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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 213 · 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 5⁶ × 5⁴ as a single power 5ⁿ. What is n?
  2. 2.What is the value of (3/8)⁻²? =
  3. 3.Write 2.7 × 10⁻³ as a decimal. =
  4. 4.5.1 × 10⁷ =
  5. 5.What is the value of 2² × 2⁻¹? =
  6. 6.Write 2.9 × 10⁻² as a decimal. =
  7. 7.What is the value of 10⁴ × 10⁻⁵? =
  8. 8.What is the value of 7⁻² (as a fraction)? =
  9. 9.Write 710 in standard form as 7.1 × 10ⁿ. What is n?
  10. 10.Write 1.7 × 10⁻¹ as a decimal. =
  11. 11.6.8 × 10³ =
  12. 12.Write 8.3 × 10⁻³ as a decimal. =
  13. 13.3.3 × 10² =
  14. 14.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  15. 15.What is the value of 2¹³? =
  16. 16.What is the value of 2¹ × 2⁻⁵? =
  17. 17.What is the value of 8⁴? =
  18. 18.Write 2.4 × 10⁻¹ as a decimal. =
  19. 19.Write (6⁸)⁴ as a single power 6ⁿ. What is n?
  20. 20.Write 3.6 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 8⁵? =
  22. 22.What is the value of 2³? =
  23. 23.Write 6.3 × 10⁻³ as a decimal. =
  24. 24.Write 1.4 × 10⁻¹ as a decimal. =
  25. 25.Write 2.1 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 10³? =
  27. 27.What is the value of (2/5)⁻²? =
  28. 28.What is the value of 10⁴ × 10⁻²? =
  29. 29.What is the value of 2³ × 2⁻⁶? =
  30. 30.What is the value of 10² × 10⁻⁴? =
  31. 31.Write 4¹¹ ÷ 4⁶ as a single power 4ⁿ. What is n?
  32. 32.Write 6.7 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 2³ × 2⁻⁴? =
  34. 34.What is the value of 2⁵ × 2⁻⁵? =
  35. 35.4.6 × 10³ =
  36. 36.Write 9⁶ × 9² as a single power 9ⁿ. What is n?
  37. 37.Write 8,20,000 in standard form as 8.2 × 10ⁿ. What is n?
  38. 38.What is the value of 2⁴? =
  39. 39.Write 790 in standard form as 7.9 × 10ⁿ. What is n?
  40. 40.What is the value of (1/6)⁻¹? =

Answer key

  1. 10
  2. 64/9
  3. 0.0027
  4. 51000000
  5. 2
  6. 0.029
  7. 1/10
  8. 1/49
  9. 2
  10. 0.17
  11. 6800
  12. 0.0083
  13. 330
  14. 6
  15. 8192
  16. 1/16
  17. 4096
  18. 0.24
  19. 32
  20. 0.00036
  21. 32768
  22. 8
  23. 0.0063
  24. 0.14
  25. 0.21
  26. 1000
  27. 25/4
  28. 100
  29. 1/8
  30. 1/100
  31. 5
  32. 0.67
  33. 1/2
  34. 1
  35. 4600
  36. 8
  37. 5
  38. 16
  39. 2
  40. 6

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