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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 184 · 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 1.5 × 10⁻³ as a decimal. =
  2. 2.2.8 × 10³ =
  3. 3.What is the value of 10³? =
  4. 4.2.2 × 10² =
  5. 5.Write 2.7 × 10⁻³ as a decimal. =
  6. 6.What is the value of 2⁶? =
  7. 7.What is the value of (3/5)⁻²? =
  8. 8.3.9 × 10³ =
  9. 9.Write 9.3 × 10⁻² as a decimal. =
  10. 10.What is the value of 10²? =
  11. 11.Write 2⁸ ÷ 2⁶ as a single power 2ⁿ. What is n?
  12. 12.What is the value of 6⁵? =
  13. 13.What is the value of 2³ × 2⁻¹? =
  14. 14.Write 2.6 × 10⁻⁴ as a decimal. =
  15. 15.3.1 × 10³ =
  16. 16.What is the value of 4⁴? =
  17. 17.Write 5⁹ × 5⁸ as a single power 5ⁿ. What is n?
  18. 18.Write 39,000 in standard form as 3.9 × 10ⁿ. What is n?
  19. 19.Write 2.6 × 10⁻³ as a decimal. =
  20. 20.What is the value of 3⁻⁴ (as a fraction)? =
  21. 21.What is the value of 8⁻¹ (as a fraction)? =
  22. 22.What is the value of (2/9)⁻²? =
  23. 23.Write 490 in standard form as 4.9 × 10ⁿ. What is n?
  24. 24.Write 3.1 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 2⁻⁷ (as a fraction)? =
  26. 26.Write 12,000 in standard form as 1.2 × 10ⁿ. What is n?
  27. 27.Write 700 in standard form as 7 × 10ⁿ. What is n?
  28. 28.4.2 × 10² =
  29. 29.Write 2⁷ × 2⁴ as a single power 2ⁿ. What is n?
  30. 30.3.2 × 10⁴ =
  31. 31.Write 3.9 × 10⁻¹ as a decimal. =
  32. 32.Write 3.2 × 10⁻³ as a decimal. =
  33. 33.What is the value of 7²? =
  34. 34.What is the value of 7⁻² (as a fraction)? =
  35. 35.What is the value of 3⁷? =
  36. 36.Write 1.8 × 10⁻³ as a decimal. =
  37. 37.2 × 10⁵ =
  38. 38.Write 8 × 10⁻² as a decimal. =
  39. 39.Write (7²)⁴ as a single power 7ⁿ. What is n?
  40. 40.What is the value of 5² × 5⁻³? =

Answer key

  1. 0.0015
  2. 2800
  3. 1000
  4. 220
  5. 0.0027
  6. 64
  7. 25/9
  8. 3900
  9. 0.093
  10. 100
  11. 2
  12. 7776
  13. 4
  14. 0.00026
  15. 3100
  16. 256
  17. 17
  18. 4
  19. 0.0026
  20. 1/81
  21. 1/8
  22. 81/4
  23. 2
  24. 0.00031
  25. 1/128
  26. 4
  27. 2
  28. 420
  29. 11
  30. 32000
  31. 0.39
  32. 0.0032
  33. 49
  34. 1/49
  35. 2187
  36. 0.0018
  37. 200000
  38. 0.08
  39. 8
  40. 1/5

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