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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 372 · 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 2¹⁰? =
  2. 2.What is the value of 3³ × 3⁻⁴? =
  3. 3.7.3 × 10⁵ =
  4. 4.Write 7.6 × 10⁻² as a decimal. =
  5. 5.3.6 × 10⁷ =
  6. 6.What is the value of 2¹⁵? =
  7. 7.What is the value of 8⁴? =
  8. 8.Write 1.1 × 10⁻² as a decimal. =
  9. 9.What is the value of 3⁶ × 3⁻⁵? =
  10. 10.What is the value of 2²? =
  11. 11.Write 6.7 × 10⁻² as a decimal. =
  12. 12.What is the value of 2⁻⁵ (as a fraction)? =
  13. 13.Write 9.2 × 10⁻¹ as a decimal. =
  14. 14.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  15. 15.What is the value of 10³? =
  16. 16.Write 4.8 × 10⁻¹ as a decimal. =
  17. 17.Write 3 × 10⁻¹ as a decimal. =
  18. 18.Write 5.1 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 2³? =
  20. 20.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?
  21. 21.Write 7⁶ × 7⁶ as a single power 7ⁿ. What is n?
  22. 22.Write 5⁹ ÷ 5⁷ as a single power 5ⁿ. What is n?
  23. 23.What is the value of 9²? =
  24. 24.Write 3¹² ÷ 3⁸ as a single power 3ⁿ. What is n?
  25. 25.Write 300 in standard form as 3 × 10ⁿ. What is n?
  26. 26.What is the value of (5/6)⁻¹? =
  27. 27.What is the value of 8²? =
  28. 28.What is the value of 10⁶ × 10⁻¹? =
  29. 29.9.9 × 10⁷ =
  30. 30.Write 1.9 × 10⁻⁴ as a decimal. =
  31. 31.Write 8⁶ ÷ 8³ as a single power 8ⁿ. What is n?
  32. 32.Write 9³ × 9⁴ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 2¹ × 2⁻³? =
  34. 34.3.2 × 10³ =
  35. 35.What is the value of 3²? =
  36. 36.1.5 × 10³ =
  37. 37.What is the value of 2⁻⁹ (as a fraction)? =
  38. 38.Write 4² × 4⁸ as a single power 4ⁿ. What is n?
  39. 39.Write 9¹¹ ÷ 9⁹ as a single power 9ⁿ. What is n?
  40. 40.What is the value of 3⁵ × 3⁻⁴? =

Answer key

  1. 1024
  2. 1/3
  3. 730000
  4. 0.076
  5. 36000000
  6. 32768
  7. 4096
  8. 0.011
  9. 3
  10. 4
  11. 0.067
  12. 1/32
  13. 0.92
  14. 4
  15. 1000
  16. 0.48
  17. 0.3
  18. 0.51
  19. 8
  20. 12
  21. 12
  22. 2
  23. 81
  24. 4
  25. 2
  26. 6/5
  27. 64
  28. 100000
  29. 99000000
  30. 0.00019
  31. 3
  32. 7
  33. 1/4
  34. 3200
  35. 9
  36. 1500
  37. 1/512
  38. 10
  39. 2
  40. 3

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