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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 251 · 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 4³? =
  2. 2.What is the value of 5² × 5⁻⁴? =
  3. 3.What is the value of 2¹¹? =
  4. 4.Write 67,000 in standard form as 6.7 × 10ⁿ. What is n?
  5. 5.What is the value of 2⁻⁸ (as a fraction)? =
  6. 6.Write 7¹⁷ ÷ 7⁹ as a single power 7ⁿ. What is n?
  7. 7.Write 2¹⁴ ÷ 2⁵ as a single power 2ⁿ. What is n?
  8. 8.6.9 × 10⁷ =
  9. 9.What is the value of 9³? =
  10. 10.Write (6⁵)³ as a single power 6ⁿ. What is n?
  11. 11.Write 8.1 × 10⁻² as a decimal. =
  12. 12.Write 9,800 in standard form as 9.8 × 10ⁿ. What is n?
  13. 13.Write 2.2 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 4⁶? =
  15. 15.What is the value of 10¹ × 10⁻³? =
  16. 16.What is the value of (1/8)⁻¹? =
  17. 17.What is the value of 10⁻² (as a fraction)? =
  18. 18.What is the value of (7/9)⁻²? =
  19. 19.Write 5¹³ ÷ 5⁸ as a single power 5ⁿ. What is n?
  20. 20.What is the value of 3³? =
  21. 21.Write 8¹⁰ ÷ 8⁵ as a single power 8ⁿ. What is n?
  22. 22.Write 1.3 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 9²? =
  24. 24.Write 2⁶ × 2² as a single power 2ⁿ. What is n?
  25. 25.Write 3.7 × 10⁻² as a decimal. =
  26. 26.Write 62,00,000 in standard form as 6.2 × 10ⁿ. What is n?
  27. 27.Write 3⁴ × 3⁶ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 5¹ × 5⁻²? =
  29. 29.Write 9,90,000 in standard form as 9.9 × 10ⁿ. What is n?
  30. 30.7.8 × 10⁷ =
  31. 31.What is the value of 2⁶ × 2⁻²? =
  32. 32.Write 6⁷ × 6³ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 5³ × 5⁻²? =
  34. 34.What is the value of (3/4)⁻¹? =
  35. 35.5.5 × 10⁵ =
  36. 36.What is the value of 2⁻³ (as a fraction)? =
  37. 37.Write 7¹³ ÷ 7⁴ as a single power 7ⁿ. What is n?
  38. 38.Write (8²)³ as a single power 8ⁿ. What is n?
  39. 39.What is the value of 2¹ × 2⁻¹? =
  40. 40.What is the value of 5⁴ × 5⁻¹? =

Answer key

  1. 64
  2. 1/25
  3. 2048
  4. 4
  5. 1/256
  6. 8
  7. 9
  8. 69000000
  9. 729
  10. 15
  11. 0.081
  12. 3
  13. 0.22
  14. 4096
  15. 1/100
  16. 8
  17. 1/100
  18. 81/49
  19. 5
  20. 27
  21. 5
  22. 0.13
  23. 81
  24. 8
  25. 0.037
  26. 6
  27. 10
  28. 1/5
  29. 5
  30. 78000000
  31. 16
  32. 10
  33. 5
  34. 4/3
  35. 550000
  36. 1/8
  37. 9
  38. 6
  39. 1
  40. 125

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