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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 591 · 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 6⁹ × 6² as a single power 6ⁿ. What is n?
  2. 2.Write 9.5 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of (1/4)⁻¹? =
  4. 4.What is the value of 3⁴? =
  5. 5.Write 3.4 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 3⁵? =
  7. 7.Write 7 × 10⁻¹ as a decimal. =
  8. 8.Write 910 in standard form as 9.1 × 10ⁿ. What is n?
  9. 9.Write (6³)⁷ as a single power 6ⁿ. What is n?
  10. 10.What is the value of (2/5)⁻¹? =
  11. 11.Write 5.1 × 10⁻³ as a decimal. =
  12. 12.What is the value of (1/7)⁻¹? =
  13. 13.Write 9⁴ × 9⁴ as a single power 9ⁿ. What is n?
  14. 14.Write 6 × 10⁻³ as a decimal. =
  15. 15.Write 9.9 × 10⁻⁴ as a decimal. =
  16. 16.What is the value of (4/5)⁻¹? =
  17. 17.What is the value of 2⁶ × 2⁻⁶? =
  18. 18.Write 24,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  19. 19.What is the value of 2²? =
  20. 20.7.1 × 10⁷ =
  21. 21.Write 8.1 × 10⁻³ as a decimal. =
  22. 22.What is the value of 2¹⁵? =
  23. 23.Write 3⁶ × 3² as a single power 3ⁿ. What is n?
  24. 24.What is the value of 3² × 3⁻²? =
  25. 25.Write 8.2 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 5⁵ × 5⁻⁴? =
  27. 27.What is the value of 6³? =
  28. 28.Write 6,50,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  29. 29.Write 53,00,000 in standard form as 5.3 × 10ⁿ. What is n?
  30. 30.Write 4.5 × 10⁻³ as a decimal. =
  31. 31.Write 9¹¹ ÷ 9³ as a single power 9ⁿ. What is n?
  32. 32.What is the value of 2¹²? =
  33. 33.Write 3.6 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 2⁶ × 2⁻³? =
  35. 35.What is the value of (3/7)⁻¹? =
  36. 36.What is the value of 10⁴ × 10⁻⁴? =
  37. 37.Write 4.4 × 10⁻³ as a decimal. =
  38. 38.What is the value of 2¹ × 2⁻⁵? =
  39. 39.Write 3⁶ × 3³ as a single power 3ⁿ. What is n?
  40. 40.What is the value of 2⁻⁹ (as a fraction)? =

Answer key

  1. 11
  2. 0.00095
  3. 4
  4. 81
  5. 0.34
  6. 243
  7. 0.7
  8. 2
  9. 21
  10. 5/2
  11. 0.0051
  12. 7
  13. 8
  14. 0.006
  15. 0.00099
  16. 5/4
  17. 1
  18. 6
  19. 4
  20. 71000000
  21. 0.0081
  22. 32768
  23. 8
  24. 1
  25. 0.82
  26. 5
  27. 216
  28. 7
  29. 6
  30. 0.0045
  31. 8
  32. 4096
  33. 0.36
  34. 8
  35. 7/3
  36. 1
  37. 0.0044
  38. 1/16
  39. 9
  40. 1/512

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