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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 530 · 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 5³ × 5⁻⁶? =
  2. 2.What is the value of 2⁻⁷ (as a fraction)? =
  3. 3.What is the value of 6³? =
  4. 4.What is the value of 3⁻⁴ (as a fraction)? =
  5. 5.Write 6.8 × 10⁻⁴ as a decimal. =
  6. 6.Write 470 in standard form as 4.7 × 10ⁿ. What is n?
  7. 7.Write 3⁴ × 3⁵ as a single power 3ⁿ. What is n?
  8. 8.Write 4,90,000 in standard form as 4.9 × 10ⁿ. What is n?
  9. 9.Write 7.3 × 10⁻¹ as a decimal. =
  10. 10.What is the value of 2¹⁶? =
  11. 11.What is the value of 2⁻⁵ (as a fraction)? =
  12. 12.4.7 × 10³ =
  13. 13.Write 590 in standard form as 5.9 × 10ⁿ. What is n?
  14. 14.2 × 10⁵ =
  15. 15.Write 7.3 × 10⁻³ as a decimal. =
  16. 16.What is the value of 6⁻² (as a fraction)? =
  17. 17.What is the value of 4⁷? =
  18. 18.Write 9⁸ × 9⁴ as a single power 9ⁿ. What is n?
  19. 19.What is the value of 3⁻⁶ (as a fraction)? =
  20. 20.What is the value of 4⁻² (as a fraction)? =
  21. 21.Write 1.8 × 10⁻³ as a decimal. =
  22. 22.Write (5⁴)² as a single power 5ⁿ. What is n?
  23. 23.Write 3.1 × 10⁻² as a decimal. =
  24. 24.Write 5⁹ ÷ 5⁶ as a single power 5ⁿ. What is n?
  25. 25.What is the value of (1/5)⁻¹? =
  26. 26.What is the value of 3⁵? =
  27. 27.Write 6,000 in standard form as 6 × 10ⁿ. What is n?
  28. 28.Write 4¹² ÷ 4⁴ as a single power 4ⁿ. What is n?
  29. 29.Write 8.9 × 10⁻² as a decimal. =
  30. 30.What is the value of 8⁵? =
  31. 31.What is the value of 10¹ × 10⁻²? =
  32. 32.What is the value of 3³? =
  33. 33.7.1 × 10⁶ =
  34. 34.Write 2¹³ ÷ 2⁹ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 5⁶ × 5⁻⁴? =
  36. 36.6.4 × 10² =
  37. 37.What is the value of 8³? =
  38. 38.What is the value of 10² × 10⁻⁴? =
  39. 39.Write (2⁵)⁹ as a single power 2ⁿ. What is n?
  40. 40.What is the value of 2¹¹? =

Answer key

  1. 1/125
  2. 1/128
  3. 216
  4. 1/81
  5. 0.00068
  6. 2
  7. 9
  8. 5
  9. 0.73
  10. 65536
  11. 1/32
  12. 4700
  13. 2
  14. 200000
  15. 0.0073
  16. 1/36
  17. 16384
  18. 12
  19. 1/729
  20. 1/16
  21. 0.0018
  22. 8
  23. 0.031
  24. 3
  25. 5
  26. 243
  27. 3
  28. 8
  29. 0.089
  30. 32768
  31. 1/10
  32. 27
  33. 7100000
  34. 4
  35. 25
  36. 640
  37. 512
  38. 1/100
  39. 45
  40. 2048

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