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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 843 · 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 9³ × 9⁷ as a single power 9ⁿ. What is n?
  2. 2.Write 4⁶ × 4⁷ as a single power 4ⁿ. What is n?
  3. 3.Write 6⁴ × 6⁵ as a single power 6ⁿ. What is n?
  4. 4.What is the value of (7/8)⁻²? =
  5. 5.What is the value of 8⁴? =
  6. 6.Write 7.8 × 10⁻² as a decimal. =
  7. 7.5.9 × 10² =
  8. 8.What is the value of 4⁻⁴ (as a fraction)? =
  9. 9.Write (3⁴)⁷ as a single power 3ⁿ. What is n?
  10. 10.Write 9¹⁴ ÷ 9⁷ as a single power 9ⁿ. What is n?
  11. 11.Write 7.6 × 10⁻² as a decimal. =
  12. 12.Write 7.7 × 10⁻⁴ as a decimal. =
  13. 13.Write 2.5 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 3⁵? =
  15. 15.What is the value of 3⁵ × 3⁻¹? =
  16. 16.What is the value of 7⁻³ (as a fraction)? =
  17. 17.Write 3² × 3⁴ as a single power 3ⁿ. What is n?
  18. 18.Write (7⁶)⁵ as a single power 7ⁿ. What is n?
  19. 19.Write 9⁸ × 9⁷ as a single power 9ⁿ. What is n?
  20. 20.Write (8⁴)⁵ as a single power 8ⁿ. What is n?
  21. 21.Write 5⁷ × 5⁵ as a single power 5ⁿ. What is n?
  22. 22.Write 2,10,00,000 in standard form as 2.1 × 10ⁿ. What is n?
  23. 23.What is the value of 5⁻¹ (as a fraction)? =
  24. 24.What is the value of 2⁷? =
  25. 25.Write 8 × 10⁻⁴ as a decimal. =
  26. 26.Write 1.6 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 2⁻² (as a fraction)? =
  28. 28.What is the value of 3⁴? =
  29. 29.3.3 × 10⁵ =
  30. 30.Write 8,30,000 in standard form as 8.3 × 10ⁿ. What is n?
  31. 31.Write 4.2 × 10⁻² as a decimal. =
  32. 32.9.1 × 10² =
  33. 33.Write 3 × 10⁻⁴ as a decimal. =
  34. 34.What is the value of 3⁻¹ (as a fraction)? =
  35. 35.What is the value of 5⁴ × 5⁻⁴? =
  36. 36.What is the value of 7⁴? =
  37. 37.What is the value of 6⁵? =
  38. 38.What is the value of 9⁵? =
  39. 39.Write 8⁸ ÷ 8⁵ as a single power 8ⁿ. What is n?
  40. 40.What is the value of 3⁸? =

Answer key

  1. 10
  2. 13
  3. 9
  4. 64/49
  5. 4096
  6. 0.078
  7. 590
  8. 1/256
  9. 28
  10. 7
  11. 0.076
  12. 0.00077
  13. 0.00025
  14. 243
  15. 81
  16. 1/343
  17. 6
  18. 30
  19. 15
  20. 20
  21. 12
  22. 7
  23. 1/5
  24. 128
  25. 0.0008
  26. 0.16
  27. 1/4
  28. 81
  29. 330000
  30. 5
  31. 0.042
  32. 910
  33. 0.0003
  34. 1/3
  35. 1
  36. 2401
  37. 7776
  38. 59049
  39. 3
  40. 6561

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