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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 240 · 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 (8⁹)² as a single power 8ⁿ. What is n?
  2. 2.Write (2²)² as a single power 2ⁿ. What is n?
  3. 3.What is the value of 2¹¹? =
  4. 4.3.7 × 10² =
  5. 5.Write 6¹¹ ÷ 6⁶ as a single power 6ⁿ. What is n?
  6. 6.3.9 × 10² =
  7. 7.What is the value of 5⁵ × 5⁻⁵? =
  8. 8.What is the value of (6/7)⁻¹? =
  9. 9.What is the value of 2¹⁴? =
  10. 10.Write 280 in standard form as 2.8 × 10ⁿ. What is n?
  11. 11.What is the value of 3¹ × 3⁻⁴? =
  12. 12.Write 5.8 × 10⁻² as a decimal. =
  13. 13.Write 63,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  14. 14.Write 8.8 × 10⁻² as a decimal. =
  15. 15.Write 4⁴ × 4⁴ as a single power 4ⁿ. What is n?
  16. 16.What is the value of (5/7)⁻¹? =
  17. 17.Write 5.6 × 10⁻¹ as a decimal. =
  18. 18.What is the value of (3/8)⁻¹? =
  19. 19.Write (3⁷)⁷ as a single power 3ⁿ. What is n?
  20. 20.What is the value of (1/9)⁻¹? =
  21. 21.What is the value of 3² × 3⁻¹? =
  22. 22.Write 4.8 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 3² × 3⁻²? =
  24. 24.Write 53,000 in standard form as 5.3 × 10ⁿ. What is n?
  25. 25.Write 8.4 × 10⁻³ as a decimal. =
  26. 26.Write (4⁵)⁴ as a single power 4ⁿ. What is n?
  27. 27.What is the value of 5³ × 5⁻¹? =
  28. 28.Write 1.5 × 10⁻³ as a decimal. =
  29. 29.Write 7.9 × 10⁻¹ as a decimal. =
  30. 30.Write 6.4 × 10⁻¹ as a decimal. =
  31. 31.Write (9²)² as a single power 9ⁿ. What is n?
  32. 32.Write (5⁵)⁶ as a single power 5ⁿ. What is n?
  33. 33.What is the value of 9⁴? =
  34. 34.What is the value of 6²? =
  35. 35.Write 2.5 × 10⁻¹ as a decimal. =
  36. 36.Write 3 × 10⁻¹ as a decimal. =
  37. 37.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
  38. 38.3.9 × 10³ =
  39. 39.What is the value of 3¹ × 3⁻²? =
  40. 40.Write (9⁸)³ as a single power 9ⁿ. What is n?

Answer key

  1. 18
  2. 4
  3. 2048
  4. 370
  5. 5
  6. 390
  7. 1
  8. 7/6
  9. 16384
  10. 2
  11. 1/27
  12. 0.058
  13. 6
  14. 0.088
  15. 8
  16. 7/5
  17. 0.56
  18. 8/3
  19. 49
  20. 9
  21. 3
  22. 0.00048
  23. 1
  24. 4
  25. 0.0084
  26. 20
  27. 25
  28. 0.0015
  29. 0.79
  30. 0.64
  31. 4
  32. 30
  33. 6561
  34. 36
  35. 0.25
  36. 0.3
  37. 2
  38. 3900
  39. 1/3
  40. 24

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