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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 846 · 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 4.9 × 10⁻² as a decimal. =
  2. 2.Write (2⁴)⁵ as a single power 2ⁿ. What is n?
  3. 3.What is the value of (3/5)⁻¹? =
  4. 4.Write 3,40,00,000 in standard form as 3.4 × 10ⁿ. What is n?
  5. 5.4.5 × 10³ =
  6. 6.What is the value of 2⁹? =
  7. 7.Write 6.7 × 10⁻⁴ as a decimal. =
  8. 8.What is the value of 8³? =
  9. 9.What is the value of 5² × 5⁻⁵? =
  10. 10.What is the value of 10⁻¹ (as a fraction)? =
  11. 11.What is the value of 3⁵ × 3⁻²? =
  12. 12.What is the value of (1/7)⁻²? =
  13. 13.Write 9 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 2⁻⁵ (as a fraction)? =
  15. 15.What is the value of 8⁵? =
  16. 16.5.8 × 10⁷ =
  17. 17.Write (9⁷)⁷ as a single power 9ⁿ. What is n?
  18. 18.What is the value of (4/9)⁻²? =
  19. 19.What is the value of 10¹ × 10⁻³? =
  20. 20.What is the value of 9³? =
  21. 21.What is the value of (2/7)⁻¹? =
  22. 22.What is the value of (1/4)⁻¹? =
  23. 23.Write (8⁹)⁷ as a single power 8ⁿ. What is n?
  24. 24.What is the value of 3³? =
  25. 25.What is the value of 2⁵? =
  26. 26.What is the value of 3⁵? =
  27. 27.Write 7.8 × 10⁻² as a decimal. =
  28. 28.Write 6.4 × 10⁻⁴ as a decimal. =
  29. 29.Write 9² × 9⁶ as a single power 9ⁿ. What is n?
  30. 30.Write 910 in standard form as 9.1 × 10ⁿ. What is n?
  31. 31.What is the value of 8²? =
  32. 32.What is the value of (1/3)⁻¹? =
  33. 33.5.6 × 10² =
  34. 34.Write (5⁸)⁴ as a single power 5ⁿ. What is n?
  35. 35.What is the value of 3⁻⁵ (as a fraction)? =
  36. 36.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  37. 37.What is the value of 4⁵? =
  38. 38.Write (8⁷)⁷ as a single power 8ⁿ. What is n?
  39. 39.Write 6⁶ × 6⁹ as a single power 6ⁿ. What is n?
  40. 40.What is the value of (1/5)⁻¹? =

Answer key

  1. 0.049
  2. 20
  3. 5/3
  4. 7
  5. 4500
  6. 512
  7. 0.00067
  8. 512
  9. 1/125
  10. 1/10
  11. 27
  12. 49
  13. 0.0009
  14. 1/32
  15. 32768
  16. 58000000
  17. 49
  18. 81/16
  19. 1/100
  20. 729
  21. 7/2
  22. 4
  23. 63
  24. 27
  25. 32
  26. 243
  27. 0.078
  28. 0.00064
  29. 8
  30. 2
  31. 64
  32. 3
  33. 560
  34. 32
  35. 1/243
  36. 7
  37. 1024
  38. 49
  39. 15
  40. 5

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