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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 272 · 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 7.6 × 10⁻¹ as a decimal. =
  2. 2.Write 9.8 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 10²? =
  4. 4.Write 9⁸ ÷ 9⁶ as a single power 9ⁿ. What is n?
  5. 5.1.2 × 10⁶ =
  6. 6.What is the value of 10² × 10⁻⁴? =
  7. 7.Write 2.8 × 10⁻³ as a decimal. =
  8. 8.Write 9,00,00,000 in standard form as 9 × 10ⁿ. What is n?
  9. 9.What is the value of 2³? =
  10. 10.What is the value of 3⁶? =
  11. 11.What is the value of 5¹ × 5⁻³? =
  12. 12.Write 5,90,00,000 in standard form as 5.9 × 10ⁿ. What is n?
  13. 13.3.2 × 10⁵ =
  14. 14.What is the value of 3¹ × 3⁻³? =
  15. 15.What is the value of 3⁵ × 3⁻⁶? =
  16. 16.Write (8²)⁴ as a single power 8ⁿ. What is n?
  17. 17.What is the value of 7³? =
  18. 18.8.3 × 10² =
  19. 19.What is the value of 5⁻⁴ (as a fraction)? =
  20. 20.Write 9⁷ × 9⁸ as a single power 9ⁿ. What is n?
  21. 21.Write 7⁴ × 7⁹ as a single power 7ⁿ. What is n?
  22. 22.Write 9.1 × 10⁻² as a decimal. =
  23. 23.Write 3² × 3⁶ as a single power 3ⁿ. What is n?
  24. 24.What is the value of 2² × 2⁻⁵? =
  25. 25.What is the value of 2⁴? =
  26. 26.What is the value of 10³? =
  27. 27.4.6 × 10² =
  28. 28.What is the value of 8⁻¹ (as a fraction)? =
  29. 29.What is the value of 5²? =
  30. 30.9.1 × 10⁷ =
  31. 31.Write 7³ × 7⁵ as a single power 7ⁿ. What is n?
  32. 32.What is the value of 2¹⁶? =
  33. 33.Write 2.7 × 10⁻³ as a decimal. =
  34. 34.Write (6⁹)⁹ as a single power 6ⁿ. What is n?
  35. 35.Write 5⁵ × 5⁹ as a single power 5ⁿ. What is n?
  36. 36.What is the value of 3⁸? =
  37. 37.What is the value of 4⁵? =
  38. 38.Write 8.9 × 10⁻² as a decimal. =
  39. 39.What is the value of 8⁻² (as a fraction)? =
  40. 40.Write 8⁷ × 8³ as a single power 8ⁿ. What is n?

Answer key

  1. 0.76
  2. 0.00098
  3. 100
  4. 2
  5. 1200000
  6. 1/100
  7. 0.0028
  8. 7
  9. 8
  10. 729
  11. 1/25
  12. 7
  13. 320000
  14. 1/9
  15. 1/3
  16. 8
  17. 343
  18. 830
  19. 1/625
  20. 15
  21. 13
  22. 0.091
  23. 8
  24. 1/8
  25. 16
  26. 1000
  27. 460
  28. 1/8
  29. 25
  30. 91000000
  31. 8
  32. 65536
  33. 0.0027
  34. 81
  35. 14
  36. 6561
  37. 1024
  38. 0.089
  39. 1/64
  40. 10

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