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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 594 · 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. 1.5.7 × 10⁷ =
  2. 2.Write 1.8 × 10⁻¹ as a decimal. =
  3. 3.Write 9.1 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 3² × 3⁻⁶? =
  5. 5.Write 5.1 × 10⁻¹ as a decimal. =
  6. 6.Write 2,600 in standard form as 2.6 × 10ⁿ. What is n?
  7. 7.What is the value of 5¹ × 5⁻⁶? =
  8. 8.Write 25,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  9. 9.3.5 × 10⁷ =
  10. 10.What is the value of 8⁵? =
  11. 11.Write (4⁷)⁴ as a single power 4ⁿ. What is n?
  12. 12.What is the value of 10⁵? =
  13. 13.Write 6⁵ × 6⁶ as a single power 6ⁿ. What is n?
  14. 14.What is the value of (3/5)⁻²? =
  15. 15.What is the value of (3/7)⁻²? =
  16. 16.What is the value of 2⁻² (as a fraction)? =
  17. 17.What is the value of 2⁻⁶ (as a fraction)? =
  18. 18.Write 3.5 × 10⁻² as a decimal. =
  19. 19.What is the value of (3/4)⁻¹? =
  20. 20.What is the value of 5¹ × 5⁻³? =
  21. 21.What is the value of 6⁻² (as a fraction)? =
  22. 22.3.1 × 10³ =
  23. 23.What is the value of 6⁴? =
  24. 24.What is the value of 3⁴? =
  25. 25.Write 5⁹ ÷ 5² as a single power 5ⁿ. What is n?
  26. 26.What is the value of 10⁵ × 10⁻¹? =
  27. 27.What is the value of 3⁻⁵ (as a fraction)? =
  28. 28.What is the value of 4⁶? =
  29. 29.Write 7¹³ ÷ 7⁹ as a single power 7ⁿ. What is n?
  30. 30.Write 3⁹ × 3⁸ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 2¹¹? =
  32. 32.Write 6,600 in standard form as 6.6 × 10ⁿ. What is n?
  33. 33.What is the value of 3⁻⁴ (as a fraction)? =
  34. 34.Write 6¹⁰ ÷ 6⁷ as a single power 6ⁿ. What is n?
  35. 35.Write 6.7 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 10¹ × 10⁻⁴? =
  37. 37.Write 5.7 × 10⁻³ as a decimal. =
  38. 38.What is the value of 2⁵ × 2⁻²? =
  39. 39.What is the value of 8²? =
  40. 40.Write 7.5 × 10⁻³ as a decimal. =

Answer key

  1. 57000000
  2. 0.18
  3. 0.00091
  4. 1/81
  5. 0.51
  6. 3
  7. 1/3125
  8. 6
  9. 35000000
  10. 32768
  11. 28
  12. 100000
  13. 11
  14. 25/9
  15. 49/9
  16. 1/4
  17. 1/64
  18. 0.035
  19. 4/3
  20. 1/25
  21. 1/36
  22. 3100
  23. 1296
  24. 81
  25. 7
  26. 10000
  27. 1/243
  28. 4096
  29. 4
  30. 17
  31. 2048
  32. 3
  33. 1/81
  34. 3
  35. 0.00067
  36. 1/1000
  37. 0.0057
  38. 8
  39. 64
  40. 0.0075

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