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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 132 · 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 3⁵ × 3⁻²? =
  2. 2.Write 8.1 × 10⁻² as a decimal. =
  3. 3.What is the value of 3⁶ × 3⁻²? =
  4. 4.What is the value of 5⁶ × 5⁻⁴? =
  5. 5.What is the value of 10²? =
  6. 6.What is the value of 4⁻⁴ (as a fraction)? =
  7. 7.What is the value of 4⁶? =
  8. 8.What is the value of 4⁵? =
  9. 9.Write 7.9 × 10⁻³ as a decimal. =
  10. 10.What is the value of 7²? =
  11. 11.Write 7.6 × 10⁻² as a decimal. =
  12. 12.What is the value of 2³? =
  13. 13.Write 84,000 in standard form as 8.4 × 10ⁿ. What is n?
  14. 14.Write (3³)⁸ as a single power 3ⁿ. What is n?
  15. 15.What is the value of 5⁴? =
  16. 16.Write 43,00,000 in standard form as 4.3 × 10ⁿ. What is n?
  17. 17.What is the value of 10² × 10⁻⁵? =
  18. 18.Write 4.3 × 10⁻⁴ as a decimal. =
  19. 19.Write 9¹⁰ ÷ 9⁷ as a single power 9ⁿ. What is n?
  20. 20.What is the value of 5⁻³ (as a fraction)? =
  21. 21.What is the value of (3/8)⁻¹? =
  22. 22.What is the value of 2⁵ × 2⁻⁵? =
  23. 23.What is the value of 4⁻² (as a fraction)? =
  24. 24.What is the value of 10⁵? =
  25. 25.2.7 × 10⁶ =
  26. 26.Write 5² × 5² as a single power 5ⁿ. What is n?
  27. 27.What is the value of 2² × 2⁻⁶? =
  28. 28.What is the value of 2⁴? =
  29. 29.Write 7¹⁰ ÷ 7⁶ as a single power 7ⁿ. What is n?
  30. 30.Write 1.2 × 10⁻⁴ as a decimal. =
  31. 31.6.4 × 10² =
  32. 32.Write 4¹² ÷ 4⁹ as a single power 4ⁿ. What is n?
  33. 33.6.5 × 10⁴ =
  34. 34.Write (7²)³ as a single power 7ⁿ. What is n?
  35. 35.Write 4,30,000 in standard form as 4.3 × 10ⁿ. What is n?
  36. 36.Write 5,60,000 in standard form as 5.6 × 10ⁿ. What is n?
  37. 37.Write 6⁶ ÷ 6⁴ as a single power 6ⁿ. What is n?
  38. 38.Write 7³ × 7⁸ as a single power 7ⁿ. What is n?
  39. 39.What is the value of 4⁷? =
  40. 40.What is the value of 8⁻³ (as a fraction)? =

Answer key

  1. 27
  2. 0.081
  3. 81
  4. 25
  5. 100
  6. 1/256
  7. 4096
  8. 1024
  9. 0.0079
  10. 49
  11. 0.076
  12. 8
  13. 4
  14. 24
  15. 625
  16. 6
  17. 1/1000
  18. 0.00043
  19. 3
  20. 1/125
  21. 8/3
  22. 1
  23. 1/16
  24. 100000
  25. 2700000
  26. 4
  27. 1/16
  28. 16
  29. 4
  30. 0.00012
  31. 640
  32. 3
  33. 65000
  34. 6
  35. 5
  36. 5
  37. 2
  38. 11
  39. 16384
  40. 1/512

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