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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 13 · 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.What is the value of 5⁴ × 5⁻⁶? =
  2. 2.Write 6⁸ × 6⁷ as a single power 6ⁿ. What is n?
  3. 3.What is the value of 5⁻¹ (as a fraction)? =
  4. 4.What is the value of 2⁸? =
  5. 5.What is the value of 3⁵ × 3⁻⁴? =
  6. 6.3 × 10⁶ =
  7. 7.What is the value of 4⁴? =
  8. 8.Write (3³)⁷ as a single power 3ⁿ. What is n?
  9. 9.Write 25,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  10. 10.What is the value of (7/9)⁻²? =
  11. 11.What is the value of 5³ × 5⁻⁶? =
  12. 12.What is the value of 5⁴ × 5⁻²? =
  13. 13.What is the value of 3⁹? =
  14. 14.What is the value of (4/7)⁻²? =
  15. 15.What is the value of 8⁴? =
  16. 16.Write 3⁷ × 3⁹ as a single power 3ⁿ. What is n?
  17. 17.What is the value of 4⁸? =
  18. 18.Write (2⁷)⁵ as a single power 2ⁿ. What is n?
  19. 19.3.5 × 10⁷ =
  20. 20.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
  21. 21.What is the value of 5⁴ × 5⁻⁵? =
  22. 22.What is the value of 3¹ × 3⁻⁶? =
  23. 23.What is the value of 8²? =
  24. 24.Write 3¹¹ ÷ 3⁶ as a single power 3ⁿ. What is n?
  25. 25.8.9 × 10⁵ =
  26. 26.1.2 × 10² =
  27. 27.Write 8.2 × 10⁻¹ as a decimal. =
  28. 28.Write 3,100 in standard form as 3.1 × 10ⁿ. What is n?
  29. 29.What is the value of 5² × 5⁻⁴? =
  30. 30.What is the value of (1/4)⁻²? =
  31. 31.Write 8³ × 8³ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 10³ × 10⁻⁴? =
  33. 33.What is the value of 6⁵? =
  34. 34.What is the value of 2¹⁰? =
  35. 35.What is the value of 3⁶ × 3⁻⁵? =
  36. 36.Write 1.7 × 10⁻³ as a decimal. =
  37. 37.What is the value of 2⁻⁹ (as a fraction)? =
  38. 38.Write 5.6 × 10⁻³ as a decimal. =
  39. 39.What is the value of (2/9)⁻¹? =
  40. 40.Write 1,80,000 in standard form as 1.8 × 10ⁿ. What is n?

Answer key

  1. 1/25
  2. 15
  3. 1/5
  4. 256
  5. 3
  6. 3000000
  7. 256
  8. 21
  9. 6
  10. 81/49
  11. 1/125
  12. 25
  13. 19683
  14. 49/16
  15. 4096
  16. 16
  17. 65536
  18. 35
  19. 35000000
  20. 6
  21. 1/5
  22. 1/243
  23. 64
  24. 5
  25. 890000
  26. 120
  27. 0.82
  28. 3
  29. 1/25
  30. 16
  31. 6
  32. 1/10
  33. 7776
  34. 1024
  35. 3
  36. 0.0017
  37. 1/512
  38. 0.0056
  39. 9/2
  40. 5

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