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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 588 · 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 10²? =
  2. 2.What is the value of 2³ × 2⁻²? =
  3. 3.What is the value of 2⁵ × 2⁻⁶? =
  4. 4.What is the value of 5³ × 5⁻¹? =
  5. 5.Write (7⁵)³ as a single power 7ⁿ. What is n?
  6. 6.What is the value of 4²? =
  7. 7.What is the value of 9³? =
  8. 8.1.5 × 10³ =
  9. 9.What is the value of 2¹⁰? =
  10. 10.What is the value of 5⁵ × 5⁻²? =
  11. 11.What is the value of 2⁷? =
  12. 12.What is the value of 2¹²? =
  13. 13.Write 4.7 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 2⁵? =
  15. 15.Write 5⁹ ÷ 5⁶ as a single power 5ⁿ. What is n?
  16. 16.What is the value of 2⁴? =
  17. 17.What is the value of 3⁵ × 3⁻¹? =
  18. 18.What is the value of 2¹¹? =
  19. 19.5.5 × 10² =
  20. 20.What is the value of 10³ × 10⁻⁴? =
  21. 21.Write 4.5 × 10⁻⁴ as a decimal. =
  22. 22.Write 8.4 × 10⁻³ as a decimal. =
  23. 23.Write 2.2 × 10⁻² as a decimal. =
  24. 24.Write 7.5 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 5⁶ × 5⁻⁶? =
  26. 26.Write 5,20,00,000 in standard form as 5.2 × 10ⁿ. What is n?
  27. 27.Write 5.1 × 10⁻³ as a decimal. =
  28. 28.What is the value of (1/8)⁻¹? =
  29. 29.Write 5⁶ ÷ 5³ as a single power 5ⁿ. What is n?
  30. 30.Write 2¹⁴ ÷ 2⁵ as a single power 2ⁿ. What is n?
  31. 31.3.5 × 10⁶ =
  32. 32.What is the value of (1/2)⁻²? =
  33. 33.Write 3⁶ ÷ 3⁴ as a single power 3ⁿ. What is n?
  34. 34.Write 8.8 × 10⁻² as a decimal. =
  35. 35.What is the value of 3⁸? =
  36. 36.What is the value of 2⁴ × 2⁻⁵? =
  37. 37.Write 7.9 × 10⁻³ as a decimal. =
  38. 38.Write 6⁸ ÷ 6⁵ as a single power 6ⁿ. What is n?
  39. 39.What is the value of 3¹ × 3⁻³? =
  40. 40.Write (7²)⁹ as a single power 7ⁿ. What is n?

Answer key

  1. 100
  2. 2
  3. 1/2
  4. 25
  5. 15
  6. 16
  7. 729
  8. 1500
  9. 1024
  10. 125
  11. 128
  12. 4096
  13. 0.47
  14. 32
  15. 3
  16. 16
  17. 81
  18. 2048
  19. 550
  20. 1/10
  21. 0.00045
  22. 0.0084
  23. 0.022
  24. 0.75
  25. 1
  26. 7
  27. 0.0051
  28. 8
  29. 3
  30. 9
  31. 3500000
  32. 4
  33. 2
  34. 0.088
  35. 6561
  36. 1/2
  37. 0.0079
  38. 3
  39. 1/9
  40. 18

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