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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 466 · 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 7⁻³ (as a fraction)? =
  2. 2.What is the value of 3³ × 3⁻⁴? =
  3. 3.What is the value of 5⁵ × 5⁻⁴? =
  4. 4.What is the value of 8⁵? =
  5. 5.What is the value of 9⁴? =
  6. 6.Write 7¹¹ ÷ 7⁴ as a single power 7ⁿ. What is n?
  7. 7.What is the value of 5³? =
  8. 8.What is the value of 2⁵? =
  9. 9.Write 1.4 × 10⁻³ as a decimal. =
  10. 10.What is the value of 2⁶ × 2⁻⁶? =
  11. 11.Write 7¹¹ ÷ 7⁹ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 5⁵? =
  13. 13.What is the value of 3⁶ × 3⁻¹? =
  14. 14.What is the value of 3⁴ × 3⁻³? =
  15. 15.What is the value of (2/7)⁻²? =
  16. 16.4.9 × 10⁴ =
  17. 17.What is the value of (3/7)⁻¹? =
  18. 18.What is the value of (5/9)⁻¹? =
  19. 19.What is the value of 2⁻² (as a fraction)? =
  20. 20.Write 2.6 × 10⁻¹ as a decimal. =
  21. 21.1.5 × 10³ =
  22. 22.Write (7³)⁶ as a single power 7ⁿ. What is n?
  23. 23.What is the value of 3⁵ × 3⁻⁵? =
  24. 24.6.9 × 10⁷ =
  25. 25.What is the value of 2⁶? =
  26. 26.7.9 × 10⁵ =
  27. 27.Write (6⁸)⁸ as a single power 6ⁿ. What is n?
  28. 28.Write 4⁷ ÷ 4⁴ as a single power 4ⁿ. What is n?
  29. 29.What is the value of 5⁴ × 5⁻¹? =
  30. 30.Write 230 in standard form as 2.3 × 10ⁿ. What is n?
  31. 31.What is the value of (1/4)⁻²? =
  32. 32.Write 5.9 × 10⁻⁴ as a decimal. =
  33. 33.Write 3.4 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 2⁻⁸ (as a fraction)? =
  35. 35.What is the value of 2⁶ × 2⁻²? =
  36. 36.Write (4⁴)⁷ as a single power 4ⁿ. What is n?
  37. 37.Write 7⁹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  38. 38.Write 4⁹ × 4⁹ as a single power 4ⁿ. What is n?
  39. 39.What is the value of 5¹ × 5⁻⁶? =
  40. 40.Write 1.6 × 10⁻⁴ as a decimal. =

Answer key

  1. 1/343
  2. 1/3
  3. 5
  4. 32768
  5. 6561
  6. 7
  7. 125
  8. 32
  9. 0.0014
  10. 1
  11. 2
  12. 3125
  13. 243
  14. 3
  15. 49/4
  16. 49000
  17. 7/3
  18. 9/5
  19. 1/4
  20. 0.26
  21. 1500
  22. 18
  23. 1
  24. 69000000
  25. 64
  26. 790000
  27. 64
  28. 3
  29. 125
  30. 2
  31. 16
  32. 0.00059
  33. 0.34
  34. 1/256
  35. 16
  36. 28
  37. 3
  38. 18
  39. 1/3125
  40. 0.00016

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