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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 304 · 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 4,10,000 in standard form as 4.1 × 10ⁿ. What is n?
  2. 2.Write 2⁷ ÷ 2³ as a single power 2ⁿ. What is n?
  3. 3.What is the value of 10⁵ × 10⁻²? =
  4. 4.Write 3.3 × 10⁻³ as a decimal. =
  5. 5.Write 6,50,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  6. 6.What is the value of (7/8)⁻²? =
  7. 7.Write 9¹² ÷ 9⁷ as a single power 9ⁿ. What is n?
  8. 8.Write 2.8 × 10⁻² as a decimal. =
  9. 9.7.3 × 10³ =
  10. 10.Write 6⁸ × 6⁴ as a single power 6ⁿ. What is n?
  11. 11.4.5 × 10⁴ =
  12. 12.Write 5.9 × 10⁻³ as a decimal. =
  13. 13.What is the value of 2⁶ × 2⁻¹? =
  14. 14.What is the value of 3⁶ × 3⁻⁵? =
  15. 15.What is the value of 9⁴? =
  16. 16.5.3 × 10⁵ =
  17. 17.Write (2⁸)³ as a single power 2ⁿ. What is n?
  18. 18.What is the value of 5³ × 5⁻¹? =
  19. 19.What is the value of (3/5)⁻²? =
  20. 20.Write 3.6 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 2³ × 2⁻⁶? =
  22. 22.What is the value of 3³ × 3⁻³? =
  23. 23.Write 88,000 in standard form as 8.8 × 10ⁿ. What is n?
  24. 24.What is the value of 3³? =
  25. 25.What is the value of 2⁴ × 2⁻⁶? =
  26. 26.Write 9¹⁰ ÷ 9⁵ as a single power 9ⁿ. What is n?
  27. 27.Write 8.9 × 10⁻⁴ as a decimal. =
  28. 28.Write 2⁸ ÷ 2³ as a single power 2ⁿ. What is n?
  29. 29.Write 3⁴ × 3⁵ as a single power 3ⁿ. What is n?
  30. 30.What is the value of (2/5)⁻¹? =
  31. 31.What is the value of 3⁸? =
  32. 32.Write (7⁹)³ as a single power 7ⁿ. What is n?
  33. 33.Write 7.2 × 10⁻³ as a decimal. =
  34. 34.Write 6⁸ × 6⁸ as a single power 6ⁿ. What is n?
  35. 35.Write 6.1 × 10⁻³ as a decimal. =
  36. 36.What is the value of 10² × 10⁻¹? =
  37. 37.What is the value of 10¹ × 10⁻³? =
  38. 38.What is the value of (2/9)⁻¹? =
  39. 39.Write 2.2 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 4⁷? =

Answer key

  1. 5
  2. 4
  3. 1000
  4. 0.0033
  5. 7
  6. 64/49
  7. 5
  8. 0.028
  9. 7300
  10. 12
  11. 45000
  12. 0.0059
  13. 32
  14. 3
  15. 6561
  16. 530000
  17. 24
  18. 25
  19. 25/9
  20. 0.00036
  21. 1/8
  22. 1
  23. 4
  24. 27
  25. 1/4
  26. 5
  27. 0.00089
  28. 5
  29. 9
  30. 5/2
  31. 6561
  32. 27
  33. 0.0072
  34. 16
  35. 0.0061
  36. 10
  37. 1/100
  38. 9/2
  39. 0.22
  40. 16384

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