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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 778 · 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. 1.9.7 × 10⁵ =
  2. 2.What is the value of 9³? =
  3. 3.What is the value of 9⁻³ (as a fraction)? =
  4. 4.Write 2² × 2² as a single power 2ⁿ. What is n?
  5. 5.3.4 × 10⁷ =
  6. 6.What is the value of 6⁻¹ (as a fraction)? =
  7. 7.What is the value of 4²? =
  8. 8.Write 3⁴ × 3⁸ as a single power 3ⁿ. What is n?
  9. 9.What is the value of 10⁻³ (as a fraction)? =
  10. 10.Write 7,20,000 in standard form as 7.2 × 10ⁿ. What is n?
  11. 11.What is the value of 5² × 5⁻¹? =
  12. 12.Write 2⁴ × 2⁵ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 2⁶ × 2⁻¹? =
  14. 14.What is the value of 2⁻² (as a fraction)? =
  15. 15.Write 6,100 in standard form as 6.1 × 10ⁿ. What is n?
  16. 16.Write 2,80,000 in standard form as 2.8 × 10ⁿ. What is n?
  17. 17.Write 2.7 × 10⁻³ as a decimal. =
  18. 18.Write 4¹³ ÷ 4⁸ as a single power 4ⁿ. What is n?
  19. 19.What is the value of 10⁻¹ (as a fraction)? =
  20. 20.What is the value of 3⁻⁶ (as a fraction)? =
  21. 21.What is the value of 5¹ × 5⁻⁵? =
  22. 22.What is the value of 2⁻⁷ (as a fraction)? =
  23. 23.What is the value of 4⁸? =
  24. 24.Write 1.4 × 10⁻³ as a decimal. =
  25. 25.Write 5,500 in standard form as 5.5 × 10ⁿ. What is n?
  26. 26.Write 8⁵ ÷ 8² as a single power 8ⁿ. What is n?
  27. 27.Write 3.7 × 10⁻² as a decimal. =
  28. 28.Write 3.4 × 10⁻³ as a decimal. =
  29. 29.What is the value of 7⁴? =
  30. 30.Write 1,400 in standard form as 1.4 × 10ⁿ. What is n?
  31. 31.What is the value of 2⁵ × 2⁻¹? =
  32. 32.What is the value of 9⁴? =
  33. 33.Write 5² × 5⁶ as a single power 5ⁿ. What is n?
  34. 34.What is the value of 10⁶ × 10⁻⁴? =
  35. 35.Write 7⁹ × 7⁴ as a single power 7ⁿ. What is n?
  36. 36.Write 6,800 in standard form as 6.8 × 10ⁿ. What is n?
  37. 37.Write 5⁷ × 5³ as a single power 5ⁿ. What is n?
  38. 38.1.8 × 10² =
  39. 39.What is the value of 5⁶? =
  40. 40.Write 2⁷ × 2⁷ as a single power 2ⁿ. What is n?

Answer key

  1. 970000
  2. 729
  3. 1/729
  4. 4
  5. 34000000
  6. 1/6
  7. 16
  8. 12
  9. 1/1000
  10. 5
  11. 5
  12. 9
  13. 32
  14. 1/4
  15. 3
  16. 5
  17. 0.0027
  18. 5
  19. 1/10
  20. 1/729
  21. 1/625
  22. 1/128
  23. 65536
  24. 0.0014
  25. 3
  26. 3
  27. 0.037
  28. 0.0034
  29. 2401
  30. 3
  31. 16
  32. 6561
  33. 8
  34. 100
  35. 13
  36. 3
  37. 10
  38. 180
  39. 15625
  40. 14

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