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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 915 · 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 2⁷? =
  2. 2.What is the value of 9²? =
  3. 3.What is the value of 10⁵? =
  4. 4.What is the value of 5³ × 5⁻⁴? =
  5. 5.What is the value of 2¹ × 2⁻³? =
  6. 6.Write 7.5 × 10⁻² as a decimal. =
  7. 7.1.1 × 10² =
  8. 8.What is the value of 2⁵? =
  9. 9.What is the value of 3⁶ × 3⁻⁴? =
  10. 10.6.6 × 10⁵ =
  11. 11.What is the value of 10⁻² (as a fraction)? =
  12. 12.Write 4,800 in standard form as 4.8 × 10ⁿ. What is n?
  13. 13.Write 5.8 × 10⁻³ as a decimal. =
  14. 14.Write 9,30,00,000 in standard form as 9.3 × 10ⁿ. What is n?
  15. 15.What is the value of 2¹ × 2⁻²? =
  16. 16.What is the value of 2⁻¹ (as a fraction)? =
  17. 17.1.7 × 10⁶ =
  18. 18.What is the value of (1/6)⁻¹? =
  19. 19.Write 3.2 × 10⁻¹ as a decimal. =
  20. 20.Write 6.6 × 10⁻⁴ as a decimal. =
  21. 21.Write 4.7 × 10⁻³ as a decimal. =
  22. 22.What is the value of 6²? =
  23. 23.What is the value of 10⁶ × 10⁻⁶? =
  24. 24.Write 9⁷ ÷ 9⁵ as a single power 9ⁿ. What is n?
  25. 25.What is the value of 3³? =
  26. 26.Write 3.1 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 2⁻⁹ (as a fraction)? =
  28. 28.What is the value of 8⁴? =
  29. 29.What is the value of (4/5)⁻¹? =
  30. 30.What is the value of 3⁻² (as a fraction)? =
  31. 31.Write 4.4 × 10⁻² as a decimal. =
  32. 32.Write 2.8 × 10⁻⁴ as a decimal. =
  33. 33.Write 5.6 × 10⁻² as a decimal. =
  34. 34.What is the value of 3² × 3⁻⁴? =
  35. 35.Write 190 in standard form as 1.9 × 10ⁿ. What is n?
  36. 36.What is the value of 4⁷? =
  37. 37.What is the value of 10¹ × 10⁻³? =
  38. 38.5.4 × 10⁷ =
  39. 39.What is the value of 5⁴ × 5⁻⁶? =
  40. 40.What is the value of 10¹ × 10⁻²? =

Answer key

  1. 128
  2. 81
  3. 100000
  4. 1/5
  5. 1/4
  6. 0.075
  7. 110
  8. 32
  9. 9
  10. 660000
  11. 1/100
  12. 3
  13. 0.0058
  14. 7
  15. 1/2
  16. 1/2
  17. 1700000
  18. 6
  19. 0.32
  20. 0.00066
  21. 0.0047
  22. 36
  23. 1
  24. 2
  25. 27
  26. 0.00031
  27. 1/512
  28. 4096
  29. 5/4
  30. 1/9
  31. 0.044
  32. 0.00028
  33. 0.056
  34. 1/9
  35. 2
  36. 16384
  37. 1/100
  38. 54000000
  39. 1/25
  40. 1/10

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