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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 467 · 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 5,40,00,000 in standard form as 5.4 × 10ⁿ. What is n?
  2. 2.What is the value of 7⁻³ (as a fraction)? =
  3. 3.Write 5.4 × 10⁻¹ as a decimal. =
  4. 4.Write 9.3 × 10⁻² as a decimal. =
  5. 5.Write 5 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of (7/9)⁻¹? =
  7. 7.What is the value of 5⁵? =
  8. 8.Write 6³ × 6⁶ as a single power 6ⁿ. What is n?
  9. 9.Write 2.8 × 10⁻² as a decimal. =
  10. 10.Write 5¹² ÷ 5⁴ as a single power 5ⁿ. What is n?
  11. 11.What is the value of 3⁶? =
  12. 12.Write 8.8 × 10⁻¹ as a decimal. =
  13. 13.Write 5.1 × 10⁻¹ as a decimal. =
  14. 14.Write (4²)⁴ as a single power 4ⁿ. What is n?
  15. 15.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
  16. 16.Write 6,00,00,000 in standard form as 6 × 10ⁿ. What is n?
  17. 17.Write 2,70,000 in standard form as 2.7 × 10ⁿ. What is n?
  18. 18.What is the value of 2² × 2⁻⁵? =
  19. 19.What is the value of 4³? =
  20. 20.Write (7²)⁶ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 3⁷? =
  22. 22.What is the value of 2¹⁶? =
  23. 23.Write 1,80,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  24. 24.What is the value of 4⁷? =
  25. 25.Write 4,10,000 in standard form as 4.1 × 10ⁿ. What is n?
  26. 26.Write 83,000 in standard form as 8.3 × 10ⁿ. What is n?
  27. 27.What is the value of 2² × 2⁻⁶? =
  28. 28.9.1 × 10⁵ =
  29. 29.Write 2.6 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 3⁵? =
  31. 31.What is the value of (2/7)⁻¹? =
  32. 32.Write 8¹¹ ÷ 8⁷ as a single power 8ⁿ. What is n?
  33. 33.Write 8⁴ ÷ 8² as a single power 8ⁿ. What is n?
  34. 34.What is the value of 5² × 5⁻¹? =
  35. 35.Write 3⁸ ÷ 3⁴ as a single power 3ⁿ. What is n?
  36. 36.Write 7⁹ × 7² as a single power 7ⁿ. What is n?
  37. 37.Write 4¹⁰ ÷ 4² as a single power 4ⁿ. What is n?
  38. 38.Write 4² × 4² as a single power 4ⁿ. What is n?
  39. 39.What is the value of 2⁹? =
  40. 40.What is the value of 5⁻³ (as a fraction)? =

Answer key

  1. 7
  2. 1/343
  3. 0.54
  4. 0.093
  5. 0.0005
  6. 9/7
  7. 3125
  8. 9
  9. 0.028
  10. 8
  11. 729
  12. 0.88
  13. 0.51
  14. 8
  15. 6
  16. 7
  17. 5
  18. 1/8
  19. 64
  20. 12
  21. 2187
  22. 65536
  23. 7
  24. 16384
  25. 5
  26. 4
  27. 1/16
  28. 910000
  29. 0.26
  30. 243
  31. 7/2
  32. 4
  33. 2
  34. 5
  35. 4
  36. 11
  37. 8
  38. 4
  39. 512
  40. 1/125

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