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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 761 · 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 2⁴ × 2⁻²? =
  2. 2.What is the value of 2⁴? =
  3. 3.3 × 10² =
  4. 4.Write 7.5 × 10⁻³ as a decimal. =
  5. 5.What is the value of 2⁻⁶ (as a fraction)? =
  6. 6.What is the value of (2/7)⁻²? =
  7. 7.Write 9⁵ ÷ 9³ as a single power 9ⁿ. What is n?
  8. 8.Write (8³)⁵ as a single power 8ⁿ. What is n?
  9. 9.What is the value of 5⁵? =
  10. 10.Write 5.5 × 10⁻¹ as a decimal. =
  11. 11.4.8 × 10² =
  12. 12.What is the value of 6⁵? =
  13. 13.What is the value of 10⁴? =
  14. 14.What is the value of 7²? =
  15. 15.Write (3²)⁴ as a single power 3ⁿ. What is n?
  16. 16.6.8 × 10² =
  17. 17.What is the value of (5/7)⁻²? =
  18. 18.Write 6⁴ × 6³ as a single power 6ⁿ. What is n?
  19. 19.What is the value of 2⁻⁷ (as a fraction)? =
  20. 20.What is the value of 2³? =
  21. 21.What is the value of 4⁻³ (as a fraction)? =
  22. 22.Write 5.3 × 10⁻¹ as a decimal. =
  23. 23.Write 7,10,00,000 in standard form as 7.1 × 10ⁿ. What is n?
  24. 24.Write 5,80,000 in standard form as 5.8 × 10ⁿ. What is n?
  25. 25.What is the value of (3/8)⁻²? =
  26. 26.Write 3.9 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 3⁵? =
  28. 28.Write 4⁷ × 4⁸ as a single power 4ⁿ. What is n?
  29. 29.What is the value of 10²? =
  30. 30.2.8 × 10⁶ =
  31. 31.Write 8⁴ × 8⁷ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 3⁹? =
  33. 33.Write 6⁸ ÷ 6⁶ as a single power 6ⁿ. What is n?
  34. 34.Write 6¹² ÷ 6⁷ as a single power 6ⁿ. What is n?
  35. 35.7.8 × 10⁷ =
  36. 36.1.9 × 10⁴ =
  37. 37.Write (8⁹)³ as a single power 8ⁿ. What is n?
  38. 38.Write 2.7 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 2⁵ × 2⁻²? =
  40. 40.9.6 × 10⁴ =

Answer key

  1. 4
  2. 16
  3. 300
  4. 0.0075
  5. 1/64
  6. 49/4
  7. 2
  8. 15
  9. 3125
  10. 0.55
  11. 480
  12. 7776
  13. 10000
  14. 49
  15. 8
  16. 680
  17. 49/25
  18. 7
  19. 1/128
  20. 8
  21. 1/64
  22. 0.53
  23. 7
  24. 5
  25. 64/9
  26. 0.00039
  27. 243
  28. 15
  29. 100
  30. 2800000
  31. 11
  32. 19683
  33. 2
  34. 5
  35. 78000000
  36. 19000
  37. 27
  38. 0.27
  39. 8
  40. 96000

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