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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 600 · 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 (3⁷)⁶ as a single power 3ⁿ. What is n?
  2. 2.What is the value of 2⁷? =
  3. 3.Write 4,600 in standard form as 4.6 × 10ⁿ. What is n?
  4. 4.What is the value of (2/3)⁻²? =
  5. 5.6.8 × 10⁷ =
  6. 6.Write 7¹¹ ÷ 7² as a single power 7ⁿ. What is n?
  7. 7.Write 8,00,00,000 in standard form as 8 × 10ⁿ. What is n?
  8. 8.Write 6¹⁴ ÷ 6⁸ as a single power 6ⁿ. What is n?
  9. 9.Write 5.5 × 10⁻² as a decimal. =
  10. 10.Write 8.1 × 10⁻² as a decimal. =
  11. 11.What is the value of 3² × 3⁻⁵? =
  12. 12.2.9 × 10² =
  13. 13.Write 9⁹ × 9⁸ as a single power 9ⁿ. What is n?
  14. 14.What is the value of (3/5)⁻¹? =
  15. 15.2.4 × 10² =
  16. 16.What is the value of 10⁶ × 10⁻⁴? =
  17. 17.3.3 × 10⁶ =
  18. 18.7.5 × 10² =
  19. 19.Write 18,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  20. 20.What is the value of 2² × 2⁻⁶? =
  21. 21.What is the value of 6⁴? =
  22. 22.Write 4.9 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 4⁸? =
  24. 24.What is the value of (3/5)⁻²? =
  25. 25.Write 4.4 × 10⁻³ as a decimal. =
  26. 26.Write 89,000 in standard form as 8.9 × 10ⁿ. What is n?
  27. 27.Write (8²)⁸ as a single power 8ⁿ. What is n?
  28. 28.Write 2³ × 2⁴ as a single power 2ⁿ. What is n?
  29. 29.What is the value of 2⁵ × 2⁻⁴? =
  30. 30.Write 8¹⁶ ÷ 8⁷ as a single power 8ⁿ. What is n?
  31. 31.4.8 × 10⁵ =
  32. 32.What is the value of 10⁴ × 10⁻²? =
  33. 33.What is the value of 5³? =
  34. 34.Write 8.7 × 10⁻³ as a decimal. =
  35. 35.What is the value of 2⁵ × 2⁻¹? =
  36. 36.What is the value of 10⁵ × 10⁻²? =
  37. 37.What is the value of 4⁷? =
  38. 38.What is the value of 10³ × 10⁻⁵? =
  39. 39.What is the value of (3/7)⁻²? =
  40. 40.What is the value of 5⁷? =

Answer key

  1. 42
  2. 128
  3. 3
  4. 9/4
  5. 68000000
  6. 9
  7. 7
  8. 6
  9. 0.055
  10. 0.081
  11. 1/27
  12. 290
  13. 17
  14. 5/3
  15. 240
  16. 100
  17. 3300000
  18. 750
  19. 6
  20. 1/16
  21. 1296
  22. 0.00049
  23. 65536
  24. 25/9
  25. 0.0044
  26. 4
  27. 16
  28. 7
  29. 2
  30. 9
  31. 480000
  32. 100
  33. 125
  34. 0.0087
  35. 16
  36. 1000
  37. 16384
  38. 1/100
  39. 49/9
  40. 78125

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