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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 58 · 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 3²? =
  2. 2.What is the value of 3⁶ × 3⁻²? =
  3. 3.What is the value of 4⁴? =
  4. 4.What is the value of 6⁵? =
  5. 5.What is the value of (1/7)⁻²? =
  6. 6.What is the value of (7/8)⁻¹? =
  7. 7.9.5 × 10² =
  8. 8.Write 2.7 × 10⁻⁴ as a decimal. =
  9. 9.Write 7,800 in standard form as 7.8 × 10ⁿ. What is n?
  10. 10.Write 8³ × 8² as a single power 8ⁿ. What is n?
  11. 11.What is the value of 2²? =
  12. 12.Write 3.6 × 10⁻³ as a decimal. =
  13. 13.Write 6¹¹ ÷ 6⁸ as a single power 6ⁿ. What is n?
  14. 14.What is the value of 2¹⁴? =
  15. 15.What is the value of 8⁵? =
  16. 16.Write 8,500 in standard form as 8.5 × 10ⁿ. What is n?
  17. 17.Write 8.2 × 10⁻¹ as a decimal. =
  18. 18.What is the value of (1/7)⁻¹? =
  19. 19.Write 3,50,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  20. 20.Write 7⁷ ÷ 7³ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 9⁻¹ (as a fraction)? =
  22. 22.What is the value of 3⁻² (as a fraction)? =
  23. 23.What is the value of 4⁷? =
  24. 24.What is the value of 10⁶ × 10⁻¹? =
  25. 25.1.8 × 10⁷ =
  26. 26.What is the value of 2⁴? =
  27. 27.What is the value of 2² × 2⁻¹? =
  28. 28.What is the value of 10⁻² (as a fraction)? =
  29. 29.What is the value of (4/5)⁻¹? =
  30. 30.What is the value of (5/7)⁻²? =
  31. 31.What is the value of 5⁶ × 5⁻²? =
  32. 32.Write 5¹¹ ÷ 5³ as a single power 5ⁿ. What is n?
  33. 33.8.9 × 10⁵ =
  34. 34.What is the value of 2⁹? =
  35. 35.What is the value of 2⁻¹ (as a fraction)? =
  36. 36.What is the value of 5² × 5⁻⁵? =
  37. 37.Write 9 × 10⁻³ as a decimal. =
  38. 38.What is the value of 10⁻³ (as a fraction)? =
  39. 39.Write (5⁶)⁹ as a single power 5ⁿ. What is n?
  40. 40.What is the value of 3⁵ × 3⁻⁴? =

Answer key

  1. 9
  2. 81
  3. 256
  4. 7776
  5. 49
  6. 8/7
  7. 950
  8. 0.00027
  9. 3
  10. 5
  11. 4
  12. 0.0036
  13. 3
  14. 16384
  15. 32768
  16. 3
  17. 0.82
  18. 7
  19. 7
  20. 4
  21. 1/9
  22. 1/9
  23. 16384
  24. 100000
  25. 18000000
  26. 16
  27. 2
  28. 1/100
  29. 5/4
  30. 49/25
  31. 625
  32. 8
  33. 890000
  34. 512
  35. 1/2
  36. 1/125
  37. 0.009
  38. 1/1000
  39. 54
  40. 3

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