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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 266 · 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 5⁶? =
  2. 2.3.3 × 10³ =
  3. 3.Write 4,60,00,000 in standard form as 4.6 × 10ⁿ. What is n?
  4. 4.What is the value of 3⁴ × 3⁻¹? =
  5. 5.Write (2⁶)⁶ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 6⁵? =
  7. 7.What is the value of 2⁻³ (as a fraction)? =
  8. 8.What is the value of 3⁴? =
  9. 9.Write 7.5 × 10⁻² as a decimal. =
  10. 10.What is the value of 3⁻² (as a fraction)? =
  11. 11.What is the value of 4²? =
  12. 12.What is the value of 8⁻² (as a fraction)? =
  13. 13.Write 1.3 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 6⁴? =
  15. 15.Write 6¹¹ ÷ 6⁷ as a single power 6ⁿ. What is n?
  16. 16.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
  17. 17.Write 8,100 in standard form as 8.1 × 10ⁿ. What is n?
  18. 18.Write 2.2 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 4⁷? =
  20. 20.What is the value of 10⁴? =
  21. 21.Write 9,000 in standard form as 9 × 10ⁿ. What is n?
  22. 22.What is the value of 4⁸? =
  23. 23.Write 2,300 in standard form as 2.3 × 10ⁿ. What is n?
  24. 24.What is the value of 3¹ × 3⁻⁵? =
  25. 25.What is the value of 2¹¹? =
  26. 26.What is the value of 3¹ × 3⁻¹? =
  27. 27.Write (9³)⁸ as a single power 9ⁿ. What is n?
  28. 28.Write 9⁸ ÷ 9³ as a single power 9ⁿ. What is n?
  29. 29.Write 6.6 × 10⁻¹ as a decimal. =
  30. 30.Write 8⁵ ÷ 8² as a single power 8ⁿ. What is n?
  31. 31.Write 6.3 × 10⁻¹ as a decimal. =
  32. 32.Write 6¹² ÷ 6⁹ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 8²? =
  34. 34.Write 3.3 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 5⁶ × 5⁻²? =
  36. 36.Write 9.1 × 10⁻² as a decimal. =
  37. 37.What is the value of 3²? =
  38. 38.Write 2⁹ × 2⁴ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 10²? =
  40. 40.Write 6¹² ÷ 6⁴ as a single power 6ⁿ. What is n?

Answer key

  1. 15625
  2. 3300
  3. 7
  4. 27
  5. 36
  6. 7776
  7. 1/8
  8. 81
  9. 0.075
  10. 1/9
  11. 16
  12. 1/64
  13. 0.13
  14. 1296
  15. 4
  16. 2
  17. 3
  18. 0.22
  19. 16384
  20. 10000
  21. 3
  22. 65536
  23. 3
  24. 1/81
  25. 2048
  26. 1
  27. 24
  28. 5
  29. 0.66
  30. 3
  31. 0.63
  32. 3
  33. 64
  34. 0.00033
  35. 625
  36. 0.091
  37. 9
  38. 13
  39. 100
  40. 8

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