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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 483 · 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. 1.1.7 × 10³ =
  2. 2.Write 2⁸ × 2⁹ as a single power 2ⁿ. What is n?
  3. 3.What is the value of 3⁻¹ (as a fraction)? =
  4. 4.What is the value of 5⁻⁴ (as a fraction)? =
  5. 5.6.2 × 10⁵ =
  6. 6.Write 2.6 × 10⁻² as a decimal. =
  7. 7.What is the value of 6⁵? =
  8. 8.2.3 × 10² =
  9. 9.Write 9⁵ × 9⁵ as a single power 9ⁿ. What is n?
  10. 10.What is the value of (1/4)⁻¹? =
  11. 11.What is the value of 9²? =
  12. 12.Write 9⁵ × 9⁹ as a single power 9ⁿ. What is n?
  13. 13.What is the value of 3⁷? =
  14. 14.What is the value of 10⁵ × 10⁻⁵? =
  15. 15.Write 4.9 × 10⁻³ as a decimal. =
  16. 16.Write 9¹² ÷ 9³ as a single power 9ⁿ. What is n?
  17. 17.What is the value of 3² × 3⁻²? =
  18. 18.What is the value of 2⁻⁷ (as a fraction)? =
  19. 19.Write 3,700 in standard form as 3.7 × 10ⁿ. What is n?
  20. 20.What is the value of 2⁵ × 2⁻⁶? =
  21. 21.What is the value of 5⁻² (as a fraction)? =
  22. 22.What is the value of 5⁴ × 5⁻⁴? =
  23. 23.What is the value of 5⁵ × 5⁻⁵? =
  24. 24.What is the value of 7²? =
  25. 25.What is the value of (1/9)⁻¹? =
  26. 26.2.6 × 10⁷ =
  27. 27.What is the value of 2²? =
  28. 28.Write 8.9 × 10⁻³ as a decimal. =
  29. 29.Write 5,20,00,000 in standard form as 5.2 × 10ⁿ. What is n?
  30. 30.What is the value of (5/8)⁻¹? =
  31. 31.Write 5.8 × 10⁻¹ as a decimal. =
  32. 32.Write 2.7 × 10⁻¹ as a decimal. =
  33. 33.Write 4⁹ × 4⁶ as a single power 4ⁿ. What is n?
  34. 34.Write 3³ × 3⁵ as a single power 3ⁿ. What is n?
  35. 35.Write 8.7 × 10⁻³ as a decimal. =
  36. 36.What is the value of 5²? =
  37. 37.What is the value of 2¹⁵? =
  38. 38.Write 6¹² ÷ 6⁴ as a single power 6ⁿ. What is n?
  39. 39.What is the value of (2/3)⁻¹? =
  40. 40.What is the value of 5⁷? =

Answer key

  1. 1700
  2. 17
  3. 1/3
  4. 1/625
  5. 620000
  6. 0.026
  7. 7776
  8. 230
  9. 10
  10. 4
  11. 81
  12. 14
  13. 2187
  14. 1
  15. 0.0049
  16. 9
  17. 1
  18. 1/128
  19. 3
  20. 1/2
  21. 1/25
  22. 1
  23. 1
  24. 49
  25. 9
  26. 26000000
  27. 4
  28. 0.0089
  29. 7
  30. 8/5
  31. 0.58
  32. 0.27
  33. 15
  34. 8
  35. 0.0087
  36. 25
  37. 32768
  38. 8
  39. 3/2
  40. 78125

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