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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 410 · 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 2⁶? =
  2. 2.Write 1.8 × 10⁻³ as a decimal. =
  3. 3.Write 78,00,000 in standard form as 7.8 × 10ⁿ. What is n?
  4. 4.What is the value of 3² × 3⁻⁴? =
  5. 5.Write (6⁸)⁴ as a single power 6ⁿ. What is n?
  6. 6.What is the value of (4/9)⁻¹? =
  7. 7.Write 5.9 × 10⁻⁴ as a decimal. =
  8. 8.Write (7³)⁹ as a single power 7ⁿ. What is n?
  9. 9.What is the value of 10⁵ × 10⁻⁵? =
  10. 10.8.2 × 10⁴ =
  11. 11.What is the value of 2¹ × 2⁻³? =
  12. 12.5.9 × 10⁵ =
  13. 13.3.9 × 10⁴ =
  14. 14.What is the value of (2/7)⁻²? =
  15. 15.Write 9 × 10⁻¹ as a decimal. =
  16. 16.Write 2¹² ÷ 2⁹ as a single power 2ⁿ. What is n?
  17. 17.Write 8,60,00,000 in standard form as 8.6 × 10ⁿ. What is n?
  18. 18.What is the value of 3⁶ × 3⁻⁵? =
  19. 19.What is the value of (1/4)⁻¹? =
  20. 20.Write 4⁶ × 4⁶ as a single power 4ⁿ. What is n?
  21. 21.What is the value of 4⁸? =
  22. 22.What is the value of 6⁵? =
  23. 23.Write 2² × 2⁵ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 5⁶ × 5⁻⁴? =
  25. 25.Write (2⁴)⁵ as a single power 2ⁿ. What is n?
  26. 26.What is the value of 5⁴ × 5⁻¹? =
  27. 27.What is the value of 6³? =
  28. 28.Write 3¹² ÷ 3⁵ as a single power 3ⁿ. What is n?
  29. 29.What is the value of 4⁴? =
  30. 30.What is the value of 2¹⁵? =
  31. 31.What is the value of 6⁻² (as a fraction)? =
  32. 32.Write (4⁸)⁹ as a single power 4ⁿ. What is n?
  33. 33.Write 6.5 × 10⁻² as a decimal. =
  34. 34.What is the value of 5⁶ × 5⁻²? =
  35. 35.1.6 × 10⁷ =
  36. 36.What is the value of 2¹⁶? =
  37. 37.Write 8¹⁵ ÷ 8⁸ as a single power 8ⁿ. What is n?
  38. 38.What is the value of 9⁴? =
  39. 39.What is the value of 5²? =
  40. 40.Write 6.6 × 10⁻⁴ as a decimal. =

Answer key

  1. 64
  2. 0.0018
  3. 6
  4. 1/9
  5. 32
  6. 9/4
  7. 0.00059
  8. 27
  9. 1
  10. 82000
  11. 1/4
  12. 590000
  13. 39000
  14. 49/4
  15. 0.9
  16. 3
  17. 7
  18. 3
  19. 4
  20. 12
  21. 65536
  22. 7776
  23. 7
  24. 25
  25. 20
  26. 125
  27. 216
  28. 7
  29. 256
  30. 32768
  31. 1/36
  32. 72
  33. 0.065
  34. 625
  35. 16000000
  36. 65536
  37. 7
  38. 6561
  39. 25
  40. 0.00066

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