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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 174 · 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.What is the value of 10⁻¹ (as a fraction)? =
  2. 2.Write 7¹⁰ ÷ 7² as a single power 7ⁿ. What is n?
  3. 3.Write 8⁸ × 8⁸ as a single power 8ⁿ. What is n?
  4. 4.Write 4.5 × 10⁻⁴ as a decimal. =
  5. 5.Write 5,500 in standard form as 5.5 × 10ⁿ. What is n?
  6. 6.What is the value of 3⁶? =
  7. 7.Write 710 in standard form as 7.1 × 10ⁿ. What is n?
  8. 8.What is the value of (2/9)⁻²? =
  9. 9.What is the value of (4/5)⁻²? =
  10. 10.What is the value of 10⁵ × 10⁻¹? =
  11. 11.What is the value of 2⁵ × 2⁻³? =
  12. 12.Write 8 × 10⁻² as a decimal. =
  13. 13.Write 7.5 × 10⁻¹ as a decimal. =
  14. 14.Write 5,400 in standard form as 5.4 × 10ⁿ. What is n?
  15. 15.Write 9² × 9² as a single power 9ⁿ. What is n?
  16. 16.What is the value of 2¹⁰? =
  17. 17.What is the value of 10⁵? =
  18. 18.Write 2² × 2⁶ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 5⁵? =
  20. 20.Write 5² × 5⁹ as a single power 5ⁿ. What is n?
  21. 21.What is the value of 2¹³? =
  22. 22.What is the value of 4⁸? =
  23. 23.Write 3⁴ ÷ 3² as a single power 3ⁿ. What is n?
  24. 24.What is the value of 3¹ × 3⁻⁶? =
  25. 25.Write 840 in standard form as 8.4 × 10ⁿ. What is n?
  26. 26.Write (8⁹)³ as a single power 8ⁿ. What is n?
  27. 27.What is the value of (2/3)⁻²? =
  28. 28.What is the value of 2⁷? =
  29. 29.Write 7⁸ × 7⁷ as a single power 7ⁿ. What is n?
  30. 30.Write 9⁴ × 9² as a single power 9ⁿ. What is n?
  31. 31.What is the value of 3³ × 3⁻³? =
  32. 32.Write (2⁵)⁹ as a single power 2ⁿ. What is n?
  33. 33.What is the value of 5¹ × 5⁻⁵? =
  34. 34.What is the value of (6/7)⁻²? =
  35. 35.3.1 × 10² =
  36. 36.What is the value of 3⁻³ (as a fraction)? =
  37. 37.Write 2.5 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 10²? =
  39. 39.Write 70,000 in standard form as 7 × 10ⁿ. What is n?
  40. 40.What is the value of 2⁻² (as a fraction)? =

Answer key

  1. 1/10
  2. 8
  3. 16
  4. 0.00045
  5. 3
  6. 729
  7. 2
  8. 81/4
  9. 25/16
  10. 10000
  11. 4
  12. 0.08
  13. 0.75
  14. 3
  15. 4
  16. 1024
  17. 100000
  18. 8
  19. 3125
  20. 11
  21. 8192
  22. 65536
  23. 2
  24. 1/243
  25. 2
  26. 27
  27. 9/4
  28. 128
  29. 15
  30. 6
  31. 1
  32. 45
  33. 1/625
  34. 49/36
  35. 310
  36. 1/27
  37. 0.00025
  38. 100
  39. 4
  40. 1/4

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