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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 973 · 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 4⁻² (as a fraction)? =
  2. 2.2.3 × 10⁶ =
  3. 3.Write 2.5 × 10⁻¹ as a decimal. =
  4. 4.Write (2⁷)⁹ as a single power 2ⁿ. What is n?
  5. 5.Write 7¹³ ÷ 7⁹ as a single power 7ⁿ. What is n?
  6. 6.Write 8.8 × 10⁻³ as a decimal. =
  7. 7.What is the value of 6⁶? =
  8. 8.What is the value of 2⁻⁹ (as a fraction)? =
  9. 9.What is the value of 2⁵? =
  10. 10.6.8 × 10⁵ =
  11. 11.Write (8⁵)³ as a single power 8ⁿ. What is n?
  12. 12.What is the value of 2³ × 2⁻⁶? =
  13. 13.What is the value of 2⁵ × 2⁻²? =
  14. 14.What is the value of 3¹⁰? =
  15. 15.What is the value of 2¹³? =
  16. 16.What is the value of 4²? =
  17. 17.What is the value of 3⁹? =
  18. 18.What is the value of 3⁷? =
  19. 19.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
  20. 20.Write 3³ × 3⁵ as a single power 3ⁿ. What is n?
  21. 21.What is the value of 2² × 2⁻¹? =
  22. 22.Write (3⁵)² as a single power 3ⁿ. What is n?
  23. 23.Write 2,70,00,000 in standard form as 2.7 × 10ⁿ. What is n?
  24. 24.What is the value of 10¹ × 10⁻⁵? =
  25. 25.Write 4.7 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 2¹¹? =
  27. 27.What is the value of 2⁵ × 2⁻³? =
  28. 28.Write (8³)⁸ as a single power 8ⁿ. What is n?
  29. 29.Write (5⁷)⁴ as a single power 5ⁿ. What is n?
  30. 30.What is the value of 3⁻⁶ (as a fraction)? =
  31. 31.4.1 × 10² =
  32. 32.Write 1.4 × 10⁻² as a decimal. =
  33. 33.4.1 × 10⁶ =
  34. 34.What is the value of 10⁻² (as a fraction)? =
  35. 35.What is the value of 2⁷? =
  36. 36.What is the value of 4⁷? =
  37. 37.What is the value of 5⁵ × 5⁻¹? =
  38. 38.What is the value of 2⁴ × 2⁻³? =
  39. 39.What is the value of 2⁹? =
  40. 40.What is the value of 10² × 10⁻⁴? =

Answer key

  1. 1/16
  2. 2300000
  3. 0.25
  4. 63
  5. 4
  6. 0.0088
  7. 46656
  8. 1/512
  9. 32
  10. 680000
  11. 15
  12. 1/8
  13. 8
  14. 59049
  15. 8192
  16. 16
  17. 19683
  18. 2187
  19. 2
  20. 8
  21. 2
  22. 10
  23. 7
  24. 1/10000
  25. 0.47
  26. 2048
  27. 4
  28. 24
  29. 28
  30. 1/729
  31. 410
  32. 0.014
  33. 4100000
  34. 1/100
  35. 128
  36. 16384
  37. 625
  38. 2
  39. 512
  40. 1/100

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