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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 977 · 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 (1/5)⁻²? =
  2. 2.What is the value of 10⁵? =
  3. 3.Write 440 in standard form as 4.4 × 10ⁿ. What is n?
  4. 4.Write 3,400 in standard form as 3.4 × 10ⁿ. What is n?
  5. 5.What is the value of 2¹ × 2⁻²? =
  6. 6.Write 2.3 × 10⁻¹ as a decimal. =
  7. 7.Write 5⁶ × 5² as a single power 5ⁿ. What is n?
  8. 8.What is the value of 3⁵ × 3⁻⁴? =
  9. 9.What is the value of 2¹²? =
  10. 10.What is the value of 2¹¹? =
  11. 11.8.5 × 10⁴ =
  12. 12.What is the value of 2⁶? =
  13. 13.What is the value of (3/4)⁻²? =
  14. 14.Write 3 × 10⁻⁴ as a decimal. =
  15. 15.Write 5¹⁶ ÷ 5⁷ as a single power 5ⁿ. What is n?
  16. 16.What is the value of 7³? =
  17. 17.Write 56,000 in standard form as 5.6 × 10ⁿ. What is n?
  18. 18.What is the value of 10¹ × 10⁻⁴? =
  19. 19.What is the value of 7²? =
  20. 20.9.1 × 10³ =
  21. 21.Write 44,00,000 in standard form as 4.4 × 10ⁿ. What is n?
  22. 22.What is the value of 2¹⁵? =
  23. 23.What is the value of (7/9)⁻¹? =
  24. 24.3.8 × 10² =
  25. 25.Write (8⁴)⁵ as a single power 8ⁿ. What is n?
  26. 26.What is the value of 5² × 5⁻⁶? =
  27. 27.What is the value of 3⁷? =
  28. 28.What is the value of 2³ × 2⁻⁶? =
  29. 29.Write 4.3 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 2² × 2⁻⁶? =
  31. 31.Write 6⁴ × 6⁵ as a single power 6ⁿ. What is n?
  32. 32.1.1 × 10³ =
  33. 33.Write 8¹⁵ ÷ 8⁶ as a single power 8ⁿ. What is n?
  34. 34.Write 9.1 × 10⁻³ as a decimal. =
  35. 35.What is the value of 2⁻¹ (as a fraction)? =
  36. 36.Write (8²)³ as a single power 8ⁿ. What is n?
  37. 37.Write 2.9 × 10⁻² as a decimal. =
  38. 38.What is the value of 10⁵ × 10⁻⁴? =
  39. 39.Write 11,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  40. 40.Write 9.2 × 10⁻² as a decimal. =

Answer key

  1. 25
  2. 100000
  3. 2
  4. 3
  5. 1/2
  6. 0.23
  7. 8
  8. 3
  9. 4096
  10. 2048
  11. 85000
  12. 64
  13. 16/9
  14. 0.0003
  15. 9
  16. 343
  17. 4
  18. 1/1000
  19. 49
  20. 9100
  21. 6
  22. 32768
  23. 9/7
  24. 380
  25. 20
  26. 1/625
  27. 2187
  28. 1/8
  29. 0.00043
  30. 1/16
  31. 9
  32. 1100
  33. 9
  34. 0.0091
  35. 1/2
  36. 6
  37. 0.029
  38. 10
  39. 6
  40. 0.092

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