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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 523 · 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 2.1 × 10⁻³ as a decimal. =
  2. 2.What is the value of 3² × 3⁻⁵? =
  3. 3.Write 8¹⁶ ÷ 8⁹ as a single power 8ⁿ. What is n?
  4. 4.Write 2⁶ × 2⁵ as a single power 2ⁿ. What is n?
  5. 5.Write 1.4 × 10⁻¹ as a decimal. =
  6. 6.3.7 × 10⁵ =
  7. 7.7.4 × 10³ =
  8. 8.What is the value of 10⁻¹ (as a fraction)? =
  9. 9.What is the value of 10⁶ × 10⁻⁶? =
  10. 10.Write 6 × 10⁻⁴ as a decimal. =
  11. 11.Write 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  12. 12.What is the value of 5²? =
  13. 13.Write 6.4 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 5³ × 5⁻⁶? =
  15. 15.What is the value of 10³ × 10⁻⁵? =
  16. 16.Write 90,00,000 in standard form as 9 × 10ⁿ. What is n?
  17. 17.What is the value of 8⁵? =
  18. 18.Write 3.1 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 3⁻⁶ (as a fraction)? =
  20. 20.What is the value of 10¹ × 10⁻⁶? =
  21. 21.What is the value of 10⁵? =
  22. 22.What is the value of 3⁸? =
  23. 23.What is the value of 2⁷? =
  24. 24.What is the value of 5¹ × 5⁻³? =
  25. 25.3.6 × 10⁶ =
  26. 26.Write 8⁴ × 8² as a single power 8ⁿ. What is n?
  27. 27.Write 8¹² ÷ 8⁹ as a single power 8ⁿ. What is n?
  28. 28.Write (9⁴)⁴ as a single power 9ⁿ. What is n?
  29. 29.What is the value of 10² × 10⁻¹? =
  30. 30.What is the value of 3⁷? =
  31. 31.Write 2⁹ ÷ 2⁵ as a single power 2ⁿ. What is n?
  32. 32.Write 51,000 in standard form as 5.1 × 10ⁿ. What is n?
  33. 33.What is the value of 10¹ × 10⁻²? =
  34. 34.What is the value of 5⁵ × 5⁻⁴? =
  35. 35.Write 4³ × 4³ as a single power 4ⁿ. What is n?
  36. 36.What is the value of 8⁴? =
  37. 37.Write 7.6 × 10⁻¹ as a decimal. =
  38. 38.Write 5,30,000 in standard form as 5.3 × 10ⁿ. What is n?
  39. 39.What is the value of 2¹ × 2⁻⁵? =
  40. 40.Write 6.9 × 10⁻⁴ as a decimal. =

Answer key

  1. 0.0021
  2. 1/27
  3. 7
  4. 11
  5. 0.14
  6. 370000
  7. 7400
  8. 1/10
  9. 1
  10. 0.0006
  11. 6
  12. 25
  13. 0.64
  14. 1/125
  15. 1/100
  16. 6
  17. 32768
  18. 0.31
  19. 1/729
  20. 1/100000
  21. 100000
  22. 6561
  23. 128
  24. 1/25
  25. 3600000
  26. 6
  27. 3
  28. 16
  29. 10
  30. 2187
  31. 4
  32. 4
  33. 1/10
  34. 5
  35. 6
  36. 4096
  37. 0.76
  38. 5
  39. 1/16
  40. 0.00069

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