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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 855 · 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 9,20,000 in standard form as 9.2 × 10ⁿ. What is n?
  2. 2.Write 9³ × 9⁸ as a single power 9ⁿ. What is n?
  3. 3.What is the value of 3⁷? =
  4. 4.Write 6⁴ × 6³ as a single power 6ⁿ. What is n?
  5. 5.Write 7 × 10⁻⁴ as a decimal. =
  6. 6.Write 93,000 in standard form as 9.3 × 10ⁿ. What is n?
  7. 7.Write 1.7 × 10⁻⁴ as a decimal. =
  8. 8.What is the value of (1/2)⁻²? =
  9. 9.What is the value of 4³? =
  10. 10.9.6 × 10⁵ =
  11. 11.What is the value of 2⁷? =
  12. 12.Write 5² × 5⁵ as a single power 5ⁿ. What is n?
  13. 13.What is the value of 2⁶ × 2⁻⁴? =
  14. 14.Write (5⁷)⁶ as a single power 5ⁿ. What is n?
  15. 15.Write 5.2 × 10⁻¹ as a decimal. =
  16. 16.What is the value of 5³ × 5⁻⁶? =
  17. 17.Write 3⁷ × 3³ as a single power 3ⁿ. What is n?
  18. 18.Write 8¹³ ÷ 8⁵ as a single power 8ⁿ. What is n?
  19. 19.What is the value of 9⁴? =
  20. 20.What is the value of 10¹ × 10⁻⁵? =
  21. 21.What is the value of 3⁻⁵ (as a fraction)? =
  22. 22.What is the value of 8²? =
  23. 23.Write 5.4 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of 10²? =
  25. 25.What is the value of 10³ × 10⁻⁵? =
  26. 26.What is the value of 3⁻¹ (as a fraction)? =
  27. 27.Write 2² × 2³ as a single power 2ⁿ. What is n?
  28. 28.What is the value of 2⁹? =
  29. 29.Write (4³)⁴ as a single power 4ⁿ. What is n?
  30. 30.Write 7.9 × 10⁻¹ as a decimal. =
  31. 31.What is the value of 2¹³? =
  32. 32.What is the value of 3² × 3⁻¹? =
  33. 33.3 × 10³ =
  34. 34.Write (9⁹)⁵ as a single power 9ⁿ. What is n?
  35. 35.What is the value of 8⁻¹ (as a fraction)? =
  36. 36.What is the value of 2³ × 2⁻¹? =
  37. 37.What is the value of 3⁵ × 3⁻²? =
  38. 38.4.4 × 10⁵ =
  39. 39.Write 5.1 × 10⁻⁴ as a decimal. =
  40. 40.Write 1.4 × 10⁻¹ as a decimal. =

Answer key

  1. 5
  2. 11
  3. 2187
  4. 7
  5. 0.0007
  6. 4
  7. 0.00017
  8. 4
  9. 64
  10. 960000
  11. 128
  12. 7
  13. 4
  14. 42
  15. 0.52
  16. 1/125
  17. 10
  18. 8
  19. 6561
  20. 1/10000
  21. 1/243
  22. 64
  23. 0.00054
  24. 100
  25. 1/100
  26. 1/3
  27. 5
  28. 512
  29. 12
  30. 0.79
  31. 8192
  32. 3
  33. 3000
  34. 45
  35. 1/8
  36. 4
  37. 27
  38. 440000
  39. 0.00051
  40. 0.14

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