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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 177 · 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 6,10,000 in standard form as 6.1 × 10ⁿ. What is n?
  2. 2.Write 7² × 7⁸ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 10⁴ × 10⁻⁴? =
  4. 4.What is the value of 5⁴ × 5⁻¹? =
  5. 5.Write 2.3 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 2⁴? =
  7. 7.What is the value of 2⁹? =
  8. 8.What is the value of 2⁷? =
  9. 9.Write 2¹¹ ÷ 2⁵ as a single power 2ⁿ. What is n?
  10. 10.Write 9¹⁴ ÷ 9⁵ as a single power 9ⁿ. What is n?
  11. 11.Write 3 × 10⁻¹ as a decimal. =
  12. 12.Write 2.6 × 10⁻³ as a decimal. =
  13. 13.Write 7⁶ ÷ 7³ as a single power 7ⁿ. What is n?
  14. 14.Write 3.9 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 2¹¹? =
  16. 16.Write (2⁹)⁴ as a single power 2ⁿ. What is n?
  17. 17.Write 7.2 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of (1/4)⁻¹? =
  19. 19.What is the value of (2/9)⁻¹? =
  20. 20.What is the value of (2/5)⁻¹? =
  21. 21.Write 8⁴ ÷ 8² as a single power 8ⁿ. What is n?
  22. 22.Write 3,40,00,000 in standard form as 3.4 × 10ⁿ. What is n?
  23. 23.What is the value of (1/7)⁻²? =
  24. 24.What is the value of 3³? =
  25. 25.Write 2⁶ × 2⁵ as a single power 2ⁿ. What is n?
  26. 26.Write 6¹⁶ ÷ 6⁷ as a single power 6ⁿ. What is n?
  27. 27.Write 6² × 6⁷ as a single power 6ⁿ. What is n?
  28. 28.Write 7.5 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 3¹ × 3⁻¹? =
  30. 30.Write 3¹⁰ ÷ 3⁸ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 10⁴ × 10⁻¹? =
  32. 32.What is the value of 4³? =
  33. 33.Write 5¹⁸ ÷ 5⁹ as a single power 5ⁿ. What is n?
  34. 34.What is the value of 10⁶ × 10⁻⁶? =
  35. 35.What is the value of 8²? =
  36. 36.What is the value of 5²? =
  37. 37.1.4 × 10³ =
  38. 38.What is the value of 3¹ × 3⁻⁴? =
  39. 39.Write 2,40,000 in standard form as 2.4 × 10ⁿ. What is n?
  40. 40.What is the value of (1/9)⁻²? =

Answer key

  1. 5
  2. 10
  3. 1
  4. 125
  5. 0.00023
  6. 16
  7. 512
  8. 128
  9. 6
  10. 9
  11. 0.3
  12. 0.0026
  13. 3
  14. 0.39
  15. 2048
  16. 36
  17. 0.00072
  18. 4
  19. 9/2
  20. 5/2
  21. 2
  22. 7
  23. 49
  24. 27
  25. 11
  26. 9
  27. 9
  28. 0.75
  29. 1
  30. 2
  31. 1000
  32. 64
  33. 9
  34. 1
  35. 64
  36. 25
  37. 1400
  38. 1/27
  39. 5
  40. 81

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