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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 233 · 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 10³? =
  2. 2.Write (9²)² as a single power 9ⁿ. What is n?
  3. 3.7.2 × 10² =
  4. 4.Write 9.8 × 10⁻¹ as a decimal. =
  5. 5.Write 4.7 × 10⁻² as a decimal. =
  6. 6.Write (9³)² as a single power 9ⁿ. What is n?
  7. 7.6.6 × 10⁶ =
  8. 8.Write 9.5 × 10⁻³ as a decimal. =
  9. 9.Write 44,00,000 in standard form as 4.4 × 10ⁿ. What is n?
  10. 10.What is the value of 8⁻¹ (as a fraction)? =
  11. 11.Write 6.3 × 10⁻³ as a decimal. =
  12. 12.Write 4⁷ ÷ 4³ as a single power 4ⁿ. What is n?
  13. 13.Write 2.4 × 10⁻¹ as a decimal. =
  14. 14.Write 7⁹ × 7⁹ as a single power 7ⁿ. What is n?
  15. 15.What is the value of 9²? =
  16. 16.Write 5.9 × 10⁻³ as a decimal. =
  17. 17.Write 6 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of 3⁴ × 3⁻⁶? =
  19. 19.What is the value of 2³ × 2⁻²? =
  20. 20.Write 3.1 × 10⁻² as a decimal. =
  21. 21.Write 2⁹ × 2³ as a single power 2ⁿ. What is n?
  22. 22.4.7 × 10⁶ =
  23. 23.1.7 × 10⁵ =
  24. 24.Write (3⁵)⁷ as a single power 3ⁿ. What is n?
  25. 25.Write 2,40,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  26. 26.9.2 × 10³ =
  27. 27.What is the value of 10⁵ × 10⁻¹? =
  28. 28.2.3 × 10⁴ =
  29. 29.What is the value of 3² × 3⁻⁶? =
  30. 30.What is the value of 5¹ × 5⁻²? =
  31. 31.Write 8⁵ × 8⁵ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 4⁸? =
  33. 33.4 × 10⁴ =
  34. 34.Write 3⁵ × 3⁶ as a single power 3ⁿ. What is n?
  35. 35.Write 3¹¹ ÷ 3³ as a single power 3ⁿ. What is n?
  36. 36.Write 6² × 6³ as a single power 6ⁿ. What is n?
  37. 37.2.1 × 10⁴ =
  38. 38.Write 3² × 3⁴ as a single power 3ⁿ. What is n?
  39. 39.What is the value of 4⁷? =
  40. 40.What is the value of (1/9)⁻²? =

Answer key

  1. 1000
  2. 4
  3. 720
  4. 0.98
  5. 0.047
  6. 6
  7. 6600000
  8. 0.0095
  9. 6
  10. 1/8
  11. 0.0063
  12. 4
  13. 0.24
  14. 18
  15. 81
  16. 0.0059
  17. 0.0006
  18. 1/9
  19. 2
  20. 0.031
  21. 12
  22. 4700000
  23. 170000
  24. 35
  25. 7
  26. 9200
  27. 10000
  28. 23000
  29. 1/81
  30. 1/5
  31. 10
  32. 65536
  33. 40000
  34. 11
  35. 8
  36. 5
  37. 21000
  38. 6
  39. 16384
  40. 81

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