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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 287 · 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. 1.5.3 × 10⁵ =
  2. 2.Write 6⁸ × 6³ as a single power 6ⁿ. What is n?
  3. 3.Write 6.1 × 10⁻³ as a decimal. =
  4. 4.What is the value of 2¹¹? =
  5. 5.What is the value of (3/7)⁻²? =
  6. 6.2.8 × 10² =
  7. 7.What is the value of (2/3)⁻²? =
  8. 8.Write 4¹⁷ ÷ 4⁸ as a single power 4ⁿ. What is n?
  9. 9.Write 4⁹ × 4⁸ as a single power 4ⁿ. What is n?
  10. 10.Write 8.6 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 10⁵ × 10⁻⁵? =
  12. 12.What is the value of 8⁴? =
  13. 13.Write 9⁹ × 9⁵ as a single power 9ⁿ. What is n?
  14. 14.Write 2² × 2⁹ as a single power 2ⁿ. What is n?
  15. 15.Write (3⁸)³ as a single power 3ⁿ. What is n?
  16. 16.Write 9 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 3⁶ × 3⁻¹? =
  18. 18.What is the value of 10⁶ × 10⁻³? =
  19. 19.What is the value of 8⁻³ (as a fraction)? =
  20. 20.What is the value of 2¹⁵? =
  21. 21.Write 4.8 × 10⁻² as a decimal. =
  22. 22.What is the value of 2³ × 2⁻⁶? =
  23. 23.What is the value of 7⁻² (as a fraction)? =
  24. 24.Write 7⁹ ÷ 7⁴ as a single power 7ⁿ. What is n?
  25. 25.What is the value of 8⁵? =
  26. 26.Write 3 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 3¹ × 3⁻³? =
  28. 28.4.6 × 10⁴ =
  29. 29.9.6 × 10⁶ =
  30. 30.Write 2.7 × 10⁻¹ as a decimal. =
  31. 31.Write 5.4 × 10⁻³ as a decimal. =
  32. 32.What is the value of 2¹⁴? =
  33. 33.Write 3 × 10⁻³ as a decimal. =
  34. 34.What is the value of (4/5)⁻²? =
  35. 35.What is the value of (4/7)⁻²? =
  36. 36.What is the value of 2⁻⁴ (as a fraction)? =
  37. 37.What is the value of 2⁶ × 2⁻⁶? =
  38. 38.What is the value of 6²? =
  39. 39.Write 4⁸ × 4³ as a single power 4ⁿ. What is n?
  40. 40.What is the value of 5² × 5⁻⁴? =

Answer key

  1. 530000
  2. 11
  3. 0.0061
  4. 2048
  5. 49/9
  6. 280
  7. 9/4
  8. 9
  9. 17
  10. 0.00086
  11. 1
  12. 4096
  13. 14
  14. 11
  15. 24
  16. 0.9
  17. 243
  18. 1000
  19. 1/512
  20. 32768
  21. 0.048
  22. 1/8
  23. 1/49
  24. 5
  25. 32768
  26. 0.3
  27. 1/9
  28. 46000
  29. 9600000
  30. 0.27
  31. 0.0054
  32. 16384
  33. 0.003
  34. 25/16
  35. 49/16
  36. 1/16
  37. 1
  38. 36
  39. 11
  40. 1/25

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