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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 295 · 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 1,90,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  2. 2.Write 71,00,000 in standard form as 7.1 × 10ⁿ. What is n?
  3. 3.What is the value of 2² × 2⁻⁴? =
  4. 4.What is the value of 2⁹? =
  5. 5.Write 3.6 × 10⁻¹ as a decimal. =
  6. 6.Write 3² × 3⁷ as a single power 3ⁿ. What is n?
  7. 7.Write 8¹² ÷ 8⁷ as a single power 8ⁿ. What is n?
  8. 8.What is the value of 3² × 3⁻¹? =
  9. 9.What is the value of 6⁻¹ (as a fraction)? =
  10. 10.What is the value of 3⁵ × 3⁻⁵? =
  11. 11.Write 6² × 6⁶ as a single power 6ⁿ. What is n?
  12. 12.8.1 × 10⁶ =
  13. 13.Write 5.4 × 10⁻¹ as a decimal. =
  14. 14.Write 9⁸ × 9² as a single power 9ⁿ. What is n?
  15. 15.What is the value of 9⁴? =
  16. 16.Write 2,80,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  17. 17.Write 3⁵ × 3⁵ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 2² × 2⁻⁵? =
  19. 19.Write (2⁴)⁸ as a single power 2ⁿ. What is n?
  20. 20.Write 5.3 × 10⁻³ as a decimal. =
  21. 21.Write (5⁸)⁵ as a single power 5ⁿ. What is n?
  22. 22.7.1 × 10³ =
  23. 23.Write 5⁵ ÷ 5² as a single power 5ⁿ. What is n?
  24. 24.Write 3³ × 3⁶ as a single power 3ⁿ. What is n?
  25. 25.What is the value of 7²? =
  26. 26.What is the value of 9⁻³ (as a fraction)? =
  27. 27.3.3 × 10² =
  28. 28.What is the value of 3⁴ × 3⁻⁶? =
  29. 29.What is the value of (2/9)⁻²? =
  30. 30.Write 2¹¹ ÷ 2⁶ as a single power 2ⁿ. What is n?
  31. 31.2.3 × 10⁷ =
  32. 32.What is the value of 4⁸? =
  33. 33.Write 8.6 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 7⁻² (as a fraction)? =
  35. 35.Write 2.4 × 10⁻³ as a decimal. =
  36. 36.What is the value of (1/4)⁻¹? =
  37. 37.Write 4.5 × 10⁻⁴ as a decimal. =
  38. 38.3.3 × 10⁶ =
  39. 39.Write 4⁵ × 4⁹ as a single power 4ⁿ. What is n?
  40. 40.Write 280 in standard form as 2.8 × 10ⁿ. What is n?

Answer key

  1. 7
  2. 6
  3. 1/4
  4. 512
  5. 0.36
  6. 9
  7. 5
  8. 3
  9. 1/6
  10. 1
  11. 8
  12. 8100000
  13. 0.54
  14. 10
  15. 6561
  16. 7
  17. 10
  18. 1/8
  19. 32
  20. 0.0053
  21. 40
  22. 7100
  23. 3
  24. 9
  25. 49
  26. 1/729
  27. 330
  28. 1/9
  29. 81/4
  30. 5
  31. 23000000
  32. 65536
  33. 0.86
  34. 1/49
  35. 0.0024
  36. 4
  37. 0.00045
  38. 3300000
  39. 14
  40. 2

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