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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 459 · 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 (2/7)⁻²? =
  2. 2.What is the value of 2³ × 2⁻⁴? =
  3. 3.What is the value of 5⁻¹ (as a fraction)? =
  4. 4.1.4 × 10⁴ =
  5. 5.What is the value of 2⁴ × 2⁻³? =
  6. 6.4.2 × 10² =
  7. 7.What is the value of 3¹⁰? =
  8. 8.2.9 × 10⁴ =
  9. 9.Write (9⁸)⁸ as a single power 9ⁿ. What is n?
  10. 10.Write 9³ × 9⁹ as a single power 9ⁿ. What is n?
  11. 11.What is the value of 3² × 3⁻¹? =
  12. 12.What is the value of 2³? =
  13. 13.Write 6¹² ÷ 6³ as a single power 6ⁿ. What is n?
  14. 14.Write 2,90,00,000 in standard form as 2.9 × 10ⁿ. What is n?
  15. 15.What is the value of 9⁴? =
  16. 16.What is the value of 10⁵ × 10⁻²? =
  17. 17.What is the value of 3³? =
  18. 18.What is the value of 3¹ × 3⁻⁶? =
  19. 19.Write 6.2 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 2¹⁰? =
  21. 21.What is the value of 5⁷? =
  22. 22.What is the value of 3¹ × 3⁻²? =
  23. 23.Write 9.1 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of (1/9)⁻²? =
  25. 25.What is the value of 10⁻³ (as a fraction)? =
  26. 26.What is the value of (2/3)⁻¹? =
  27. 27.Write 46,000 in standard form as 4.6 × 10ⁿ. What is n?
  28. 28.Write 5,40,000 in standard form as 5.4 × 10ⁿ. What is n?
  29. 29.What is the value of 7³? =
  30. 30.Write 44,000 in standard form as 4.4 × 10ⁿ. What is n?
  31. 31.What is the value of 6³? =
  32. 32.Write 9,60,000 in standard form as 9.6 × 10ⁿ. What is n?
  33. 33.Write 8³ × 8⁵ as a single power 8ⁿ. What is n?
  34. 34.7.3 × 10⁵ =
  35. 35.What is the value of 3⁵ × 3⁻²? =
  36. 36.Write 9.5 × 10⁻⁴ as a decimal. =
  37. 37.Write 38,00,000 in standard form as 3.8 × 10ⁿ. What is n?
  38. 38.What is the value of 5⁴? =
  39. 39.What is the value of 8²? =
  40. 40.Write 8.7 × 10⁻⁴ as a decimal. =

Answer key

  1. 49/4
  2. 1/2
  3. 1/5
  4. 14000
  5. 2
  6. 420
  7. 59049
  8. 29000
  9. 64
  10. 12
  11. 3
  12. 8
  13. 9
  14. 7
  15. 6561
  16. 1000
  17. 27
  18. 1/243
  19. 0.62
  20. 1024
  21. 78125
  22. 1/3
  23. 0.00091
  24. 81
  25. 1/1000
  26. 3/2
  27. 4
  28. 5
  29. 343
  30. 4
  31. 216
  32. 5
  33. 8
  34. 730000
  35. 27
  36. 0.00095
  37. 6
  38. 625
  39. 64
  40. 0.00087

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