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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 950 · 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.Write 590 in standard form as 5.9 × 10ⁿ. What is n?
  2. 2.Write 6³ × 6⁵ as a single power 6ⁿ. What is n?
  3. 3.Write (5⁸)⁵ as a single power 5ⁿ. What is n?
  4. 4.Write (4⁵)⁵ as a single power 4ⁿ. What is n?
  5. 5.6 × 10⁴ =
  6. 6.What is the value of 2² × 2⁻¹? =
  7. 7.9.3 × 10⁴ =
  8. 8.What is the value of (3/5)⁻²? =
  9. 9.Write 2,000 in standard form as 2 × 10ⁿ. What is n?
  10. 10.Write 770 in standard form as 7.7 × 10ⁿ. What is n?
  11. 11.Write 2.2 × 10⁻³ as a decimal. =
  12. 12.What is the value of 8³? =
  13. 13.What is the value of 10⁵ × 10⁻⁶? =
  14. 14.What is the value of 3³ × 3⁻¹? =
  15. 15.What is the value of 5⁴? =
  16. 16.What is the value of 3²? =
  17. 17.Write 3.2 × 10⁻¹ as a decimal. =
  18. 18.Write (5³)⁹ as a single power 5ⁿ. What is n?
  19. 19.1.1 × 10³ =
  20. 20.Write 2.8 × 10⁻² as a decimal. =
  21. 21.What is the value of 3⁻⁶ (as a fraction)? =
  22. 22.Write 2⁵ × 2⁸ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 2¹⁵? =
  24. 24.What is the value of 3² × 3⁻⁴? =
  25. 25.What is the value of 3¹ × 3⁻⁶? =
  26. 26.What is the value of (3/5)⁻¹? =
  27. 27.What is the value of 5²? =
  28. 28.What is the value of 2¹ × 2⁻³? =
  29. 29.Write 2.3 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 10⁵? =
  31. 31.What is the value of 8⁵? =
  32. 32.What is the value of 2²? =
  33. 33.What is the value of 5⁶ × 5⁻⁴? =
  34. 34.What is the value of 2⁸? =
  35. 35.Write 6.4 × 10⁻¹ as a decimal. =
  36. 36.Write 4.4 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 3⁷? =
  38. 38.What is the value of (3/4)⁻¹? =
  39. 39.What is the value of (2/7)⁻²? =
  40. 40.What is the value of 2⁶ × 2⁻⁵? =

Answer key

  1. 2
  2. 8
  3. 40
  4. 25
  5. 60000
  6. 2
  7. 93000
  8. 25/9
  9. 3
  10. 2
  11. 0.0022
  12. 512
  13. 1/10
  14. 9
  15. 625
  16. 9
  17. 0.32
  18. 27
  19. 1100
  20. 0.028
  21. 1/729
  22. 13
  23. 32768
  24. 1/9
  25. 1/243
  26. 5/3
  27. 25
  28. 1/4
  29. 0.23
  30. 100000
  31. 32768
  32. 4
  33. 25
  34. 256
  35. 0.64
  36. 0.00044
  37. 2187
  38. 4/3
  39. 49/4
  40. 2

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