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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 409 · 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. 2.7.4 × 10³ =
  3. 3.Write 8.1 × 10⁻² as a decimal. =
  4. 4.Write 2.5 × 10⁻³ as a decimal. =
  5. 5.What is the value of 2⁹? =
  6. 6.Write 1,60,00,000 in standard form as 1.6 × 10ⁿ. What is n?
  7. 7.8.7 × 10³ =
  8. 8.What is the value of 2⁵ × 2⁻⁵? =
  9. 9.What is the value of 3² × 3⁻³? =
  10. 10.3.7 × 10⁴ =
  11. 11.Write 20,00,000 in standard form as 2 × 10ⁿ. What is n?
  12. 12.Write (9⁶)⁸ as a single power 9ⁿ. What is n?
  13. 13.What is the value of 9⁻² (as a fraction)? =
  14. 14.Write 9.6 × 10⁻¹ as a decimal. =
  15. 15.Write 6.6 × 10⁻³ as a decimal. =
  16. 16.What is the value of (7/8)⁻²? =
  17. 17.What is the value of 9⁻³ (as a fraction)? =
  18. 18.Write 3.2 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 10⁻³ (as a fraction)? =
  20. 20.Write 2,20,000 in standard form as 2.2 × 10ⁿ. What is n?
  21. 21.What is the value of 4²? =
  22. 22.What is the value of 2⁻¹ (as a fraction)? =
  23. 23.What is the value of 5³ × 5⁻⁴? =
  24. 24.What is the value of (4/5)⁻¹? =
  25. 25.Write 5¹⁶ ÷ 5⁹ as a single power 5ⁿ. What is n?
  26. 26.Write 9.7 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 10²? =
  28. 28.What is the value of 8²? =
  29. 29.Write 2.7 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 2¹⁶? =
  31. 31.4.7 × 10² =
  32. 32.Write 7⁶ × 7⁹ as a single power 7ⁿ. What is n?
  33. 33.What is the value of 4⁴? =
  34. 34.What is the value of 9⁴? =
  35. 35.Write 5.2 × 10⁻¹ as a decimal. =
  36. 36.Write 2.6 × 10⁻¹ as a decimal. =
  37. 37.4 × 10² =
  38. 38.Write (9⁸)⁸ as a single power 9ⁿ. What is n?
  39. 39.What is the value of 10¹ × 10⁻³? =
  40. 40.What is the value of 3⁶ × 3⁻⁴? =

Answer key

  1. 128
  2. 7400
  3. 0.081
  4. 0.0025
  5. 512
  6. 7
  7. 8700
  8. 1
  9. 1/3
  10. 37000
  11. 6
  12. 48
  13. 1/81
  14. 0.96
  15. 0.0066
  16. 64/49
  17. 1/729
  18. 0.32
  19. 1/1000
  20. 5
  21. 16
  22. 1/2
  23. 1/5
  24. 5/4
  25. 7
  26. 0.97
  27. 100
  28. 64
  29. 0.27
  30. 65536
  31. 470
  32. 15
  33. 256
  34. 6561
  35. 0.52
  36. 0.26
  37. 400
  38. 64
  39. 1/100
  40. 9

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