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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 450 · 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 8⁴ × 8⁹ as a single power 8ⁿ. What is n?
  2. 2.Write 5.8 × 10⁻⁴ as a decimal. =
  3. 3.2 × 10² =
  4. 4.What is the value of 10⁵ × 10⁻¹? =
  5. 5.What is the value of 2¹⁰? =
  6. 6.Write 4.9 × 10⁻³ as a decimal. =
  7. 7.Write (4⁸)⁴ as a single power 4ⁿ. What is n?
  8. 8.What is the value of 2⁴? =
  9. 9.Write 1.2 × 10⁻³ as a decimal. =
  10. 10.What is the value of 4⁶? =
  11. 11.Write 6⁸ × 6⁷ as a single power 6ⁿ. What is n?
  12. 12.What is the value of 7⁻² (as a fraction)? =
  13. 13.What is the value of 5³ × 5⁻⁶? =
  14. 14.What is the value of 2⁻² (as a fraction)? =
  15. 15.Write 1.1 × 10⁻² as a decimal. =
  16. 16.What is the value of 3⁷? =
  17. 17.Write 4³ × 4⁶ as a single power 4ⁿ. What is n?
  18. 18.What is the value of 3⁵ × 3⁻¹? =
  19. 19.4.8 × 10⁵ =
  20. 20.6.3 × 10² =
  21. 21.Write 9¹⁰ ÷ 9³ as a single power 9ⁿ. What is n?
  22. 22.Write 7⁹ ÷ 7³ as a single power 7ⁿ. What is n?
  23. 23.What is the value of 5¹ × 5⁻³? =
  24. 24.Write 4.4 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 9⁻² (as a fraction)? =
  26. 26.What is the value of 6⁻² (as a fraction)? =
  27. 27.Write (8⁶)⁶ as a single power 8ⁿ. What is n?
  28. 28.Write 3.9 × 10⁻¹ as a decimal. =
  29. 29.Write 4⁴ × 4⁷ as a single power 4ⁿ. What is n?
  30. 30.Write 2² × 2⁹ as a single power 2ⁿ. What is n?
  31. 31.Write 6,40,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  32. 32.Write (8⁵)² as a single power 8ⁿ. What is n?
  33. 33.What is the value of 2⁻⁴ (as a fraction)? =
  34. 34.What is the value of 7⁴? =
  35. 35.What is the value of 5¹ × 5⁻¹? =
  36. 36.6.8 × 10³ =
  37. 37.What is the value of 10³? =
  38. 38.Write 3.1 × 10⁻² as a decimal. =
  39. 39.What is the value of 10² × 10⁻¹? =
  40. 40.What is the value of 2⁻¹ (as a fraction)? =

Answer key

  1. 13
  2. 0.00058
  3. 200
  4. 10000
  5. 1024
  6. 0.0049
  7. 32
  8. 16
  9. 0.0012
  10. 4096
  11. 15
  12. 1/49
  13. 1/125
  14. 1/4
  15. 0.011
  16. 2187
  17. 9
  18. 81
  19. 480000
  20. 630
  21. 7
  22. 6
  23. 1/25
  24. 0.44
  25. 1/81
  26. 1/36
  27. 36
  28. 0.39
  29. 11
  30. 11
  31. 7
  32. 10
  33. 1/16
  34. 2401
  35. 1
  36. 6800
  37. 1000
  38. 0.031
  39. 10
  40. 1/2

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