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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 927 · 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 10³ × 10⁻⁴? =
  2. 2.What is the value of 2¹²? =
  3. 3.Write 7,30,000 in standard form as 7.3 × 10ⁿ. What is n?
  4. 4.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  5. 5.What is the value of 3⁹? =
  6. 6.What is the value of 9⁵? =
  7. 7.What is the value of 2¹ × 2⁻²? =
  8. 8.What is the value of (1/5)⁻¹? =
  9. 9.What is the value of 5⁴ × 5⁻⁵? =
  10. 10.5.1 × 10³ =
  11. 11.Write 7.8 × 10⁻² as a decimal. =
  12. 12.Write 2.3 × 10⁻³ as a decimal. =
  13. 13.What is the value of 10⁶ × 10⁻²? =
  14. 14.Write 7.9 × 10⁻² as a decimal. =
  15. 15.What is the value of 5⁴? =
  16. 16.Write 8.7 × 10⁻¹ as a decimal. =
  17. 17.3.9 × 10² =
  18. 18.What is the value of 2⁶? =
  19. 19.Write 790 in standard form as 7.9 × 10ⁿ. What is n?
  20. 20.What is the value of 5⁷? =
  21. 21.Write 5¹³ ÷ 5⁶ as a single power 5ⁿ. What is n?
  22. 22.What is the value of 2⁴? =
  23. 23.What is the value of 4⁻² (as a fraction)? =
  24. 24.2.8 × 10² =
  25. 25.Write 2,100 in standard form as 2.1 × 10ⁿ. What is n?
  26. 26.Write 9⁸ × 9³ as a single power 9ⁿ. What is n?
  27. 27.What is the value of 6⁻² (as a fraction)? =
  28. 28.7.1 × 10² =
  29. 29.What is the value of 3⁻⁴ (as a fraction)? =
  30. 30.Write (7⁵)³ as a single power 7ⁿ. What is n?
  31. 31.6.9 × 10⁵ =
  32. 32.Write (3⁹)⁶ as a single power 3ⁿ. What is n?
  33. 33.What is the value of 2³ × 2⁻⁶? =
  34. 34.Write 5¹² ÷ 5⁷ as a single power 5ⁿ. What is n?
  35. 35.Write 6.2 × 10⁻³ as a decimal. =
  36. 36.Write 9.3 × 10⁻¹ as a decimal. =
  37. 37.Write 50,00,000 in standard form as 5 × 10ⁿ. What is n?
  38. 38.Write 8⁹ ÷ 8⁵ as a single power 8ⁿ. What is n?
  39. 39.Write (7⁸)⁹ as a single power 7ⁿ. What is n?
  40. 40.What is the value of 10⁵? =

Answer key

  1. 1/10
  2. 4096
  3. 5
  4. 9
  5. 19683
  6. 59049
  7. 1/2
  8. 5
  9. 1/5
  10. 5100
  11. 0.078
  12. 0.0023
  13. 10000
  14. 0.079
  15. 625
  16. 0.87
  17. 390
  18. 64
  19. 2
  20. 78125
  21. 7
  22. 16
  23. 1/16
  24. 280
  25. 3
  26. 11
  27. 1/36
  28. 710
  29. 1/81
  30. 15
  31. 690000
  32. 54
  33. 1/8
  34. 5
  35. 0.0062
  36. 0.93
  37. 6
  38. 4
  39. 72
  40. 100000

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