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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 895 · 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 7³? =
  2. 2.What is the value of 10⁴ × 10⁻³? =
  3. 3.What is the value of (5/9)⁻¹? =
  4. 4.Write 4.9 × 10⁻³ as a decimal. =
  5. 5.Write 1.6 × 10⁻³ as a decimal. =
  6. 6.Write 1.8 × 10⁻³ as a decimal. =
  7. 7.What is the value of 3² × 3⁻⁵? =
  8. 8.What is the value of 3⁶ × 3⁻⁶? =
  9. 9.What is the value of 7⁻³ (as a fraction)? =
  10. 10.What is the value of 6⁶? =
  11. 11.What is the value of 2¹²? =
  12. 12.What is the value of 6²? =
  13. 13.What is the value of (1/8)⁻¹? =
  14. 14.What is the value of 3⁵ × 3⁻⁴? =
  15. 15.What is the value of 2⁸? =
  16. 16.What is the value of 10⁴ × 10⁻⁶? =
  17. 17.6 × 10⁷ =
  18. 18.What is the value of 3⁹? =
  19. 19.Write 3³ × 3³ as a single power 3ⁿ. What is n?
  20. 20.What is the value of 3¹ × 3⁻¹? =
  21. 21.What is the value of 2¹⁰? =
  22. 22.Write 4.1 × 10⁻³ as a decimal. =
  23. 23.What is the value of 3⁶ × 3⁻⁵? =
  24. 24.Write 3¹² ÷ 3⁶ as a single power 3ⁿ. What is n?
  25. 25.What is the value of (1/8)⁻²? =
  26. 26.What is the value of 5⁵ × 5⁻²? =
  27. 27.What is the value of 5² × 5⁻⁴? =
  28. 28.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  29. 29.Write 8.4 × 10⁻⁴ as a decimal. =
  30. 30.Write 6⁴ × 6³ as a single power 6ⁿ. What is n?
  31. 31.Write 9.8 × 10⁻² as a decimal. =
  32. 32.What is the value of 10⁵ × 10⁻²? =
  33. 33.Write 9.7 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 3¹ × 3⁻²? =
  35. 35.What is the value of 3⁵ × 3⁻⁶? =
  36. 36.6.4 × 10⁴ =
  37. 37.What is the value of 3⁵ × 3⁻³? =
  38. 38.Write 7.5 × 10⁻² as a decimal. =
  39. 39.What is the value of 10² × 10⁻⁴? =
  40. 40.What is the value of 2⁻² (as a fraction)? =

Answer key

  1. 343
  2. 10
  3. 9/5
  4. 0.0049
  5. 0.0016
  6. 0.0018
  7. 1/27
  8. 1
  9. 1/343
  10. 46656
  11. 4096
  12. 36
  13. 8
  14. 3
  15. 256
  16. 1/100
  17. 60000000
  18. 19683
  19. 6
  20. 1
  21. 1024
  22. 0.0041
  23. 3
  24. 6
  25. 64
  26. 125
  27. 1/25
  28. 9
  29. 0.00084
  30. 7
  31. 0.098
  32. 1000
  33. 0.97
  34. 1/3
  35. 1/3
  36. 64000
  37. 9
  38. 0.075
  39. 1/100
  40. 1/4

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