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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 34 · 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 4 × 10⁻³ as a decimal. =
  2. 2.What is the value of 4⁷? =
  3. 3.What is the value of 10²? =
  4. 4.What is the value of 6²? =
  5. 5.Write (3⁵)⁶ as a single power 3ⁿ. What is n?
  6. 6.Write (5⁵)⁸ as a single power 5ⁿ. What is n?
  7. 7.What is the value of 3⁻³ (as a fraction)? =
  8. 8.What is the value of 9⁻² (as a fraction)? =
  9. 9.What is the value of 2⁶? =
  10. 10.What is the value of 5³? =
  11. 11.Write (7⁸)³ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 8⁵? =
  13. 13.3.8 × 10⁴ =
  14. 14.What is the value of 6⁵? =
  15. 15.What is the value of 5⁶ × 5⁻⁴? =
  16. 16.What is the value of 7⁴? =
  17. 17.Write 5 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 2⁻² (as a fraction)? =
  19. 19.Write (2⁹)³ as a single power 2ⁿ. What is n?
  20. 20.What is the value of 2⁸? =
  21. 21.Write 8⁹ ÷ 8⁴ as a single power 8ⁿ. What is n?
  22. 22.Write 8.8 × 10⁻² as a decimal. =
  23. 23.What is the value of 8²? =
  24. 24.What is the value of (1/6)⁻²? =
  25. 25.2.3 × 10³ =
  26. 26.What is the value of (3/7)⁻²? =
  27. 27.Write 8.9 × 10⁻¹ as a decimal. =
  28. 28.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
  29. 29.Write 9.4 × 10⁻² as a decimal. =
  30. 30.Write 7.6 × 10⁻² as a decimal. =
  31. 31.Write 5,20,000 in standard form as 5.2 × 10ⁿ. What is n?
  32. 32.What is the value of 5⁶? =
  33. 33.What is the value of 2⁵? =
  34. 34.What is the value of 7⁻² (as a fraction)? =
  35. 35.Write 3¹¹ ÷ 3⁴ as a single power 3ⁿ. What is n?
  36. 36.Write 7 × 10⁻² as a decimal. =
  37. 37.What is the value of 2¹¹? =
  38. 38.What is the value of (5/8)⁻²? =
  39. 39.What is the value of 8³? =
  40. 40.What is the value of 6⁶? =

Answer key

  1. 0.004
  2. 16384
  3. 100
  4. 36
  5. 30
  6. 40
  7. 1/27
  8. 1/81
  9. 64
  10. 125
  11. 24
  12. 32768
  13. 38000
  14. 7776
  15. 25
  16. 2401
  17. 0.5
  18. 1/4
  19. 27
  20. 256
  21. 5
  22. 0.088
  23. 64
  24. 36
  25. 2300
  26. 49/9
  27. 0.89
  28. 6
  29. 0.094
  30. 0.076
  31. 5
  32. 15625
  33. 32
  34. 1/49
  35. 7
  36. 0.07
  37. 2048
  38. 64/25
  39. 512
  40. 46656

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