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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 553 · 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 8⁷ × 8⁴ as a single power 8ⁿ. What is n?
  2. 2.Write (2²)⁵ as a single power 2ⁿ. What is n?
  3. 3.Write 9.1 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 2¹²? =
  5. 5.Write 9⁷ × 9³ as a single power 9ⁿ. What is n?
  6. 6.Write (8²)⁴ as a single power 8ⁿ. What is n?
  7. 7.What is the value of 10² × 10⁻⁶? =
  8. 8.Write 7.1 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of 3⁶ × 3⁻¹? =
  10. 10.Write 76,00,000 in standard form as 7.6 × 10ⁿ. What is n?
  11. 11.What is the value of 5²? =
  12. 12.What is the value of 2⁹? =
  13. 13.Write 7.9 × 10⁻² as a decimal. =
  14. 14.Write 3⁶ × 3² as a single power 3ⁿ. What is n?
  15. 15.Write 86,000 in standard form as 8.6 × 10ⁿ. What is n?
  16. 16.What is the value of 10⁶ × 10⁻⁵? =
  17. 17.Write 3,50,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  18. 18.What is the value of 5⁴ × 5⁻⁴? =
  19. 19.What is the value of 3⁻⁴ (as a fraction)? =
  20. 20.Write (8⁶)³ as a single power 8ⁿ. What is n?
  21. 21.What is the value of (7/8)⁻²? =
  22. 22.1.9 × 10³ =
  23. 23.Write 4.8 × 10⁻² as a decimal. =
  24. 24.What is the value of (2/7)⁻²? =
  25. 25.What is the value of 8⁻² (as a fraction)? =
  26. 26.What is the value of 6⁶? =
  27. 27.Write 7.8 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of (7/9)⁻¹? =
  29. 29.Write 1.6 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 3³? =
  31. 31.Write 2⁸ × 2⁸ as a single power 2ⁿ. What is n?
  32. 32.Write 6.1 × 10⁻³ as a decimal. =
  33. 33.Write 1.8 × 10⁻³ as a decimal. =
  34. 34.Write 9.1 × 10⁻¹ as a decimal. =
  35. 35.3.7 × 10³ =
  36. 36.What is the value of 10¹ × 10⁻⁶? =
  37. 37.What is the value of 10⁴ × 10⁻¹? =
  38. 38.Write 6¹² ÷ 6⁷ as a single power 6ⁿ. What is n?
  39. 39.What is the value of 2¹⁵? =
  40. 40.What is the value of (1/5)⁻²? =

Answer key

  1. 11
  2. 10
  3. 0.00091
  4. 4096
  5. 10
  6. 8
  7. 1/10000
  8. 0.00071
  9. 243
  10. 6
  11. 25
  12. 512
  13. 0.079
  14. 8
  15. 4
  16. 10
  17. 7
  18. 1
  19. 1/81
  20. 18
  21. 64/49
  22. 1900
  23. 0.048
  24. 49/4
  25. 1/64
  26. 46656
  27. 0.00078
  28. 9/7
  29. 0.16
  30. 27
  31. 16
  32. 0.0061
  33. 0.0018
  34. 0.91
  35. 3700
  36. 1/100000
  37. 1000
  38. 5
  39. 32768
  40. 25

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