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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 224 · 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 5.5 × 10⁻⁴ as a decimal. =
  2. 2.Write 7.5 × 10⁻³ as a decimal. =
  3. 3.Write 9.3 × 10⁻² as a decimal. =
  4. 4.What is the value of (5/9)⁻¹? =
  5. 5.What is the value of 5² × 5⁻⁴? =
  6. 6.What is the value of 2⁴? =
  7. 7.What is the value of 10³ × 10⁻⁶? =
  8. 8.Write (5⁷)⁴ as a single power 5ⁿ. What is n?
  9. 9.Write 87,00,000 in standard form as 8.7 × 10ⁿ. What is n?
  10. 10.What is the value of 6⁶? =
  11. 11.What is the value of 3² × 3⁻⁴? =
  12. 12.Write 7.6 × 10⁻² as a decimal. =
  13. 13.Write 7.1 × 10⁻² as a decimal. =
  14. 14.Write 7⁹ × 7⁴ as a single power 7ⁿ. What is n?
  15. 15.What is the value of 6²? =
  16. 16.Write 5.5 × 10⁻¹ as a decimal. =
  17. 17.Write 5¹⁰ ÷ 5³ as a single power 5ⁿ. What is n?
  18. 18.Write 8.9 × 10⁻³ as a decimal. =
  19. 19.Write 6⁷ × 6³ as a single power 6ⁿ. What is n?
  20. 20.Write 5.9 × 10⁻² as a decimal. =
  21. 21.Write 9,60,000 in standard form as 9.6 × 10ⁿ. What is n?
  22. 22.What is the value of 10¹ × 10⁻²? =
  23. 23.Write 8.7 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of 4⁻⁴ (as a fraction)? =
  25. 25.4.8 × 10⁶ =
  26. 26.What is the value of 9³? =
  27. 27.Write (2⁵)⁷ as a single power 2ⁿ. What is n?
  28. 28.What is the value of (3/4)⁻²? =
  29. 29.Write 2⁴ × 2⁵ as a single power 2ⁿ. What is n?
  30. 30.Write 6,60,00,000 in standard form as 6.6 × 10ⁿ. What is n?
  31. 31.What is the value of (1/9)⁻²? =
  32. 32.What is the value of 8⁴? =
  33. 33.What is the value of 7⁴? =
  34. 34.Write 4.2 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 8³? =
  36. 36.Write 6⁵ × 6⁴ as a single power 6ⁿ. What is n?
  37. 37.7.6 × 10³ =
  38. 38.Write 8⁹ × 8⁴ as a single power 8ⁿ. What is n?
  39. 39.What is the value of 3³? =
  40. 40.Write 31,000 in standard form as 3.1 × 10ⁿ. What is n?

Answer key

  1. 0.00055
  2. 0.0075
  3. 0.093
  4. 9/5
  5. 1/25
  6. 16
  7. 1/1000
  8. 28
  9. 6
  10. 46656
  11. 1/9
  12. 0.076
  13. 0.071
  14. 13
  15. 36
  16. 0.55
  17. 7
  18. 0.0089
  19. 10
  20. 0.059
  21. 5
  22. 1/10
  23. 0.00087
  24. 1/256
  25. 4800000
  26. 729
  27. 35
  28. 16/9
  29. 9
  30. 7
  31. 81
  32. 4096
  33. 2401
  34. 0.00042
  35. 512
  36. 9
  37. 7600
  38. 13
  39. 27
  40. 4

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