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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 667 · 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. 1.1.9 × 10⁷ =
  2. 2.Write 6⁹ × 6⁸ as a single power 6ⁿ. What is n?
  3. 3.2.7 × 10³ =
  4. 4.What is the value of 2²? =
  5. 5.Write (3²)⁸ as a single power 3ⁿ. What is n?
  6. 6.What is the value of 5¹ × 5⁻²? =
  7. 7.What is the value of 3⁶? =
  8. 8.What is the value of 3⁴? =
  9. 9.What is the value of 2⁸? =
  10. 10.What is the value of (3/5)⁻²? =
  11. 11.Write 9³ × 9⁴ as a single power 9ⁿ. What is n?
  12. 12.What is the value of 5⁷? =
  13. 13.Write 4.1 × 10⁻³ as a decimal. =
  14. 14.Write 6.2 × 10⁻³ as a decimal. =
  15. 15.Write 9² × 9³ as a single power 9ⁿ. What is n?
  16. 16.Write 6¹⁴ ÷ 6⁸ as a single power 6ⁿ. What is n?
  17. 17.Write 1,90,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  18. 18.What is the value of 8²? =
  19. 19.2.9 × 10⁷ =
  20. 20.Write 4⁷ × 4⁷ as a single power 4ⁿ. What is n?
  21. 21.Write 20,000 in standard form as 2 × 10ⁿ. What is n?
  22. 22.Write 2⁹ × 2³ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 4⁸? =
  24. 24.1.5 × 10² =
  25. 25.Write 2¹³ ÷ 2⁶ as a single power 2ⁿ. What is n?
  26. 26.1.1 × 10⁷ =
  27. 27.Write 8⁸ ÷ 8² as a single power 8ⁿ. What is n?
  28. 28.What is the value of 5⁻¹ (as a fraction)? =
  29. 29.What is the value of 5³ × 5⁻⁶? =
  30. 30.9.1 × 10² =
  31. 31.Write 4⁷ × 4³ as a single power 4ⁿ. What is n?
  32. 32.What is the value of 2¹ × 2⁻³? =
  33. 33.What is the value of 3⁵ × 3⁻¹? =
  34. 34.5.2 × 10³ =
  35. 35.What is the value of 5² × 5⁻⁵? =
  36. 36.What is the value of (7/8)⁻¹? =
  37. 37.Write 4⁶ × 4⁹ as a single power 4ⁿ. What is n?
  38. 38.Write (9⁹)⁴ as a single power 9ⁿ. What is n?
  39. 39.What is the value of 2¹⁴? =
  40. 40.What is the value of 9⁴? =

Answer key

  1. 19000000
  2. 17
  3. 2700
  4. 4
  5. 16
  6. 1/5
  7. 729
  8. 81
  9. 256
  10. 25/9
  11. 7
  12. 78125
  13. 0.0041
  14. 0.0062
  15. 5
  16. 6
  17. 7
  18. 64
  19. 29000000
  20. 14
  21. 4
  22. 12
  23. 65536
  24. 150
  25. 7
  26. 11000000
  27. 6
  28. 1/5
  29. 1/125
  30. 910
  31. 10
  32. 1/4
  33. 81
  34. 5200
  35. 1/125
  36. 8/7
  37. 15
  38. 36
  39. 16384
  40. 6561

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