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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 82 · 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 9²? =
  2. 2.1.1 × 10⁶ =
  3. 3.What is the value of 2¹⁰? =
  4. 4.Write 8.4 × 10⁻³ as a decimal. =
  5. 5.Write 2² × 2⁸ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 5¹ × 5⁻³? =
  7. 7.Write 6¹⁴ ÷ 6⁷ as a single power 6ⁿ. What is n?
  8. 8.Write 5.2 × 10⁻² as a decimal. =
  9. 9.Write 2⁷ × 2⁸ as a single power 2ⁿ. What is n?
  10. 10.What is the value of 3⁵? =
  11. 11.Write 2.7 × 10⁻² as a decimal. =
  12. 12.What is the value of 8⁵? =
  13. 13.What is the value of 5⁷? =
  14. 14.What is the value of 9⁻¹ (as a fraction)? =
  15. 15.4.5 × 10⁵ =
  16. 16.Write 4¹¹ ÷ 4⁴ as a single power 4ⁿ. What is n?
  17. 17.Write 5⁶ ÷ 5³ as a single power 5ⁿ. What is n?
  18. 18.Write 790 in standard form as 7.9 × 10ⁿ. What is n?
  19. 19.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?
  20. 20.What is the value of 10²? =
  21. 21.Write 3⁷ × 3⁴ as a single power 3ⁿ. What is n?
  22. 22.Write 2.1 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 3¹ × 3⁻⁵? =
  24. 24.What is the value of 10³ × 10⁻¹? =
  25. 25.What is the value of 3⁻³ (as a fraction)? =
  26. 26.Write 79,00,000 in standard form as 7.9 × 10ⁿ. What is n?
  27. 27.What is the value of 2⁻⁷ (as a fraction)? =
  28. 28.9.1 × 10⁵ =
  29. 29.Write 5⁴ ÷ 5² as a single power 5ⁿ. What is n?
  30. 30.What is the value of (1/4)⁻¹? =
  31. 31.8.2 × 10⁴ =
  32. 32.What is the value of 2¹ × 2⁻⁶? =
  33. 33.Write 5.2 × 10⁻³ as a decimal. =
  34. 34.Write 6⁵ ÷ 6³ as a single power 6ⁿ. What is n?
  35. 35.Write 6,000 in standard form as 6 × 10ⁿ. What is n?
  36. 36.Write 8.3 × 10⁻³ as a decimal. =
  37. 37.6.4 × 10² =
  38. 38.What is the value of 2⁹? =
  39. 39.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?
  40. 40.Write 3.5 × 10⁻³ as a decimal. =

Answer key

  1. 81
  2. 1100000
  3. 1024
  4. 0.0084
  5. 10
  6. 1/25
  7. 7
  8. 0.052
  9. 15
  10. 243
  11. 0.027
  12. 32768
  13. 78125
  14. 1/9
  15. 450000
  16. 7
  17. 3
  18. 2
  19. 4
  20. 100
  21. 11
  22. 0.21
  23. 1/81
  24. 100
  25. 1/27
  26. 6
  27. 1/128
  28. 910000
  29. 2
  30. 4
  31. 82000
  32. 1/32
  33. 0.0052
  34. 2
  35. 3
  36. 0.0083
  37. 640
  38. 512
  39. 3
  40. 0.0035

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