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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 456 · 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 10⁴? =
  2. 2.What is the value of 3⁴? =
  3. 3.Write 2.7 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of (1/3)⁻¹? =
  5. 5.What is the value of 10⁴ × 10⁻⁴? =
  6. 6.Write 8⁹ ÷ 8⁴ as a single power 8ⁿ. What is n?
  7. 7.What is the value of (1/9)⁻²? =
  8. 8.Write 4.1 × 10⁻² as a decimal. =
  9. 9.Write 7¹⁰ ÷ 7⁴ as a single power 7ⁿ. What is n?
  10. 10.Write 5⁷ ÷ 5⁴ as a single power 5ⁿ. What is n?
  11. 11.What is the value of (2/5)⁻¹? =
  12. 12.What is the value of 6⁶? =
  13. 13.What is the value of 6⁴? =
  14. 14.Write 8¹⁷ ÷ 8⁸ as a single power 8ⁿ. What is n?
  15. 15.What is the value of (1/2)⁻¹? =
  16. 16.Write 7⁷ ÷ 7² as a single power 7ⁿ. What is n?
  17. 17.Write 53,00,000 in standard form as 5.3 × 10ⁿ. What is n?
  18. 18.Write 6.1 × 10⁻⁴ as a decimal. =
  19. 19.Write 5.5 × 10⁻¹ as a decimal. =
  20. 20.3 × 10² =
  21. 21.6.6 × 10⁵ =
  22. 22.Write 9,00,000 in standard form as 9 × 10ⁿ. What is n?
  23. 23.3.4 × 10² =
  24. 24.What is the value of 2⁻³ (as a fraction)? =
  25. 25.What is the value of 3⁷? =
  26. 26.Write (2⁷)⁸ as a single power 2ⁿ. What is n?
  27. 27.What is the value of 2⁻⁶ (as a fraction)? =
  28. 28.What is the value of 3⁵ × 3⁻³? =
  29. 29.What is the value of 4⁻³ (as a fraction)? =
  30. 30.Write 2.5 × 10⁻³ as a decimal. =
  31. 31.Write 4.9 × 10⁻³ as a decimal. =
  32. 32.Write 7⁹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  33. 33.Write (2⁴)⁴ as a single power 2ⁿ. What is n?
  34. 34.What is the value of 2⁻² (as a fraction)? =
  35. 35.Write 5.9 × 10⁻³ as a decimal. =
  36. 36.Write 3.7 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of (4/9)⁻¹? =
  38. 38.What is the value of 10⁴ × 10⁻³? =
  39. 39.What is the value of 7³? =
  40. 40.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?

Answer key

  1. 10000
  2. 81
  3. 0.00027
  4. 3
  5. 1
  6. 5
  7. 81
  8. 0.041
  9. 6
  10. 3
  11. 5/2
  12. 46656
  13. 1296
  14. 9
  15. 2
  16. 5
  17. 6
  18. 0.00061
  19. 0.55
  20. 300
  21. 660000
  22. 5
  23. 340
  24. 1/8
  25. 2187
  26. 56
  27. 1/64
  28. 9
  29. 1/64
  30. 0.0025
  31. 0.0049
  32. 3
  33. 16
  34. 1/4
  35. 0.0059
  36. 0.00037
  37. 9/4
  38. 10
  39. 343
  40. 3

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