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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 369 · 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 8³ × 8⁸ as a single power 8ⁿ. What is n?
  2. 2.Write 2.5 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 2⁵? =
  4. 4.What is the value of 2²? =
  5. 5.Write 9 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 2² × 2⁻³? =
  7. 7.What is the value of 9³? =
  8. 8.What is the value of 6⁻¹ (as a fraction)? =
  9. 9.7.6 × 10⁵ =
  10. 10.What is the value of (1/3)⁻²? =
  11. 11.Write 4.9 × 10⁻² as a decimal. =
  12. 12.What is the value of 3⁻² (as a fraction)? =
  13. 13.5.1 × 10³ =
  14. 14.Write 8,90,000 in standard form as 8.9 × 10ⁿ. What is n?
  15. 15.What is the value of 2³ × 2⁻²? =
  16. 16.What is the value of (2/5)⁻²? =
  17. 17.What is the value of 2³ × 2⁻⁵? =
  18. 18.What is the value of 3²? =
  19. 19.What is the value of 10³ × 10⁻²? =
  20. 20.Write 6.1 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 3⁴ × 3⁻²? =
  22. 22.What is the value of 10⁵ × 10⁻⁵? =
  23. 23.Write 4.3 × 10⁻² as a decimal. =
  24. 24.Write 3 × 10⁻⁴ as a decimal. =
  25. 25.Write 8² × 8³ as a single power 8ⁿ. What is n?
  26. 26.Write 97,000 in standard form as 9.7 × 10ⁿ. What is n?
  27. 27.Write 9 × 10⁻⁴ as a decimal. =
  28. 28.Write (2³)⁴ as a single power 2ⁿ. What is n?
  29. 29.What is the value of 3³ × 3⁻²? =
  30. 30.What is the value of 4⁻² (as a fraction)? =
  31. 31.What is the value of 10⁵ × 10⁻⁶? =
  32. 32.Write (6⁵)⁴ as a single power 6ⁿ. What is n?
  33. 33.What is the value of (1/9)⁻²? =
  34. 34.3.1 × 10⁴ =
  35. 35.Write (7⁸)⁶ as a single power 7ⁿ. What is n?
  36. 36.What is the value of 2¹³? =
  37. 37.What is the value of 5⁻¹ (as a fraction)? =
  38. 38.Write 1,300 in standard form as 1.3 × 10ⁿ. What is n?
  39. 39.What is the value of 10⁵? =
  40. 40.Write 7.3 × 10⁻¹ as a decimal. =

Answer key

  1. 11
  2. 0.25
  3. 32
  4. 4
  5. 0.9
  6. 1/2
  7. 729
  8. 1/6
  9. 760000
  10. 9
  11. 0.049
  12. 1/9
  13. 5100
  14. 5
  15. 2
  16. 25/4
  17. 1/4
  18. 9
  19. 10
  20. 0.61
  21. 9
  22. 1
  23. 0.043
  24. 0.0003
  25. 5
  26. 4
  27. 0.0009
  28. 12
  29. 3
  30. 1/16
  31. 1/10
  32. 20
  33. 81
  34. 31000
  35. 48
  36. 8192
  37. 1/5
  38. 3
  39. 100000
  40. 0.73

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