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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 932 · 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 6.5 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 2⁴ × 2⁻²? =
  3. 3.Write 80,00,000 in standard form as 8 × 10ⁿ. What is n?
  4. 4.What is the value of 5⁶ × 5⁻⁵? =
  5. 5.What is the value of 2¹⁶? =
  6. 6.What is the value of 3⁻¹ (as a fraction)? =
  7. 7.Write 9,100 in standard form as 9.1 × 10ⁿ. What is n?
  8. 8.9.4 × 10³ =
  9. 9.What is the value of 8⁴? =
  10. 10.Write 3⁶ × 3⁵ as a single power 3ⁿ. What is n?
  11. 11.What is the value of 3⁹? =
  12. 12.What is the value of 6⁴? =
  13. 13.What is the value of 2³ × 2⁻⁴? =
  14. 14.Write 5.7 × 10⁻³ as a decimal. =
  15. 15.What is the value of (3/5)⁻¹? =
  16. 16.Write 2.7 × 10⁻² as a decimal. =
  17. 17.What is the value of (1/7)⁻¹? =
  18. 18.Write 4.7 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of 2²? =
  20. 20.2.2 × 10³ =
  21. 21.What is the value of 2¹⁵? =
  22. 22.What is the value of 7⁻¹ (as a fraction)? =
  23. 23.What is the value of 5⁴? =
  24. 24.Write 5.1 × 10⁻² as a decimal. =
  25. 25.Write 4.8 × 10⁻⁴ as a decimal. =
  26. 26.Write 1.7 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 2⁴? =
  28. 28.What is the value of 10¹ × 10⁻⁶? =
  29. 29.What is the value of 10¹ × 10⁻⁵? =
  30. 30.Write 8⁷ × 8⁴ as a single power 8ⁿ. What is n?
  31. 31.Write (7²)⁵ as a single power 7ⁿ. What is n?
  32. 32.Write 5.8 × 10⁻¹ as a decimal. =
  33. 33.Write 1,300 in standard form as 1.3 × 10ⁿ. What is n?
  34. 34.Write (3⁸)⁷ as a single power 3ⁿ. What is n?
  35. 35.Write 1.4 × 10⁻³ as a decimal. =
  36. 36.What is the value of 5⁴ × 5⁻⁶? =
  37. 37.3.4 × 10⁴ =
  38. 38.What is the value of 10⁴? =
  39. 39.Write 8.8 × 10⁻² as a decimal. =
  40. 40.What is the value of (5/8)⁻¹? =

Answer key

  1. 0.00065
  2. 4
  3. 6
  4. 5
  5. 65536
  6. 1/3
  7. 3
  8. 9400
  9. 4096
  10. 11
  11. 19683
  12. 1296
  13. 1/2
  14. 0.0057
  15. 5/3
  16. 0.027
  17. 7
  18. 0.00047
  19. 4
  20. 2200
  21. 32768
  22. 1/7
  23. 625
  24. 0.051
  25. 0.00048
  26. 0.17
  27. 16
  28. 1/100000
  29. 1/10000
  30. 11
  31. 10
  32. 0.58
  33. 3
  34. 56
  35. 0.0014
  36. 1/25
  37. 34000
  38. 10000
  39. 0.088
  40. 8/5

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