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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 517 · 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 7.3 × 10⁻⁴ as a decimal. =
  2. 2.Write 8⁴ × 8⁹ as a single power 8ⁿ. What is n?
  3. 3.What is the value of 6⁻³ (as a fraction)? =
  4. 4.Write 7,00,000 in standard form as 7 × 10ⁿ. What is n?
  5. 5.What is the value of 3³ × 3⁻¹? =
  6. 6.Write (8²)⁹ as a single power 8ⁿ. What is n?
  7. 7.What is the value of 2⁻⁹ (as a fraction)? =
  8. 8.What is the value of 5⁵? =
  9. 9.Write 9⁸ × 9³ as a single power 9ⁿ. What is n?
  10. 10.What is the value of (1/3)⁻²? =
  11. 11.What is the value of 6⁵? =
  12. 12.What is the value of 2²? =
  13. 13.What is the value of 2² × 2⁻¹? =
  14. 14.What is the value of (6/7)⁻¹? =
  15. 15.Write 2.4 × 10⁻³ as a decimal. =
  16. 16.What is the value of 2¹ × 2⁻⁴? =
  17. 17.What is the value of 2⁹? =
  18. 18.Write 4⁷ × 4⁹ as a single power 4ⁿ. What is n?
  19. 19.Write 8,00,00,000 in standard form as 8 × 10ⁿ. What is n?
  20. 20.Write (3²)³ as a single power 3ⁿ. What is n?
  21. 21.Write 2⁷ × 2³ as a single power 2ⁿ. What is n?
  22. 22.Write 8⁹ × 8³ as a single power 8ⁿ. What is n?
  23. 23.Write 4¹² ÷ 4⁹ as a single power 4ⁿ. What is n?
  24. 24.What is the value of 9³? =
  25. 25.What is the value of 3³? =
  26. 26.What is the value of 2⁷? =
  27. 27.Write 9⁹ × 9³ as a single power 9ⁿ. What is n?
  28. 28.What is the value of 4⁶? =
  29. 29.What is the value of 6⁶? =
  30. 30.Write 5.7 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 3³ × 3⁻²? =
  32. 32.Write 3,30,00,000 in standard form as 3.3 × 10ⁿ. What is n?
  33. 33.5.8 × 10⁴ =
  34. 34.What is the value of (1/9)⁻¹? =
  35. 35.What is the value of 4⁷? =
  36. 36.What is the value of 3⁵? =
  37. 37.Write 6⁷ × 6⁵ as a single power 6ⁿ. What is n?
  38. 38.Write 3,60,000 in standard form as 3.6 × 10ⁿ. What is n?
  39. 39.2.7 × 10⁴ =
  40. 40.What is the value of 2¹⁴? =

Answer key

  1. 0.00073
  2. 13
  3. 1/216
  4. 5
  5. 9
  6. 18
  7. 1/512
  8. 3125
  9. 11
  10. 9
  11. 7776
  12. 4
  13. 2
  14. 7/6
  15. 0.0024
  16. 1/8
  17. 512
  18. 16
  19. 7
  20. 6
  21. 10
  22. 12
  23. 3
  24. 729
  25. 27
  26. 128
  27. 12
  28. 4096
  29. 46656
  30. 0.00057
  31. 3
  32. 7
  33. 58000
  34. 9
  35. 16384
  36. 243
  37. 12
  38. 5
  39. 27000
  40. 16384

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