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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 170 · 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 8⁻² (as a fraction)? =
  2. 2.Write (6²)³ as a single power 6ⁿ. What is n?
  3. 3.What is the value of 2¹⁶? =
  4. 4.5.8 × 10³ =
  5. 5.Write (4⁵)² as a single power 4ⁿ. What is n?
  6. 6.Write 8.8 × 10⁻⁴ as a decimal. =
  7. 7.Write 89,00,000 in standard form as 8.9 × 10ⁿ. What is n?
  8. 8.1.7 × 10⁷ =
  9. 9.7.5 × 10⁶ =
  10. 10.What is the value of 4³? =
  11. 11.Write 8.2 × 10⁻⁴ as a decimal. =
  12. 12.Write 4.6 × 10⁻⁴ as a decimal. =
  13. 13.Write (4⁸)⁷ as a single power 4ⁿ. What is n?
  14. 14.Write 6,100 in standard form as 6.1 × 10ⁿ. What is n?
  15. 15.What is the value of (3/4)⁻²? =
  16. 16.Write 5.6 × 10⁻¹ as a decimal. =
  17. 17.Write (5⁴)⁴ as a single power 5ⁿ. What is n?
  18. 18.1.8 × 10⁵ =
  19. 19.What is the value of 10⁵ × 10⁻³? =
  20. 20.Write 6³ × 6⁷ as a single power 6ⁿ. What is n?
  21. 21.Write 3.5 × 10⁻³ as a decimal. =
  22. 22.What is the value of 3⁴? =
  23. 23.Write 2⁸ × 2³ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 2¹³? =
  25. 25.What is the value of 5⁵? =
  26. 26.What is the value of (7/9)⁻¹? =
  27. 27.5.9 × 10⁴ =
  28. 28.Write 3³ × 3² as a single power 3ⁿ. What is n?
  29. 29.Write 8.4 × 10⁻⁴ as a decimal. =
  30. 30.Write 9¹⁰ ÷ 9⁵ as a single power 9ⁿ. What is n?
  31. 31.Write 6.5 × 10⁻⁴ as a decimal. =
  32. 32.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
  33. 33.Write 4.5 × 10⁻⁴ as a decimal. =
  34. 34.Write (2⁶)⁴ as a single power 2ⁿ. What is n?
  35. 35.Write 4⁵ × 4³ as a single power 4ⁿ. What is n?
  36. 36.What is the value of 3¹ × 3⁻²? =
  37. 37.Write 9.4 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 7²? =
  39. 39.What is the value of 3⁻¹ (as a fraction)? =
  40. 40.What is the value of 2⁻² (as a fraction)? =

Answer key

  1. 1/64
  2. 6
  3. 65536
  4. 5800
  5. 10
  6. 0.00088
  7. 6
  8. 17000000
  9. 7500000
  10. 64
  11. 0.00082
  12. 0.00046
  13. 56
  14. 3
  15. 16/9
  16. 0.56
  17. 16
  18. 180000
  19. 100
  20. 10
  21. 0.0035
  22. 81
  23. 11
  24. 8192
  25. 3125
  26. 9/7
  27. 59000
  28. 5
  29. 0.00084
  30. 5
  31. 0.00065
  32. 13
  33. 0.00045
  34. 24
  35. 8
  36. 1/3
  37. 0.00094
  38. 49
  39. 1/3
  40. 1/4

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