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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 655 · 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 5,40,000 in standard form as 5.4 × 10ⁿ. What is n?
  2. 2.What is the value of (3/5)⁻¹? =
  3. 3.What is the value of 2⁴ × 2⁻¹? =
  4. 4.Write 9.2 × 10⁻² as a decimal. =
  5. 5.Write 6¹¹ ÷ 6⁵ as a single power 6ⁿ. What is n?
  6. 6.1.6 × 10² =
  7. 7.What is the value of 8⁴? =
  8. 8.Write 3⁵ ÷ 3³ as a single power 3ⁿ. What is n?
  9. 9.Write 7.9 × 10⁻³ as a decimal. =
  10. 10.Write 88,000 in standard form as 8.8 × 10ⁿ. What is n?
  11. 11.2.2 × 10⁴ =
  12. 12.What is the value of 10³ × 10⁻⁶? =
  13. 13.What is the value of (1/4)⁻¹? =
  14. 14.What is the value of 2²? =
  15. 15.What is the value of 10⁵? =
  16. 16.9.9 × 10⁴ =
  17. 17.What is the value of 3⁶ × 3⁻⁴? =
  18. 18.5.3 × 10² =
  19. 19.What is the value of (4/5)⁻²? =
  20. 20.7.7 × 10⁶ =
  21. 21.What is the value of 8²? =
  22. 22.What is the value of 8⁵? =
  23. 23.What is the value of 10¹ × 10⁻⁴? =
  24. 24.7.8 × 10⁷ =
  25. 25.Write 5.7 × 10⁻¹ as a decimal. =
  26. 26.Write 5⁸ × 5³ as a single power 5ⁿ. What is n?
  27. 27.What is the value of (4/7)⁻²? =
  28. 28.What is the value of 2³ × 2⁻⁴? =
  29. 29.What is the value of 7²? =
  30. 30.Write 3⁹ × 3² as a single power 3ⁿ. What is n?
  31. 31.What is the value of 2⁻³ (as a fraction)? =
  32. 32.Write 6⁴ × 6⁷ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 4²? =
  34. 34.What is the value of 9⁻¹ (as a fraction)? =
  35. 35.What is the value of 2⁵ × 2⁻³? =
  36. 36.What is the value of 5² × 5⁻³? =
  37. 37.Write 400 in standard form as 4 × 10ⁿ. What is n?
  38. 38.Write 3,50,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  39. 39.What is the value of 3⁷? =
  40. 40.Write 2.3 × 10⁻⁴ as a decimal. =

Answer key

  1. 5
  2. 5/3
  3. 8
  4. 0.092
  5. 6
  6. 160
  7. 4096
  8. 2
  9. 0.0079
  10. 4
  11. 22000
  12. 1/1000
  13. 4
  14. 4
  15. 100000
  16. 99000
  17. 9
  18. 530
  19. 25/16
  20. 7700000
  21. 64
  22. 32768
  23. 1/1000
  24. 78000000
  25. 0.57
  26. 11
  27. 49/16
  28. 1/2
  29. 49
  30. 11
  31. 1/8
  32. 11
  33. 16
  34. 1/9
  35. 4
  36. 1/5
  37. 2
  38. 7
  39. 2187
  40. 0.00023

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