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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 338 · 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 5⁴ × 5⁵ as a single power 5ⁿ. What is n?
  2. 2.Write 2⁷ × 2³ as a single power 2ⁿ. What is n?
  3. 3.Write 4,50,000 in standard form as 4.5 × 10ⁿ. What is n?
  4. 4.What is the value of 2³ × 2⁻⁵? =
  5. 5.Write 2.1 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 3⁷? =
  7. 7.Write 4,400 in standard form as 4.4 × 10ⁿ. What is n?
  8. 8.What is the value of 2² × 2⁻⁶? =
  9. 9.7.8 × 10⁷ =
  10. 10.What is the value of 3⁴ × 3⁻²? =
  11. 11.What is the value of 2¹⁶? =
  12. 12.What is the value of (1/7)⁻²? =
  13. 13.Write 5³ × 5² as a single power 5ⁿ. What is n?
  14. 14.What is the value of (3/7)⁻¹? =
  15. 15.1.9 × 10⁷ =
  16. 16.What is the value of 8²? =
  17. 17.Write 3⁸ ÷ 3⁴ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 9³? =
  19. 19.Write 7.9 × 10⁻² as a decimal. =
  20. 20.What is the value of 5² × 5⁻⁵? =
  21. 21.Write 4,20,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  22. 22.What is the value of 6³? =
  23. 23.1.8 × 10³ =
  24. 24.Write 8⁵ × 8³ as a single power 8ⁿ. What is n?
  25. 25.Write 8.7 × 10⁻² as a decimal. =
  26. 26.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  27. 27.2 × 10⁷ =
  28. 28.What is the value of (3/5)⁻²? =
  29. 29.8.2 × 10⁶ =
  30. 30.What is the value of 3³? =
  31. 31.What is the value of (4/9)⁻¹? =
  32. 32.Write (6⁴)⁴ as a single power 6ⁿ. What is n?
  33. 33.Write 5² × 5⁴ as a single power 5ⁿ. What is n?
  34. 34.Write 21,00,000 in standard form as 2.1 × 10ⁿ. What is n?
  35. 35.Write 6,700 in standard form as 6.7 × 10ⁿ. What is n?
  36. 36.What is the value of 10⁶ × 10⁻⁵? =
  37. 37.What is the value of (5/7)⁻¹? =
  38. 38.Write (6⁵)³ as a single power 6ⁿ. What is n?
  39. 39.Write 55,000 in standard form as 5.5 × 10ⁿ. What is n?
  40. 40.Write 3⁸ × 3⁶ as a single power 3ⁿ. What is n?

Answer key

  1. 9
  2. 10
  3. 5
  4. 1/4
  5. 0.00021
  6. 2187
  7. 3
  8. 1/16
  9. 78000000
  10. 9
  11. 65536
  12. 49
  13. 5
  14. 7/3
  15. 19000000
  16. 64
  17. 4
  18. 729
  19. 0.079
  20. 1/125
  21. 7
  22. 216
  23. 1800
  24. 8
  25. 0.087
  26. 3
  27. 20000000
  28. 25/9
  29. 8200000
  30. 27
  31. 9/4
  32. 16
  33. 6
  34. 6
  35. 3
  36. 10
  37. 7/5
  38. 15
  39. 4
  40. 14

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