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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 8 · 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 5⁴? =
  2. 2.3.5 × 10² =
  3. 3.Write 9 × 10⁻¹ as a decimal. =
  4. 4.Write 7.2 × 10⁻¹ as a decimal. =
  5. 5.Write 6¹³ ÷ 6⁵ as a single power 6ⁿ. What is n?
  6. 6.What is the value of 2¹¹? =
  7. 7.2.5 × 10² =
  8. 8.What is the value of 10³? =
  9. 9.What is the value of 10⁶ × 10⁻⁵? =
  10. 10.What is the value of 7⁴? =
  11. 11.2 × 10³ =
  12. 12.Write (5⁶)³ as a single power 5ⁿ. What is n?
  13. 13.What is the value of 2¹ × 2⁻⁴? =
  14. 14.What is the value of (3/4)⁻¹? =
  15. 15.Write 5,20,00,000 in standard form as 5.2 × 10ⁿ. What is n?
  16. 16.What is the value of 10² × 10⁻¹? =
  17. 17.What is the value of 5⁻² (as a fraction)? =
  18. 18.Write 6.1 × 10⁻¹ as a decimal. =
  19. 19.Write 920 in standard form as 9.2 × 10ⁿ. What is n?
  20. 20.What is the value of 10⁻² (as a fraction)? =
  21. 21.What is the value of (7/8)⁻²? =
  22. 22.Write 5⁸ × 5⁵ as a single power 5ⁿ. What is n?
  23. 23.Write 3³ × 3⁴ as a single power 3ⁿ. What is n?
  24. 24.Write 8¹¹ ÷ 8⁴ as a single power 8ⁿ. What is n?
  25. 25.Write 7.7 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 3² × 3⁻⁶? =
  27. 27.What is the value of 10² × 10⁻³? =
  28. 28.What is the value of 3⁶ × 3⁻⁶? =
  29. 29.Write 290 in standard form as 2.9 × 10ⁿ. What is n?
  30. 30.What is the value of (2/9)⁻²? =
  31. 31.Write (5³)⁷ as a single power 5ⁿ. What is n?
  32. 32.What is the value of 7³? =
  33. 33.Write 7⁸ × 7⁵ as a single power 7ⁿ. What is n?
  34. 34.What is the value of 10³ × 10⁻⁶? =
  35. 35.What is the value of 5⁶ × 5⁻⁶? =
  36. 36.What is the value of 3¹ × 3⁻⁵? =
  37. 37.Write 9.9 × 10⁻² as a decimal. =
  38. 38.What is the value of (2/5)⁻²? =
  39. 39.What is the value of 10¹ × 10⁻¹? =
  40. 40.What is the value of 3² × 3⁻⁵? =

Answer key

  1. 625
  2. 350
  3. 0.9
  4. 0.72
  5. 8
  6. 2048
  7. 250
  8. 1000
  9. 10
  10. 2401
  11. 2000
  12. 18
  13. 1/8
  14. 4/3
  15. 7
  16. 10
  17. 1/25
  18. 0.61
  19. 2
  20. 1/100
  21. 64/49
  22. 13
  23. 7
  24. 7
  25. 0.00077
  26. 1/81
  27. 1/10
  28. 1
  29. 2
  30. 81/4
  31. 21
  32. 343
  33. 13
  34. 1/1000
  35. 1
  36. 1/81
  37. 0.099
  38. 25/4
  39. 1
  40. 1/27

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