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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 273 · 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. 1.8.1 × 10⁷ =
  2. 2.1.9 × 10⁵ =
  3. 3.What is the value of 2⁻³ (as a fraction)? =
  4. 4.Write 6¹⁰ ÷ 6² as a single power 6ⁿ. What is n?
  5. 5.Write 3¹⁰ ÷ 3⁵ as a single power 3ⁿ. What is n?
  6. 6.1.8 × 10² =
  7. 7.2.6 × 10⁴ =
  8. 8.What is the value of (1/3)⁻²? =
  9. 9.Write 4.5 × 10⁻² as a decimal. =
  10. 10.What is the value of (4/5)⁻²? =
  11. 11.What is the value of (1/2)⁻¹? =
  12. 12.Write 9.6 × 10⁻² as a decimal. =
  13. 13.What is the value of 2⁸? =
  14. 14.What is the value of 2⁻² (as a fraction)? =
  15. 15.Write 6¹⁴ ÷ 6⁵ as a single power 6ⁿ. What is n?
  16. 16.What is the value of (1/6)⁻²? =
  17. 17.Write 3.9 × 10⁻² as a decimal. =
  18. 18.What is the value of 5⁶ × 5⁻⁵? =
  19. 19.Write (8²)⁸ as a single power 8ⁿ. What is n?
  20. 20.Write 3.5 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 3⁻⁵ (as a fraction)? =
  22. 22.6.4 × 10⁵ =
  23. 23.What is the value of 9⁻² (as a fraction)? =
  24. 24.6.8 × 10⁵ =
  25. 25.What is the value of 7⁻³ (as a fraction)? =
  26. 26.Write (9²)⁸ as a single power 9ⁿ. What is n?
  27. 27.What is the value of 9⁴? =
  28. 28.What is the value of 2⁴? =
  29. 29.Write 2.8 × 10⁻⁴ as a decimal. =
  30. 30.Write 900 in standard form as 9 × 10ⁿ. What is n?
  31. 31.What is the value of 2⁵ × 2⁻³? =
  32. 32.Write 3⁷ × 3³ as a single power 3ⁿ. What is n?
  33. 33.What is the value of 2⁵? =
  34. 34.What is the value of 4³? =
  35. 35.What is the value of 5⁷? =
  36. 36.Write 9.4 × 10⁻¹ as a decimal. =
  37. 37.Write (3⁴)⁴ as a single power 3ⁿ. What is n?
  38. 38.Write 2⁹ × 2⁴ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 3⁴ × 3⁻⁵? =
  40. 40.7.7 × 10⁵ =

Answer key

  1. 81000000
  2. 190000
  3. 1/8
  4. 8
  5. 5
  6. 180
  7. 26000
  8. 9
  9. 0.045
  10. 25/16
  11. 2
  12. 0.096
  13. 256
  14. 1/4
  15. 9
  16. 36
  17. 0.039
  18. 5
  19. 16
  20. 0.00035
  21. 1/243
  22. 640000
  23. 1/81
  24. 680000
  25. 1/343
  26. 16
  27. 6561
  28. 16
  29. 0.00028
  30. 2
  31. 4
  32. 10
  33. 32
  34. 64
  35. 78125
  36. 0.94
  37. 16
  38. 13
  39. 1/3
  40. 770000

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