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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 460 · 40 sums
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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 3² × 3⁻³? =
  2. 2.What is the value of (2/7)⁻¹? =
  3. 3.Write 3.1 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 5⁻¹ (as a fraction)? =
  5. 5.What is the value of 5² × 5⁻⁶? =
  6. 6.What is the value of 2¹⁶? =
  7. 7.Write 2¹⁵ ÷ 2⁷ as a single power 2ⁿ. What is n?
  8. 8.Write 3⁵ ÷ 3³ as a single power 3ⁿ. What is n?
  9. 9.What is the value of 2⁵? =
  10. 10.What is the value of (7/9)⁻¹? =
  11. 11.What is the value of 2² × 2⁻⁴? =
  12. 12.Write 8⁶ × 8⁷ as a single power 8ⁿ. What is n?
  13. 13.Write 3⁶ × 3² as a single power 3ⁿ. What is n?
  14. 14.Write 73,000 in standard form as 7.3 × 10ⁿ. What is n?
  15. 15.6.4 × 10³ =
  16. 16.Write 4 × 10⁻² as a decimal. =
  17. 17.Write 2.6 × 10⁻⁴ as a decimal. =
  18. 18.Write 2,50,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  19. 19.What is the value of 3⁵? =
  20. 20.Write 9 × 10⁻¹ as a decimal. =
  21. 21.Write 1.6 × 10⁻⁴ as a decimal. =
  22. 22.Write 6.9 × 10⁻² as a decimal. =
  23. 23.2.7 × 10² =
  24. 24.Write 4.6 × 10⁻¹ as a decimal. =
  25. 25.Write 3.3 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 2⁸? =
  27. 27.Write 9¹⁰ ÷ 9⁷ as a single power 9ⁿ. What is n?
  28. 28.What is the value of (1/6)⁻²? =
  29. 29.What is the value of 4⁻¹ (as a fraction)? =
  30. 30.What is the value of (1/9)⁻²? =
  31. 31.Write 170 in standard form as 1.7 × 10ⁿ. What is n?
  32. 32.Write 1,90,000 in standard form as 1.9 × 10ⁿ. What is n?
  33. 33.Write (2³)² as a single power 2ⁿ. What is n?
  34. 34.What is the value of 7⁻³ (as a fraction)? =
  35. 35.What is the value of (5/8)⁻²? =
  36. 36.3.9 × 10² =
  37. 37.Write 2.6 × 10⁻³ as a decimal. =
  38. 38.What is the value of 2⁴? =
  39. 39.Write 4.1 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 10²? =

Answer key

  1. 1/3
  2. 7/2
  3. 0.31
  4. 1/5
  5. 1/625
  6. 65536
  7. 8
  8. 2
  9. 32
  10. 9/7
  11. 1/4
  12. 13
  13. 8
  14. 4
  15. 6400
  16. 0.04
  17. 0.00026
  18. 7
  19. 243
  20. 0.9
  21. 0.00016
  22. 0.069
  23. 270
  24. 0.46
  25. 0.33
  26. 256
  27. 3
  28. 36
  29. 1/4
  30. 81
  31. 2
  32. 5
  33. 6
  34. 1/343
  35. 64/25
  36. 390
  37. 0.0026
  38. 16
  39. 0.41
  40. 100

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