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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 78 · 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 10⁵? =
  2. 2.2.6 × 10³ =
  3. 3.What is the value of 10³ × 10⁻²? =
  4. 4.Write 6⁵ ÷ 6³ as a single power 6ⁿ. What is n?
  5. 5.What is the value of 10³ × 10⁻³? =
  6. 6.Write 4.6 × 10⁻⁴ as a decimal. =
  7. 7.Write (3⁵)² as a single power 3ⁿ. What is n?
  8. 8.Write 8,10,000 in standard form as 8.1 × 10ⁿ. What is n?
  9. 9.What is the value of 5²? =
  10. 10.Write 440 in standard form as 4.4 × 10ⁿ. What is n?
  11. 11.Write 7.8 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 3⁵ × 3⁻²? =
  13. 13.6 × 10⁷ =
  14. 14.Write 7,50,000 in standard form as 7.5 × 10ⁿ. What is n?
  15. 15.What is the value of 4⁶? =
  16. 16.Write (6⁵)⁷ as a single power 6ⁿ. What is n?
  17. 17.Write 2 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 3⁴? =
  19. 19.What is the value of 2⁴ × 2⁻²? =
  20. 20.What is the value of (7/8)⁻¹? =
  21. 21.Write 3 × 10⁻⁴ as a decimal. =
  22. 22.Write 6¹⁶ ÷ 6⁹ as a single power 6ⁿ. What is n?
  23. 23.Write (3⁸)³ as a single power 3ⁿ. What is n?
  24. 24.Write 1.7 × 10⁻³ as a decimal. =
  25. 25.Write (7³)⁶ as a single power 7ⁿ. What is n?
  26. 26.What is the value of 2⁶ × 2⁻⁵? =
  27. 27.Write 5.2 × 10⁻³ as a decimal. =
  28. 28.What is the value of (4/7)⁻²? =
  29. 29.What is the value of 7⁴? =
  30. 30.What is the value of 10¹ × 10⁻⁶? =
  31. 31.What is the value of 3⁶ × 3⁻²? =
  32. 32.Write 6.3 × 10⁻² as a decimal. =
  33. 33.Write 38,00,000 in standard form as 3.8 × 10ⁿ. What is n?
  34. 34.Write 5¹⁵ ÷ 5⁷ as a single power 5ⁿ. What is n?
  35. 35.What is the value of 5³ × 5⁻¹? =
  36. 36.What is the value of 8⁻¹ (as a fraction)? =
  37. 37.Write 9¹⁴ ÷ 9⁹ as a single power 9ⁿ. What is n?
  38. 38.Write 7² × 7⁹ as a single power 7ⁿ. What is n?
  39. 39.Write 4¹³ ÷ 4⁹ as a single power 4ⁿ. What is n?
  40. 40.What is the value of 3³ × 3⁻⁵? =

Answer key

  1. 100000
  2. 2600
  3. 10
  4. 2
  5. 1
  6. 0.00046
  7. 10
  8. 5
  9. 25
  10. 2
  11. 0.78
  12. 27
  13. 60000000
  14. 5
  15. 4096
  16. 35
  17. 0.2
  18. 81
  19. 4
  20. 8/7
  21. 0.0003
  22. 7
  23. 24
  24. 0.0017
  25. 18
  26. 2
  27. 0.0052
  28. 49/16
  29. 2401
  30. 1/100000
  31. 81
  32. 0.063
  33. 6
  34. 8
  35. 25
  36. 1/8
  37. 5
  38. 11
  39. 4
  40. 1/9

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