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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 792 · 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 3⁴ × 3⁻⁵? =
  2. 2.Write 4.5 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 8²? =
  4. 4.2.5 × 10⁴ =
  5. 5.What is the value of 9³? =
  6. 6.What is the value of 3³ × 3⁻²? =
  7. 7.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  8. 8.Write 4.2 × 10⁻¹ as a decimal. =
  9. 9.5.8 × 10³ =
  10. 10.What is the value of (1/7)⁻²? =
  11. 11.What is the value of 3⁸? =
  12. 12.1.3 × 10³ =
  13. 13.What is the value of 2⁻⁷ (as a fraction)? =
  14. 14.What is the value of 3⁻⁶ (as a fraction)? =
  15. 15.2.4 × 10³ =
  16. 16.What is the value of 7²? =
  17. 17.Write 4.6 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of 2² × 2⁻⁵? =
  19. 19.What is the value of 9⁴? =
  20. 20.What is the value of 10³ × 10⁻⁵? =
  21. 21.Write 2.1 × 10⁻¹ as a decimal. =
  22. 22.Write 9.6 × 10⁻³ as a decimal. =
  23. 23.Write 34,000 in standard form as 3.4 × 10ⁿ. What is n?
  24. 24.What is the value of 2⁶ × 2⁻³? =
  25. 25.Write 6.2 × 10⁻⁴ as a decimal. =
  26. 26.Write 3⁴ × 3⁶ as a single power 3ⁿ. What is n?
  27. 27.Write 2.3 × 10⁻³ as a decimal. =
  28. 28.What is the value of 8⁻¹ (as a fraction)? =
  29. 29.1.8 × 10⁴ =
  30. 30.Write 9,90,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  31. 31.Write 8.3 × 10⁻¹ as a decimal. =
  32. 32.Write 960 in standard form as 9.6 × 10ⁿ. What is n?
  33. 33.What is the value of 10⁶ × 10⁻⁴? =
  34. 34.Write 1.9 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 10³? =
  36. 36.What is the value of 10² × 10⁻³? =
  37. 37.What is the value of 7⁵? =
  38. 38.Write 9.1 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 6³? =
  40. 40.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?

Answer key

  1. 1/3
  2. 0.45
  3. 64
  4. 25000
  5. 729
  6. 3
  7. 4
  8. 0.42
  9. 5800
  10. 49
  11. 6561
  12. 1300
  13. 1/128
  14. 1/729
  15. 2400
  16. 49
  17. 0.00046
  18. 1/8
  19. 6561
  20. 1/100
  21. 0.21
  22. 0.0096
  23. 4
  24. 8
  25. 0.00062
  26. 10
  27. 0.0023
  28. 1/8
  29. 18000
  30. 7
  31. 0.83
  32. 2
  33. 100
  34. 0.19
  35. 1000
  36. 1/10
  37. 16807
  38. 0.91
  39. 216
  40. 4

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