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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 722 · 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 3⁵? =
  2. 2.Write 770 in standard form as 7.7 × 10ⁿ. What is n?
  3. 3.What is the value of 2¹⁵? =
  4. 4.Write 320 in standard form as 3.2 × 10ⁿ. What is n?
  5. 5.What is the value of 6⁶? =
  6. 6.What is the value of 10⁻² (as a fraction)? =
  7. 7.Write 4.8 × 10⁻¹ as a decimal. =
  8. 8.What is the value of (8/9)⁻²? =
  9. 9.What is the value of 6²? =
  10. 10.Write 8⁸ ÷ 8² as a single power 8ⁿ. What is n?
  11. 11.What is the value of 3⁸? =
  12. 12.Write 700 in standard form as 7 × 10ⁿ. What is n?
  13. 13.Write 4,10,000 in standard form as 4.1 × 10ⁿ. What is n?
  14. 14.What is the value of 10⁵ × 10⁻²? =
  15. 15.What is the value of 3⁷? =
  16. 16.Write 6⁷ ÷ 6⁵ as a single power 6ⁿ. What is n?
  17. 17.What is the value of 2¹ × 2⁻⁵? =
  18. 18.What is the value of 10³ × 10⁻⁴? =
  19. 19.Write 4⁴ × 4⁶ as a single power 4ⁿ. What is n?
  20. 20.What is the value of 10⁴? =
  21. 21.4.9 × 10⁷ =
  22. 22.Write 6,900 in standard form as 6.9 × 10ⁿ. What is n?
  23. 23.Write 4⁶ × 4⁵ as a single power 4ⁿ. What is n?
  24. 24.What is the value of 2³ × 2⁻⁶? =
  25. 25.Write 8,600 in standard form as 8.6 × 10ⁿ. What is n?
  26. 26.What is the value of 5³? =
  27. 27.What is the value of 10³ × 10⁻²? =
  28. 28.What is the value of 10³ × 10⁻⁶? =
  29. 29.What is the value of 2³ × 2⁻⁵? =
  30. 30.Write 8,10,000 in standard form as 8.1 × 10ⁿ. What is n?
  31. 31.7.7 × 10² =
  32. 32.Write 1.9 × 10⁻⁴ as a decimal. =
  33. 33.3.3 × 10⁵ =
  34. 34.What is the value of (1/5)⁻²? =
  35. 35.What is the value of 2⁻⁴ (as a fraction)? =
  36. 36.Write 7.3 × 10⁻³ as a decimal. =
  37. 37.What is the value of (6/7)⁻¹? =
  38. 38.What is the value of 2³ × 2⁻¹? =
  39. 39.What is the value of 2⁹? =
  40. 40.Write 8⁶ × 8⁶ as a single power 8ⁿ. What is n?

Answer key

  1. 243
  2. 2
  3. 32768
  4. 2
  5. 46656
  6. 1/100
  7. 0.48
  8. 81/64
  9. 36
  10. 6
  11. 6561
  12. 2
  13. 5
  14. 1000
  15. 2187
  16. 2
  17. 1/16
  18. 1/10
  19. 10
  20. 10000
  21. 49000000
  22. 3
  23. 11
  24. 1/8
  25. 3
  26. 125
  27. 10
  28. 1/1000
  29. 1/4
  30. 5
  31. 770
  32. 0.00019
  33. 330000
  34. 25
  35. 1/16
  36. 0.0073
  37. 7/6
  38. 4
  39. 512
  40. 12

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