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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 785 · 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 (1/5)⁻²? =
  2. 2.What is the value of 3¹ × 3⁻⁶? =
  3. 3.What is the value of 6⁵? =
  4. 4.What is the value of 5¹ × 5⁻⁴? =
  5. 5.What is the value of 2⁴? =
  6. 6.What is the value of 10³ × 10⁻¹? =
  7. 7.What is the value of (1/2)⁻¹? =
  8. 8.What is the value of 7⁴? =
  9. 9.What is the value of 3⁵ × 3⁻²? =
  10. 10.8.7 × 10⁷ =
  11. 11.What is the value of 4⁸? =
  12. 12.What is the value of 3⁻⁴ (as a fraction)? =
  13. 13.What is the value of 2⁻² (as a fraction)? =
  14. 14.Write (5⁸)⁹ as a single power 5ⁿ. What is n?
  15. 15.What is the value of 3¹ × 3⁻²? =
  16. 16.What is the value of (1/6)⁻¹? =
  17. 17.What is the value of 5⁴ × 5⁻⁴? =
  18. 18.Write 3,800 in standard form as 3.8 × 10ⁿ. What is n?
  19. 19.Write 8⁸ × 8² as a single power 8ⁿ. What is n?
  20. 20.Write 19,000 in standard form as 1.9 × 10ⁿ. What is n?
  21. 21.What is the value of 9²? =
  22. 22.What is the value of 2¹⁴? =
  23. 23.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
  24. 24.7.4 × 10⁵ =
  25. 25.What is the value of 9³? =
  26. 26.Write 6¹² ÷ 6⁷ as a single power 6ⁿ. What is n?
  27. 27.7.6 × 10⁶ =
  28. 28.Write 9³ × 9⁴ as a single power 9ⁿ. What is n?
  29. 29.2 × 10⁷ =
  30. 30.Write 9.3 × 10⁻⁴ as a decimal. =
  31. 31.Write 2,400 in standard form as 2.4 × 10ⁿ. What is n?
  32. 32.What is the value of 4³? =
  33. 33.What is the value of 5⁵ × 5⁻²? =
  34. 34.What is the value of 10³ × 10⁻⁵? =
  35. 35.Write 2 × 10⁻⁴ as a decimal. =
  36. 36.Write 2,600 in standard form as 2.6 × 10ⁿ. What is n?
  37. 37.Write 5⁷ × 5⁴ as a single power 5ⁿ. What is n?
  38. 38.What is the value of 2⁻⁷ (as a fraction)? =
  39. 39.What is the value of (4/9)⁻²? =
  40. 40.What is the value of (5/7)⁻²? =

Answer key

  1. 25
  2. 1/243
  3. 7776
  4. 1/125
  5. 16
  6. 100
  7. 2
  8. 2401
  9. 27
  10. 87000000
  11. 65536
  12. 1/81
  13. 1/4
  14. 72
  15. 1/3
  16. 6
  17. 1
  18. 3
  19. 10
  20. 4
  21. 81
  22. 16384
  23. 2
  24. 740000
  25. 729
  26. 5
  27. 7600000
  28. 7
  29. 20000000
  30. 0.00093
  31. 3
  32. 64
  33. 125
  34. 1/100
  35. 0.0002
  36. 3
  37. 11
  38. 1/128
  39. 81/16
  40. 49/25

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