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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 143 · 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 × 2⁻²? =
  2. 2.What is the value of 10⁶ × 10⁻⁵? =
  3. 3.Write 6⁶ ÷ 6³ as a single power 6ⁿ. What is n?
  4. 4.Write 3.3 × 10⁻² as a decimal. =
  5. 5.Write 9.4 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 5¹ × 5⁻⁴? =
  7. 7.What is the value of 2⁻⁴ (as a fraction)? =
  8. 8.Write (3⁴)³ as a single power 3ⁿ. What is n?
  9. 9.Write 3 × 10⁻³ as a decimal. =
  10. 10.Write 4⁵ × 4³ as a single power 4ⁿ. What is n?
  11. 11.Write 19,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  12. 12.What is the value of 10²? =
  13. 13.What is the value of (7/9)⁻¹? =
  14. 14.Write 9.5 × 10⁻⁴ as a decimal. =
  15. 15.Write 2⁴ × 2⁵ as a single power 2ⁿ. What is n?
  16. 16.3.1 × 10⁶ =
  17. 17.Write 9¹⁵ ÷ 9⁶ as a single power 9ⁿ. What is n?
  18. 18.What is the value of 5³ × 5⁻⁴? =
  19. 19.What is the value of (1/9)⁻²? =
  20. 20.Write 4.7 × 10⁻³ as a decimal. =
  21. 21.Write 40,00,000 in standard form as 4 × 10ⁿ. What is n?
  22. 22.What is the value of 5⁴ × 5⁻³? =
  23. 23.Write 7.6 × 10⁻³ as a decimal. =
  24. 24.What is the value of (3/5)⁻²? =
  25. 25.Write 2.6 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 3⁶ × 3⁻⁴? =
  27. 27.Write 810 in standard form as 8.1 × 10ⁿ. What is n?
  28. 28.Write 6⁷ × 6² as a single power 6ⁿ. What is n?
  29. 29.Write (7⁴)⁴ as a single power 7ⁿ. What is n?
  30. 30.What is the value of 2¹ × 2⁻⁶? =
  31. 31.What is the value of 4⁻² (as a fraction)? =
  32. 32.Write 9² × 9⁶ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 3⁵ × 3⁻⁶? =
  34. 34.What is the value of 2¹⁰? =
  35. 35.Write 8¹² ÷ 8⁷ as a single power 8ⁿ. What is n?
  36. 36.Write 2.6 × 10⁻¹ as a decimal. =
  37. 37.What is the value of 2⁻¹ (as a fraction)? =
  38. 38.1.8 × 10⁴ =
  39. 39.What is the value of 4⁶? =
  40. 40.What is the value of 5⁴ × 5⁻⁵? =

Answer key

  1. 8
  2. 10
  3. 3
  4. 0.033
  5. 0.00094
  6. 1/125
  7. 1/16
  8. 12
  9. 0.003
  10. 8
  11. 6
  12. 100
  13. 9/7
  14. 0.00095
  15. 9
  16. 3100000
  17. 9
  18. 1/5
  19. 81
  20. 0.0047
  21. 6
  22. 5
  23. 0.0076
  24. 25/9
  25. 0.00026
  26. 9
  27. 2
  28. 9
  29. 16
  30. 1/32
  31. 1/16
  32. 8
  33. 1/3
  34. 1024
  35. 5
  36. 0.26
  37. 1/2
  38. 18000
  39. 4096
  40. 1/5

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