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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 50 · 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. 1.8.3 × 10³ =
  2. 2.Write 6.9 × 10⁻² as a decimal. =
  3. 3.What is the value of 3⁴ × 3⁻³? =
  4. 4.What is the value of 7³? =
  5. 5.What is the value of 2⁶ × 2⁻³? =
  6. 6.Write 25,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  7. 7.Write 6² × 6⁷ as a single power 6ⁿ. What is n?
  8. 8.What is the value of 10² × 10⁻²? =
  9. 9.What is the value of 6⁶? =
  10. 10.What is the value of 10² × 10⁻⁵? =
  11. 11.What is the value of (1/4)⁻²? =
  12. 12.What is the value of 2⁻⁵ (as a fraction)? =
  13. 13.What is the value of 3² × 3⁻⁶? =
  14. 14.What is the value of 8⁻³ (as a fraction)? =
  15. 15.What is the value of (2/7)⁻¹? =
  16. 16.What is the value of 3⁴ × 3⁻⁶? =
  17. 17.9.2 × 10⁵ =
  18. 18.Write 3.9 × 10⁻² as a decimal. =
  19. 19.What is the value of 3⁴ × 3⁻⁴? =
  20. 20.What is the value of 5⁵ × 5⁻²? =
  21. 21.Write 190 in standard form as 1.9 × 10ⁿ. What is n?
  22. 22.Write 8⁵ × 8⁵ as a single power 8ⁿ. What is n?
  23. 23.What is the value of 2⁴? =
  24. 24.What is the value of 10¹ × 10⁻⁴? =
  25. 25.What is the value of 3⁸? =
  26. 26.Write 4¹⁰ ÷ 4⁴ as a single power 4ⁿ. What is n?
  27. 27.Write 3¹⁰ ÷ 3⁴ as a single power 3ⁿ. What is n?
  28. 28.Write 3³ × 3² as a single power 3ⁿ. What is n?
  29. 29.Write 1,50,00,000 in standard form as 1.5 × 10ⁿ. What is n?
  30. 30.Write 8,40,00,000 in standard form as 8.4 × 10ⁿ. What is n?
  31. 31.What is the value of 2⁶? =
  32. 32.What is the value of 9⁴? =
  33. 33.What is the value of 10⁻¹ (as a fraction)? =
  34. 34.Write 9,800 in standard form as 9.8 × 10ⁿ. What is n?
  35. 35.Write 9.3 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 5⁵? =
  37. 37.What is the value of 5² × 5⁻⁶? =
  38. 38.What is the value of (6/7)⁻²? =
  39. 39.2.5 × 10⁷ =
  40. 40.3.3 × 10² =

Answer key

  1. 8300
  2. 0.069
  3. 3
  4. 343
  5. 8
  6. 6
  7. 9
  8. 1
  9. 46656
  10. 1/1000
  11. 16
  12. 1/32
  13. 1/81
  14. 1/512
  15. 7/2
  16. 1/9
  17. 920000
  18. 0.039
  19. 1
  20. 125
  21. 2
  22. 10
  23. 16
  24. 1/1000
  25. 6561
  26. 6
  27. 6
  28. 5
  29. 7
  30. 7
  31. 64
  32. 6561
  33. 1/10
  34. 3
  35. 0.00093
  36. 3125
  37. 1/625
  38. 49/36
  39. 25000000
  40. 330

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