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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 412 · 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 8²? =
  2. 2.What is the value of 3⁵ × 3⁻⁴? =
  3. 3.Write (3⁵)⁴ as a single power 3ⁿ. What is n?
  4. 4.What is the value of 3³ × 3⁻⁵? =
  5. 5.What is the value of (7/8)⁻²? =
  6. 6.What is the value of 4³? =
  7. 7.7.9 × 10⁵ =
  8. 8.What is the value of 3¹⁰? =
  9. 9.What is the value of 3⁴? =
  10. 10.Write 2¹³ ÷ 2⁸ as a single power 2ⁿ. What is n?
  11. 11.Write 7,50,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  12. 12.What is the value of 10⁴ × 10⁻³? =
  13. 13.Write 8⁸ × 8⁹ as a single power 8ⁿ. What is n?
  14. 14.Write 4,80,000 in standard form as 4.8 × 10ⁿ. What is n?
  15. 15.Write 4.3 × 10⁻¹ as a decimal. =
  16. 16.Write 9 × 10⁻³ as a decimal. =
  17. 17.What is the value of 2¹²? =
  18. 18.Write 8.4 × 10⁻² as a decimal. =
  19. 19.What is the value of 7⁴? =
  20. 20.Write 14,000 in standard form as 1.4 × 10ⁿ. What is n?
  21. 21.7.6 × 10³ =
  22. 22.What is the value of (2/5)⁻²? =
  23. 23.What is the value of (1/2)⁻¹? =
  24. 24.Write 55,00,000 in standard form as 5.5 × 10ⁿ. What is n?
  25. 25.What is the value of 5¹ × 5⁻¹? =
  26. 26.What is the value of 3⁸? =
  27. 27.Write 8⁶ × 8⁶ as a single power 8ⁿ. What is n?
  28. 28.Write 4¹⁷ ÷ 4⁹ as a single power 4ⁿ. What is n?
  29. 29.Write (7⁵)⁹ as a single power 7ⁿ. What is n?
  30. 30.Write 41,00,000 in standard form as 4.1 × 10ⁿ. What is n?
  31. 31.What is the value of 10⁶ × 10⁻⁴? =
  32. 32.What is the value of (8/9)⁻¹? =
  33. 33.2.6 × 10³ =
  34. 34.Write (4²)⁵ as a single power 4ⁿ. What is n?
  35. 35.Write 7¹⁴ ÷ 7⁷ as a single power 7ⁿ. What is n?
  36. 36.8.4 × 10⁵ =
  37. 37.What is the value of 3⁹? =
  38. 38.Write 6¹³ ÷ 6⁶ as a single power 6ⁿ. What is n?
  39. 39.Write (8²)² as a single power 8ⁿ. What is n?
  40. 40.Write 64,00,000 in standard form as 6.4 × 10ⁿ. What is n?

Answer key

  1. 64
  2. 3
  3. 20
  4. 1/9
  5. 64/49
  6. 64
  7. 790000
  8. 59049
  9. 81
  10. 5
  11. 7
  12. 10
  13. 17
  14. 5
  15. 0.43
  16. 0.009
  17. 4096
  18. 0.084
  19. 2401
  20. 4
  21. 7600
  22. 25/4
  23. 2
  24. 6
  25. 1
  26. 6561
  27. 12
  28. 8
  29. 45
  30. 6
  31. 100
  32. 9/8
  33. 2600
  34. 10
  35. 7
  36. 840000
  37. 19683
  38. 7
  39. 4
  40. 6

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