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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 804 · 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.Write 8¹⁴ ÷ 8⁶ as a single power 8ⁿ. What is n?
  2. 2.Write 5⁶ ÷ 5² as a single power 5ⁿ. What is n?
  3. 3.What is the value of (1/4)⁻¹? =
  4. 4.Write 2⁹ × 2² as a single power 2ⁿ. What is n?
  5. 5.3.5 × 10³ =
  6. 6.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
  7. 7.7.8 × 10² =
  8. 8.What is the value of 2¹ × 2⁻³? =
  9. 9.What is the value of (5/6)⁻¹? =
  10. 10.What is the value of 3³ × 3⁻⁵? =
  11. 11.Write 6 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of 7⁻² (as a fraction)? =
  13. 13.What is the value of 3⁵? =
  14. 14.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
  15. 15.Write 9⁹ ÷ 9⁶ as a single power 9ⁿ. What is n?
  16. 16.What is the value of 2⁸? =
  17. 17.1.6 × 10⁴ =
  18. 18.Write 3 × 10⁻¹ as a decimal. =
  19. 19.9.1 × 10² =
  20. 20.Write 8.7 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 5⁵? =
  22. 22.Write 4⁶ × 4³ as a single power 4ⁿ. What is n?
  23. 23.6.5 × 10³ =
  24. 24.What is the value of 6⁻¹ (as a fraction)? =
  25. 25.Write 9 × 10⁻⁴ as a decimal. =
  26. 26.Write 3⁷ × 3⁶ as a single power 3ⁿ. What is n?
  27. 27.What is the value of 2⁵ × 2⁻¹? =
  28. 28.Write 5⁷ × 5⁸ as a single power 5ⁿ. What is n?
  29. 29.What is the value of 8⁻² (as a fraction)? =
  30. 30.What is the value of 2⁴ × 2⁻⁶? =
  31. 31.What is the value of 2⁵ × 2⁻⁶? =
  32. 32.Write 9.4 × 10⁻² as a decimal. =
  33. 33.5.4 × 10² =
  34. 34.Write 8 × 10⁻³ as a decimal. =
  35. 35.What is the value of 2¹³? =
  36. 36.What is the value of 3³? =
  37. 37.Write 4.7 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 2⁵? =
  39. 39.Write 2.2 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 2⁴? =

Answer key

  1. 8
  2. 4
  3. 4
  4. 11
  5. 3500
  6. 2
  7. 780
  8. 1/4
  9. 6/5
  10. 1/9
  11. 0.0006
  12. 1/49
  13. 243
  14. 2
  15. 3
  16. 256
  17. 16000
  18. 0.3
  19. 910
  20. 0.00087
  21. 3125
  22. 9
  23. 6500
  24. 1/6
  25. 0.0009
  26. 13
  27. 16
  28. 15
  29. 1/64
  30. 1/4
  31. 1/2
  32. 0.094
  33. 540
  34. 0.008
  35. 8192
  36. 27
  37. 0.47
  38. 32
  39. 0.00022
  40. 16

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