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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 97 · 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.Write 8.8 × 10⁻⁴ as a decimal. =
  2. 2.Write 3.9 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 2⁷? =
  4. 4.What is the value of (5/8)⁻¹? =
  5. 5.What is the value of 3⁷? =
  6. 6.What is the value of 8⁵? =
  7. 7.Write 7⁷ × 7² as a single power 7ⁿ. What is n?
  8. 8.2.9 × 10⁶ =
  9. 9.Write 2 × 10⁻³ as a decimal. =
  10. 10.What is the value of 5⁻³ (as a fraction)? =
  11. 11.Write 34,00,000 in standard form as 3.4 × 10ⁿ. What is n?
  12. 12.What is the value of 2¹ × 2⁻¹? =
  13. 13.What is the value of 2⁹? =
  14. 14.What is the value of 3⁹? =
  15. 15.Write (6⁹)⁴ as a single power 6ⁿ. What is n?
  16. 16.Write 2.9 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 10⁵? =
  18. 18.Write (6⁵)³ as a single power 6ⁿ. What is n?
  19. 19.What is the value of 4⁷? =
  20. 20.Write 2 × 10⁻¹ as a decimal. =
  21. 21.Write (3⁶)⁹ as a single power 3ⁿ. What is n?
  22. 22.What is the value of 9³? =
  23. 23.What is the value of 2⁵ × 2⁻³? =
  24. 24.What is the value of 6³? =
  25. 25.Write 9.6 × 10⁻² as a decimal. =
  26. 26.What is the value of 10⁵ × 10⁻⁶? =
  27. 27.What is the value of (6/7)⁻²? =
  28. 28.Write 4,500 in standard form as 4.5 × 10ⁿ. What is n?
  29. 29.Write 6¹¹ ÷ 6⁷ as a single power 6ⁿ. What is n?
  30. 30.What is the value of 2⁴? =
  31. 31.What is the value of 9⁴? =
  32. 32.Write 7⁵ × 7⁴ as a single power 7ⁿ. What is n?
  33. 33.What is the value of 5⁻² (as a fraction)? =
  34. 34.What is the value of 10⁴ × 10⁻²? =
  35. 35.Write (5⁵)⁷ as a single power 5ⁿ. What is n?
  36. 36.Write 2.2 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 10² × 10⁻¹? =
  38. 38.Write 1.5 × 10⁻² as a decimal. =
  39. 39.Write 2² × 2⁵ as a single power 2ⁿ. What is n?
  40. 40.Write 3,80,000 in standard form as 3.8 × 10ⁿ. What is n?

Answer key

  1. 0.00088
  2. 0.00039
  3. 128
  4. 8/5
  5. 2187
  6. 32768
  7. 9
  8. 2900000
  9. 0.002
  10. 1/125
  11. 6
  12. 1
  13. 512
  14. 19683
  15. 36
  16. 0.00029
  17. 100000
  18. 15
  19. 16384
  20. 0.2
  21. 54
  22. 729
  23. 4
  24. 216
  25. 0.096
  26. 1/10
  27. 49/36
  28. 3
  29. 4
  30. 16
  31. 6561
  32. 9
  33. 1/25
  34. 100
  35. 35
  36. 0.00022
  37. 10
  38. 0.015
  39. 7
  40. 5

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