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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 379 · 40 sums
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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 8.1 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 3⁻² (as a fraction)? =
  3. 3.What is the value of (2/5)⁻¹? =
  4. 4.What is the value of (1/5)⁻¹? =
  5. 5.9.4 × 10³ =
  6. 6.What is the value of (1/2)⁻²? =
  7. 7.What is the value of 4⁵? =
  8. 8.Write 8¹³ ÷ 8⁵ as a single power 8ⁿ. What is n?
  9. 9.Write 5.6 × 10⁻⁴ as a decimal. =
  10. 10.What is the value of 3² × 3⁻³? =
  11. 11.What is the value of 8⁵? =
  12. 12.Write 9.9 × 10⁻² as a decimal. =
  13. 13.Write 5.1 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 3¹⁰? =
  15. 15.What is the value of 8⁻³ (as a fraction)? =
  16. 16.Write 8² × 8⁴ as a single power 8ⁿ. What is n?
  17. 17.What is the value of 7⁵? =
  18. 18.What is the value of (1/7)⁻²? =
  19. 19.What is the value of 10⁴? =
  20. 20.Write (4⁷)³ as a single power 4ⁿ. What is n?
  21. 21.8.9 × 10² =
  22. 22.Write 8,50,00,000 in standard form as 8.5 × 10ⁿ. What is n?
  23. 23.What is the value of 3⁻¹ (as a fraction)? =
  24. 24.Write 6.3 × 10⁻² as a decimal. =
  25. 25.What is the value of (4/9)⁻²? =
  26. 26.What is the value of 2¹ × 2⁻⁵? =
  27. 27.Write 3,50,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  28. 28.What is the value of (4/5)⁻¹? =
  29. 29.What is the value of 2⁵? =
  30. 30.What is the value of 2²? =
  31. 31.Write 2¹⁰ ÷ 2⁵ as a single power 2ⁿ. What is n?
  32. 32.What is the value of 2² × 2⁻¹? =
  33. 33.Write 2.5 × 10⁻³ as a decimal. =
  34. 34.What is the value of (4/5)⁻²? =
  35. 35.What is the value of 8⁻² (as a fraction)? =
  36. 36.What is the value of 3⁵ × 3⁻⁵? =
  37. 37.Write 2⁴ × 2⁴ as a single power 2ⁿ. What is n?
  38. 38.What is the value of 3¹ × 3⁻¹? =
  39. 39.What is the value of 2⁻⁵ (as a fraction)? =
  40. 40.What is the value of 10⁵? =

Answer key

  1. 0.00081
  2. 1/9
  3. 5/2
  4. 5
  5. 9400
  6. 4
  7. 1024
  8. 8
  9. 0.00056
  10. 1/3
  11. 32768
  12. 0.099
  13. 0.51
  14. 59049
  15. 1/512
  16. 6
  17. 16807
  18. 49
  19. 10000
  20. 21
  21. 890
  22. 7
  23. 1/3
  24. 0.063
  25. 81/16
  26. 1/16
  27. 7
  28. 5/4
  29. 32
  30. 4
  31. 5
  32. 2
  33. 0.0025
  34. 25/16
  35. 1/64
  36. 1
  37. 8
  38. 1
  39. 1/32
  40. 100000

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