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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 671 · 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 2⁵ × 2⁻³? =
  2. 2.What is the value of (1/2)⁻¹? =
  3. 3.Write (6⁹)⁵ as a single power 6ⁿ. What is n?
  4. 4.What is the value of 10³? =
  5. 5.Write 2.7 × 10⁻¹ as a decimal. =
  6. 6.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?
  7. 7.Write 5.6 × 10⁻⁴ as a decimal. =
  8. 8.What is the value of 9⁴? =
  9. 9.Write 5.7 × 10⁻¹ as a decimal. =
  10. 10.What is the value of 8²? =
  11. 11.7.4 × 10⁴ =
  12. 12.What is the value of (6/7)⁻¹? =
  13. 13.What is the value of (1/3)⁻²? =
  14. 14.Write 5¹² ÷ 5⁷ as a single power 5ⁿ. What is n?
  15. 15.What is the value of 2⁶ × 2⁻³? =
  16. 16.Write 3.7 × 10⁻² as a decimal. =
  17. 17.Write 97,000 in standard form as 9.7 × 10ⁿ. What is n?
  18. 18.What is the value of 2⁻⁵ (as a fraction)? =
  19. 19.Write (5²)⁷ as a single power 5ⁿ. What is n?
  20. 20.What is the value of (1/6)⁻¹? =
  21. 21.What is the value of 2¹⁰? =
  22. 22.Write 9⁹ × 9⁶ as a single power 9ⁿ. What is n?
  23. 23.Write 9⁹ × 9² as a single power 9ⁿ. What is n?
  24. 24.What is the value of (8/9)⁻¹? =
  25. 25.Write 1,70,000 in standard form as 1.7 × 10ⁿ. What is n?
  26. 26.Write 8.6 × 10⁻³ as a decimal. =
  27. 27.Write 5.2 × 10⁻³ as a decimal. =
  28. 28.Write 9.3 × 10⁻³ as a decimal. =
  29. 29.Write 8⁷ × 8⁴ as a single power 8ⁿ. What is n?
  30. 30.What is the value of 7²? =
  31. 31.Write 4,30,000 in standard form as 4.3 × 10ⁿ. What is n?
  32. 32.What is the value of 4⁵? =
  33. 33.6.8 × 10² =
  34. 34.Write (5²)² as a single power 5ⁿ. What is n?
  35. 35.What is the value of 4⁸? =
  36. 36.What is the value of (5/9)⁻²? =
  37. 37.What is the value of 10⁵ × 10⁻⁵? =
  38. 38.What is the value of 2¹ × 2⁻⁶? =
  39. 39.Write 7⁸ ÷ 7² as a single power 7ⁿ. What is n?
  40. 40.Write 9.4 × 10⁻² as a decimal. =

Answer key

  1. 4
  2. 2
  3. 45
  4. 1000
  5. 0.27
  6. 12
  7. 0.00056
  8. 6561
  9. 0.57
  10. 64
  11. 74000
  12. 7/6
  13. 9
  14. 5
  15. 8
  16. 0.037
  17. 4
  18. 1/32
  19. 14
  20. 6
  21. 1024
  22. 15
  23. 11
  24. 9/8
  25. 5
  26. 0.0086
  27. 0.0052
  28. 0.0093
  29. 11
  30. 49
  31. 5
  32. 1024
  33. 680
  34. 4
  35. 65536
  36. 81/25
  37. 1
  38. 1/32
  39. 6
  40. 0.094

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