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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 107 · 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 6,500 in standard form as 6.5 × 10ⁿ. What is n?
  2. 2.What is the value of 10⁶ × 10⁻⁶? =
  3. 3.Write 6,300 in standard form as 6.3 × 10ⁿ. What is n?
  4. 4.What is the value of 3³ × 3⁻³? =
  5. 5.What is the value of 2¹ × 2⁻⁵? =
  6. 6.What is the value of 4³? =
  7. 7.What is the value of 6²? =
  8. 8.Write 7.6 × 10⁻³ as a decimal. =
  9. 9.What is the value of 3¹⁰? =
  10. 10.What is the value of 5⁵? =
  11. 11.What is the value of 10⁻³ (as a fraction)? =
  12. 12.What is the value of 5¹ × 5⁻¹? =
  13. 13.What is the value of 2⁶? =
  14. 14.Write 6² × 6⁸ as a single power 6ⁿ. What is n?
  15. 15.Write 830 in standard form as 8.3 × 10ⁿ. What is n?
  16. 16.What is the value of 10⁶ × 10⁻²? =
  17. 17.What is the value of 9²? =
  18. 18.What is the value of 2¹¹? =
  19. 19.What is the value of 3⁷? =
  20. 20.What is the value of 3²? =
  21. 21.What is the value of 2¹⁰? =
  22. 22.Write (4⁹)⁸ as a single power 4ⁿ. What is n?
  23. 23.What is the value of 3⁵ × 3⁻⁵? =
  24. 24.What is the value of 7⁴? =
  25. 25.What is the value of 6⁴? =
  26. 26.Write 8⁸ ÷ 8⁴ as a single power 8ⁿ. What is n?
  27. 27.Write 700 in standard form as 7 × 10ⁿ. What is n?
  28. 28.What is the value of (1/8)⁻¹? =
  29. 29.Write 8,00,000 in standard form as 8 × 10ⁿ. What is n?
  30. 30.What is the value of (4/9)⁻²? =
  31. 31.Write 5⁷ × 5⁸ as a single power 5ⁿ. What is n?
  32. 32.Write 9,100 in standard form as 9.1 × 10ⁿ. What is n?
  33. 33.What is the value of 10³ × 10⁻²? =
  34. 34.Write 7 × 10⁻³ as a decimal. =
  35. 35.3.2 × 10² =
  36. 36.1.7 × 10³ =
  37. 37.What is the value of 5¹ × 5⁻³? =
  38. 38.What is the value of 2³ × 2⁻⁴? =
  39. 39.Write 9.5 × 10⁻² as a decimal. =
  40. 40.What is the value of 8⁵? =

Answer key

  1. 3
  2. 1
  3. 3
  4. 1
  5. 1/16
  6. 64
  7. 36
  8. 0.0076
  9. 59049
  10. 3125
  11. 1/1000
  12. 1
  13. 64
  14. 10
  15. 2
  16. 10000
  17. 81
  18. 2048
  19. 2187
  20. 9
  21. 1024
  22. 72
  23. 1
  24. 2401
  25. 1296
  26. 4
  27. 2
  28. 8
  29. 5
  30. 81/16
  31. 15
  32. 3
  33. 10
  34. 0.007
  35. 320
  36. 1700
  37. 1/25
  38. 1/2
  39. 0.095
  40. 32768

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