2⁶ × 2⁻⁴? =
  26. 26.What is the value of 7²? =
  27. 27.What is the value of 2⁻⁵ (as a fraction)? =
  28. 28.Write 2.2 × 10⁻¹ as a decimal. =
  29. 29.Write 6 × 10⁻³ as a decimal. =
  30. 30.What is the value of 2²? =
  31. 31.What is the value of 8⁻¹ (as a fraction)? =
  32. 32.What is the value of 10⁴ × 10⁻³? =
  33. 33.Write 7⁸ × 7⁷ as a single power 7ⁿ. What is n?
  34. 34.What is the value of 2³? =
  35. 35.What is the value of 2¹¹? =
  36. 36.5.3 × 10² =
  37. 37.What is the value of (2/9)⁻¹? =
  38. 38.Write 9.3 × 10⁻² as a decimal. =
  39. 39.What is the value of 2¹⁰? =
  40. 40.2.2 × 10⁵ =

Answer key

  1. 300
  2. 1/36
  3. 3
  4. 1/256
  5. 4
  6. 380000
  7. 1024
  8. 1/9
  9. 8
  10. 11
  11. 64/49
  12. 9
  13. 1/243
  14. 1/729
  15. 5
  16. 9
  17. 5
  18. 10000
  19. 170
  20. 343
  21. 125
  22. 1/3
  23. 32
  24. 5
  25. 4
  26. 49
  27. 1/32
  28. 0.22
  29. 0.006
  30. 4
  31. 1/8
  32. 10
  33. 15
  34. 8
  35. 2048
  36. 530
  37. 9/2
  38. 0.093
  39. 1024
  40. 220000

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