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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 565 · 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 8³? =
  2. 2.What is the value of 8²? =
  3. 3.5.7 × 10⁵ =
  4. 4.Write 65,000 in standard form as 6.5 × 10ⁿ. What is n?
  5. 5.Write 4.6 × 10⁻² as a decimal. =
  6. 6.What is the value of 2⁵? =
  7. 7.Write 5.7 × 10⁻² as a decimal. =
  8. 8.What is the value of 2¹³? =
  9. 9.What is the value of (2/5)⁻²? =
  10. 10.What is the value of 2¹ × 2⁻⁶? =
  11. 11.Write 3.3 × 10⁻³ as a decimal. =
  12. 12.Write 6⁴ × 6⁶ as a single power 6ⁿ. What is n?
  13. 13.What is the value of 2¹¹? =
  14. 14.What is the value of 2² × 2⁻²? =
  15. 15.Write 8⁹ × 8⁸ as a single power 8ⁿ. What is n?
  16. 16.What is the value of (2/3)⁻²? =
  17. 17.Write 4⁷ ÷ 4⁵ as a single power 4ⁿ. What is n?
  18. 18.Write 3⁸ × 3⁵ as a single power 3ⁿ. What is n?
  19. 19.Write 6.7 × 10⁻² as a decimal. =
  20. 20.What is the value of (2/3)⁻¹? =
  21. 21.What is the value of 3¹ × 3⁻⁴? =
  22. 22.What is the value of 10¹ × 10⁻²? =
  23. 23.What is the value of 7³? =
  24. 24.What is the value of 5¹ × 5⁻⁶? =
  25. 25.What is the value of 5⁵ × 5⁻⁶? =
  26. 26.What is the value of 4⁻¹ (as a fraction)? =
  27. 27.What is the value of (5/7)⁻²? =
  28. 28.Write 38,00,000 in standard form as 3.8 × 10ⁿ. What is n?
  29. 29.What is the value of 10⁶ × 10⁻⁴? =
  30. 30.3.4 × 10⁴ =
  31. 31.What is the value of 4²? =
  32. 32.What is the value of 3⁴ × 3⁻³? =
  33. 33.What is the value of (5/7)⁻¹? =
  34. 34.Write 3.1 × 10⁻⁴ as a decimal. =
  35. 35.Write 4.7 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 5⁶ × 5⁻³? =
  37. 37.What is the value of 3⁻⁵ (as a fraction)? =
  38. 38.What is the value of 3⁻³ (as a fraction)? =
  39. 39.What is the value of 4⁵? =
  40. 40.4 × 10³ =

Answer key

  1. 512
  2. 64
  3. 570000
  4. 4
  5. 0.046
  6. 32
  7. 0.057
  8. 8192
  9. 25/4
  10. 1/32
  11. 0.0033
  12. 10
  13. 2048
  14. 1
  15. 17
  16. 9/4
  17. 2
  18. 13
  19. 0.067
  20. 3/2
  21. 1/27
  22. 1/10
  23. 343
  24. 1/3125
  25. 1/5
  26. 1/4
  27. 49/25
  28. 6
  29. 100
  30. 34000
  31. 16
  32. 3
  33. 7/5
  34. 0.00031
  35. 0.47
  36. 125
  37. 1/243
  38. 1/27
  39. 1024
  40. 4000

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