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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 45 · 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 2²? =
  2. 2.Write 8¹² ÷ 8³ as a single power 8ⁿ. What is n?
  3. 3.What is the value of 4³? =
  4. 4.4.2 × 10³ =
  5. 5.Write 3⁵ × 3⁷ as a single power 3ⁿ. What is n?
  6. 6.What is the value of 9²? =
  7. 7.What is the value of 2¹²? =
  8. 8.What is the value of 6⁶? =
  9. 9.6.9 × 10³ =
  10. 10.What is the value of (3/4)⁻¹? =
  11. 11.What is the value of 10⁵ × 10⁻⁶? =
  12. 12.What is the value of 3⁵ × 3⁻⁵? =
  13. 13.What is the value of (5/7)⁻²? =
  14. 14.What is the value of (3/5)⁻²? =
  15. 15.What is the value of (5/6)⁻²? =
  16. 16.What is the value of 10⁴ × 10⁻³? =
  17. 17.What is the value of (2/9)⁻¹? =
  18. 18.3.7 × 10⁵ =
  19. 19.Write 2⁵ × 2² as a single power 2ⁿ. What is n?
  20. 20.Write 3.1 × 10⁻¹ as a decimal. =
  21. 21.Write 1.2 × 10⁻² as a decimal. =
  22. 22.What is the value of (2/3)⁻¹? =
  23. 23.Write 8² × 8⁵ as a single power 8ⁿ. What is n?
  24. 24.Write 80,000 in standard form as 8 × 10ⁿ. What is n?
  25. 25.What is the value of 8⁵? =
  26. 26.Write (6²)⁷ as a single power 6ⁿ. What is n?
  27. 27.Write 250 in standard form as 2.5 × 10ⁿ. What is n?
  28. 28.What is the value of 5⁴? =
  29. 29.What is the value of 4⁻¹ (as a fraction)? =
  30. 30.Write 7⁵ × 7⁴ as a single power 7ⁿ. What is n?
  31. 31.Write 6.6 × 10⁻² as a decimal. =
  32. 32.What is the value of 2³? =
  33. 33.Write 1.8 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 2⁴ × 2⁻⁴? =
  35. 35.Write 7³ × 7² as a single power 7ⁿ. What is n?
  36. 36.5.6 × 10⁴ =
  37. 37.Write 8,40,00,000 in standard form as 8.4 × 10ⁿ. What is n?
  38. 38.Write 9.6 × 10⁻³ as a decimal. =
  39. 39.Write 8¹¹ ÷ 8⁸ as a single power 8ⁿ. What is n?
  40. 40.Write 4.5 × 10⁻³ as a decimal. =

Answer key

  1. 4
  2. 9
  3. 64
  4. 4200
  5. 12
  6. 81
  7. 4096
  8. 46656
  9. 6900
  10. 4/3
  11. 1/10
  12. 1
  13. 49/25
  14. 25/9
  15. 36/25
  16. 10
  17. 9/2
  18. 370000
  19. 7
  20. 0.31
  21. 0.012
  22. 3/2
  23. 7
  24. 4
  25. 32768
  26. 14
  27. 2
  28. 625
  29. 1/4
  30. 9
  31. 0.066
  32. 8
  33. 0.18
  34. 1
  35. 5
  36. 56000
  37. 7
  38. 0.0096
  39. 3
  40. 0.0045

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