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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 526 · 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 2¹⁶? =
  2. 2.1.4 × 10⁷ =
  3. 3.Write 9.2 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 3⁵ × 3⁻⁴? =
  5. 5.What is the value of 9⁴? =
  6. 6.What is the value of 3⁷? =
  7. 7.Write 9⁹ ÷ 9⁴ as a single power 9ⁿ. What is n?
  8. 8.What is the value of 3⁴? =
  9. 9.Write 1.7 × 10⁻³ as a decimal. =
  10. 10.Write 5,20,00,000 in standard form as 5.2 × 10ⁿ. What is n?
  11. 11.What is the value of 2⁸? =
  12. 12.What is the value of 4²? =
  13. 13.Write 6.3 × 10⁻¹ as a decimal. =
  14. 14.Write (8⁷)⁷ as a single power 8ⁿ. What is n?
  15. 15.What is the value of 2⁷? =
  16. 16.Write 3⁸ ÷ 3⁴ as a single power 3ⁿ. What is n?
  17. 17.What is the value of 4⁸? =
  18. 18.Write 2,60,000 in standard form as 2.6 × 10ⁿ. What is n?
  19. 19.Write 4⁸ ÷ 4³ as a single power 4ⁿ. What is n?
  20. 20.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
  21. 21.Write 8 × 10⁻⁴ as a decimal. =
  22. 22.What is the value of (1/3)⁻²? =
  23. 23.Write 1,20,00,000 in standard form as 1.2 × 10ⁿ. What is n?
  24. 24.What is the value of 3² × 3⁻⁵? =
  25. 25.7.1 × 10⁷ =
  26. 26.Write 2.7 × 10⁻² as a decimal. =
  27. 27.Write 3.6 × 10⁻² as a decimal. =
  28. 28.What is the value of 2⁻⁴ (as a fraction)? =
  29. 29.Write 5.8 × 10⁻⁴ as a decimal. =
  30. 30.Write 24,000 in standard form as 2.4 × 10ⁿ. What is n?
  31. 31.Write (4⁷)⁶ as a single power 4ⁿ. What is n?
  32. 32.Write 7⁹ ÷ 7² as a single power 7ⁿ. What is n?
  33. 33.Write (6⁹)⁵ as a single power 6ⁿ. What is n?
  34. 34.What is the value of (3/8)⁻¹? =
  35. 35.What is the value of (1/6)⁻¹? =
  36. 36.Write 1.2 × 10⁻³ as a decimal. =
  37. 37.4.2 × 10² =
  38. 38.Write 8.6 × 10⁻³ as a decimal. =
  39. 39.Write 4¹⁰ ÷ 4⁵ as a single power 4ⁿ. What is n?
  40. 40.What is the value of 3³ × 3⁻²? =

Answer key

  1. 65536
  2. 14000000
  3. 0.92
  4. 3
  5. 6561
  6. 2187
  7. 5
  8. 81
  9. 0.0017
  10. 7
  11. 256
  12. 16
  13. 0.63
  14. 49
  15. 128
  16. 4
  17. 65536
  18. 5
  19. 5
  20. 2
  21. 0.0008
  22. 9
  23. 7
  24. 1/27
  25. 71000000
  26. 0.027
  27. 0.036
  28. 1/16
  29. 0.00058
  30. 4
  31. 42
  32. 7
  33. 45
  34. 8/3
  35. 6
  36. 0.0012
  37. 420
  38. 0.0086
  39. 5
  40. 3

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