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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 331 · 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 7⁴ × 7⁸ as a single power 7ⁿ. What is n?
  2. 2.What is the value of 10²? =
  3. 3.Write 3.4 × 10⁻² as a decimal. =
  4. 4.Write 2⁷ × 2⁸ as a single power 2ⁿ. What is n?
  5. 5.Write 22,00,000 in standard form as 2.2 × 10ⁿ. What is n?
  6. 6.What is the value of 5⁻² (as a fraction)? =
  7. 7.Write 8⁶ × 8³ as a single power 8ⁿ. What is n?
  8. 8.What is the value of 4⁷? =
  9. 9.Write 2.2 × 10⁻² as a decimal. =
  10. 10.What is the value of 2⁴? =
  11. 11.Write 660 in standard form as 6.6 × 10ⁿ. What is n?
  12. 12.What is the value of 2²? =
  13. 13.What is the value of 2⁶? =
  14. 14.Write 3⁸ × 3⁸ as a single power 3ⁿ. What is n?
  15. 15.What is the value of 4⁸? =
  16. 16.4.5 × 10³ =
  17. 17.What is the value of 3² × 3⁻³? =
  18. 18.Write 2.8 × 10⁻¹ as a decimal. =
  19. 19.8.2 × 10⁵ =
  20. 20.Write 9.4 × 10⁻¹ as a decimal. =
  21. 21.1.9 × 10³ =
  22. 22.Write 5.5 × 10⁻¹ as a decimal. =
  23. 23.Write 3⁹ × 3² as a single power 3ⁿ. What is n?
  24. 24.What is the value of 3⁴ × 3⁻⁵? =
  25. 25.What is the value of 8⁻² (as a fraction)? =
  26. 26.Write 5.9 × 10⁻³ as a decimal. =
  27. 27.Write 6⁶ × 6² as a single power 6ⁿ. What is n?
  28. 28.Write (9⁹)⁶ as a single power 9ⁿ. What is n?
  29. 29.What is the value of 10³ × 10⁻⁴? =
  30. 30.Write 9⁸ × 9⁸ as a single power 9ⁿ. What is n?
  31. 31.What is the value of 3⁻² (as a fraction)? =
  32. 32.Write 1.9 × 10⁻² as a decimal. =
  33. 33.Write 3¹⁸ ÷ 3⁹ as a single power 3ⁿ. What is n?
  34. 34.What is the value of (5/9)⁻²? =
  35. 35.Write 8⁸ × 8⁹ as a single power 8ⁿ. What is n?
  36. 36.Write 2⁴ ÷ 2² as a single power 2ⁿ. What is n?
  37. 37.What is the value of 5³ × 5⁻⁴? =
  38. 38.What is the value of 5³? =
  39. 39.Write 6¹⁵ ÷ 6⁸ as a single power 6ⁿ. What is n?
  40. 40.Write 5 × 10⁻³ as a decimal. =

Answer key

  1. 12
  2. 100
  3. 0.034
  4. 15
  5. 6
  6. 1/25
  7. 9
  8. 16384
  9. 0.022
  10. 16
  11. 2
  12. 4
  13. 64
  14. 16
  15. 65536
  16. 4500
  17. 1/3
  18. 0.28
  19. 820000
  20. 0.94
  21. 1900
  22. 0.55
  23. 11
  24. 1/3
  25. 1/64
  26. 0.0059
  27. 8
  28. 54
  29. 1/10
  30. 16
  31. 1/9
  32. 0.019
  33. 9
  34. 81/25
  35. 17
  36. 2
  37. 1/5
  38. 125
  39. 7
  40. 0.005

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