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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 415 · 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 6.3 × 10⁻¹ as a decimal. =
  2. 2.Write 6⁵ × 6³ as a single power 6ⁿ. What is n?
  3. 3.What is the value of 10³ × 10⁻⁶? =
  4. 4.What is the value of 2¹¹? =
  5. 5.Write (7⁵)³ as a single power 7ⁿ. What is n?
  6. 6.What is the value of (1/5)⁻²? =
  7. 7.Write 3,00,00,000 in standard form as 3 × 10ⁿ. What is n?
  8. 8.What is the value of 5¹ × 5⁻²? =
  9. 9.What is the value of (6/7)⁻¹? =
  10. 10.What is the value of 2¹⁵? =
  11. 11.Write 6.5 × 10⁻³ as a decimal. =
  12. 12.What is the value of 10⁶ × 10⁻⁵? =
  13. 13.Write 2⁹ ÷ 2² as a single power 2ⁿ. What is n?
  14. 14.Write 4¹⁰ ÷ 4⁷ as a single power 4ⁿ. What is n?
  15. 15.What is the value of 8²? =
  16. 16.What is the value of 2²? =
  17. 17.Write 5.1 × 10⁻² as a decimal. =
  18. 18.What is the value of 5⁴? =
  19. 19.Write 3⁸ × 3⁶ as a single power 3ⁿ. What is n?
  20. 20.Write 1,900 in standard form as 1.9 × 10ⁿ. What is n?
  21. 21.What is the value of 5⁶? =
  22. 22.Write 8.5 × 10⁻³ as a decimal. =
  23. 23.What is the value of 2⁸? =
  24. 24.What is the value of 2¹ × 2⁻¹? =
  25. 25.Write 7 × 10⁻³ as a decimal. =
  26. 26.What is the value of 2⁶ × 2⁻⁵? =
  27. 27.What is the value of 9³? =
  28. 28.Write (8⁹)⁹ as a single power 8ⁿ. What is n?
  29. 29.What is the value of 5⁻² (as a fraction)? =
  30. 30.What is the value of 3⁻³ (as a fraction)? =
  31. 31.Write 3.2 × 10⁻¹ as a decimal. =
  32. 32.9.5 × 10⁶ =
  33. 33.What is the value of 5⁵? =
  34. 34.Write 9,400 in standard form as 9.4 × 10ⁿ. What is n?
  35. 35.What is the value of 2⁶? =
  36. 36.What is the value of 5³? =
  37. 37.What is the value of 10² × 10⁻⁵? =
  38. 38.9.6 × 10⁴ =
  39. 39.What is the value of 9⁵? =
  40. 40.Write 6,800 in standard form as 6.8 × 10ⁿ. What is n?

Answer key

  1. 0.63
  2. 8
  3. 1/1000
  4. 2048
  5. 15
  6. 25
  7. 7
  8. 1/5
  9. 7/6
  10. 32768
  11. 0.0065
  12. 10
  13. 7
  14. 3
  15. 64
  16. 4
  17. 0.051
  18. 625
  19. 14
  20. 3
  21. 15625
  22. 0.0085
  23. 256
  24. 1
  25. 0.007
  26. 2
  27. 729
  28. 81
  29. 1/25
  30. 1/27
  31. 0.32
  32. 9500000
  33. 3125
  34. 3
  35. 64
  36. 125
  37. 1/1000
  38. 96000
  39. 59049
  40. 3

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