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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 375 · 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. 1.4 × 10⁶ =
  2. 2.What is the value of 4⁴? =
  3. 3.What is the value of 10³ × 10⁻⁵? =
  4. 4.What is the value of 10² × 10⁻²? =
  5. 5.Write 8.7 × 10⁻¹ as a decimal. =
  6. 6.Write 2⁷ × 2³ as a single power 2ⁿ. What is n?
  7. 7.What is the value of (1/7)⁻¹? =
  8. 8.Write 7¹¹ ÷ 7² as a single power 7ⁿ. What is n?
  9. 9.What is the value of (2/7)⁻¹? =
  10. 10.What is the value of 2¹ × 2⁻³? =
  11. 11.Write 530 in standard form as 5.3 × 10ⁿ. What is n?
  12. 12.Write 320 in standard form as 3.2 × 10ⁿ. What is n?
  13. 13.Write 1.3 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 2⁷? =
  15. 15.What is the value of 8²? =
  16. 16.Write 7.2 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 2¹³? =
  18. 18.What is the value of 5² × 5⁻¹? =
  19. 19.Write 390 in standard form as 3.9 × 10ⁿ. What is n?
  20. 20.What is the value of 3⁴ × 3⁻⁴? =
  21. 21.What is the value of 4³? =
  22. 22.What is the value of (4/7)⁻²? =
  23. 23.What is the value of 2⁻⁹ (as a fraction)? =
  24. 24.Write 7⁷ × 7⁸ as a single power 7ⁿ. What is n?
  25. 25.What is the value of 2⁶ × 2⁻⁴? =
  26. 26.Write 6⁹ × 6⁷ as a single power 6ⁿ. What is n?
  27. 27.What is the value of 2⁻⁶ (as a fraction)? =
  28. 28.Write (6⁸)⁷ as a single power 6ⁿ. What is n?
  29. 29.What is the value of 10³ × 10⁻⁶? =
  30. 30.Write 7.8 × 10⁻³ as a decimal. =
  31. 31.What is the value of 5² × 5⁻³? =
  32. 32.Write 460 in standard form as 4.6 × 10ⁿ. What is n?
  33. 33.What is the value of (1/3)⁻²? =
  34. 34.Write 6.7 × 10⁻³ as a decimal. =
  35. 35.Write 1,20,00,000 in standard form as 1.2 × 10ⁿ. What is n?
  36. 36.Write 5,30,000 in standard form as 5.3 × 10ⁿ. What is n?
  37. 37.What is the value of 4⁷? =
  38. 38.9.5 × 10⁴ =
  39. 39.Write 2.7 × 10⁻¹ as a decimal. =
  40. 40.6.1 × 10⁶ =

Answer key

  1. 4000000
  2. 256
  3. 1/100
  4. 1
  5. 0.87
  6. 10
  7. 7
  8. 9
  9. 7/2
  10. 1/4
  11. 2
  12. 2
  13. 0.00013
  14. 128
  15. 64
  16. 0.00072
  17. 8192
  18. 5
  19. 2
  20. 1
  21. 64
  22. 49/16
  23. 1/512
  24. 15
  25. 4
  26. 16
  27. 1/64
  28. 56
  29. 1/1000
  30. 0.0078
  31. 1/5
  32. 2
  33. 9
  34. 0.0067
  35. 7
  36. 5
  37. 16384
  38. 95000
  39. 0.27
  40. 6100000

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