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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 873 · 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 2.4 × 10⁻² as a decimal. =
  2. 2.What is the value of 3⁹? =
  3. 3.Write 1.6 × 10⁻⁴ as a decimal. =
  4. 4.8 × 10⁵ =
  5. 5.Write 3⁵ ÷ 3² as a single power 3ⁿ. What is n?
  6. 6.Write 6⁶ × 6⁶ as a single power 6ⁿ. What is n?
  7. 7.Write 3¹⁰ ÷ 3² as a single power 3ⁿ. What is n?
  8. 8.What is the value of 3⁻² (as a fraction)? =
  9. 9.Write 7,30,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  10. 10.Write 2.1 × 10⁻³ as a decimal. =
  11. 11.3.2 × 10⁷ =
  12. 12.What is the value of 2¹⁰? =
  13. 13.What is the value of 10² × 10⁻²? =
  14. 14.Write 2¹³ ÷ 2⁹ as a single power 2ⁿ. What is n?
  15. 15.What is the value of (3/5)⁻¹? =
  16. 16.What is the value of (1/8)⁻¹? =
  17. 17.Write 4.9 × 10⁻³ as a decimal. =
  18. 18.What is the value of 5⁻² (as a fraction)? =
  19. 19.What is the value of (5/6)⁻¹? =
  20. 20.Write 1.3 × 10⁻² as a decimal. =
  21. 21.8.2 × 10³ =
  22. 22.What is the value of (1/4)⁻²? =
  23. 23.What is the value of 3¹⁰? =
  24. 24.What is the value of 6⁻² (as a fraction)? =
  25. 25.What is the value of 7²? =
  26. 26.What is the value of 5³ × 5⁻¹? =
  27. 27.Write 3.3 × 10⁻² as a decimal. =
  28. 28.What is the value of 3¹ × 3⁻⁵? =
  29. 29.What is the value of 10⁵? =
  30. 30.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
  31. 31.What is the value of 2¹⁴? =
  32. 32.What is the value of 9⁻³ (as a fraction)? =
  33. 33.Write 4.9 × 10⁻² as a decimal. =
  34. 34.Write 7.3 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 5¹ × 5⁻⁵? =
  36. 36.What is the value of 2¹³? =
  37. 37.What is the value of (1/2)⁻²? =
  38. 38.Write (5⁷)⁹ as a single power 5ⁿ. What is n?
  39. 39.Write 3.3 × 10⁻³ as a decimal. =
  40. 40.What is the value of 8⁵? =

Answer key

  1. 0.024
  2. 19683
  3. 0.00016
  4. 800000
  5. 3
  6. 12
  7. 8
  8. 1/9
  9. 7
  10. 0.0021
  11. 32000000
  12. 1024
  13. 1
  14. 4
  15. 5/3
  16. 8
  17. 0.0049
  18. 1/25
  19. 6/5
  20. 0.013
  21. 8200
  22. 16
  23. 59049
  24. 1/36
  25. 49
  26. 25
  27. 0.033
  28. 1/81
  29. 100000
  30. 2
  31. 16384
  32. 1/729
  33. 0.049
  34. 0.00073
  35. 1/625
  36. 8192
  37. 4
  38. 63
  39. 0.0033
  40. 32768

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