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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 955 · 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.What is the value of (8/9)⁻²? =
  2. 2.Write 300 in standard form as 3 × 10ⁿ. What is n?
  3. 3.What is the value of 5³? =
  4. 4.Write 3⁶ ÷ 3³ as a single power 3ⁿ. What is n?
  5. 5.What is the value of 2¹³? =
  6. 6.Write 2.5 × 10⁻¹ as a decimal. =
  7. 7.Write (2³)³ as a single power 2ⁿ. What is n?
  8. 8.Write 7.8 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 4⁻⁴ (as a fraction)? =
  10. 10.Write 2⁹ × 2⁸ as a single power 2ⁿ. What is n?
  11. 11.Write 3¹² ÷ 3⁷ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 2⁻⁹ (as a fraction)? =
  13. 13.What is the value of 10¹ × 10⁻⁵? =
  14. 14.What is the value of 3²? =
  15. 15.Write 2,10,00,000 in standard form as 2.1 × 10ⁿ. What is n?
  16. 16.What is the value of 2¹⁰? =
  17. 17.8.3 × 10⁷ =
  18. 18.Write (2⁶)⁷ as a single power 2ⁿ. What is n?
  19. 19.Write (4⁵)⁷ as a single power 4ⁿ. What is n?
  20. 20.What is the value of 6²? =
  21. 21.What is the value of 2²? =
  22. 22.Write (5⁶)³ as a single power 5ⁿ. What is n?
  23. 23.Write 2¹³ ÷ 2⁶ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 5² × 5⁻²? =
  25. 25.What is the value of 8⁻² (as a fraction)? =
  26. 26.Write 4.9 × 10⁻⁴ as a decimal. =
  27. 27.Write 8⁵ × 8⁴ as a single power 8ⁿ. What is n?
  28. 28.What is the value of (1/8)⁻²? =
  29. 29.What is the value of 6³? =
  30. 30.7.4 × 10³ =
  31. 31.What is the value of 9⁻² (as a fraction)? =
  32. 32.Write 7² × 7² as a single power 7ⁿ. What is n?
  33. 33.What is the value of (5/8)⁻¹? =
  34. 34.Write 9.7 × 10⁻² as a decimal. =
  35. 35.2.6 × 10⁴ =
  36. 36.Write 8.8 × 10⁻³ as a decimal. =
  37. 37.Write 6⁴ ÷ 6² as a single power 6ⁿ. What is n?
  38. 38.What is the value of 3³? =
  39. 39.7.2 × 10² =
  40. 40.What is the value of (1/5)⁻¹? =

Answer key

  1. 81/64
  2. 2
  3. 125
  4. 3
  5. 8192
  6. 0.25
  7. 9
  8. 0.78
  9. 1/256
  10. 17
  11. 5
  12. 1/512
  13. 1/10000
  14. 9
  15. 7
  16. 1024
  17. 83000000
  18. 42
  19. 35
  20. 36
  21. 4
  22. 18
  23. 7
  24. 1
  25. 1/64
  26. 0.00049
  27. 9
  28. 64
  29. 216
  30. 7400
  31. 1/81
  32. 4
  33. 8/5
  34. 0.097
  35. 26000
  36. 0.0088
  37. 2
  38. 27
  39. 720
  40. 5

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