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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 383 · 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 5,500 in standard form as 5.5 × 10ⁿ. What is n?
  2. 2.Write 7,70,00,000 in standard form as 7.7 × 10ⁿ. What is n?
  3. 3.Write 2.3 × 10⁻¹ as a decimal. =
  4. 4.Write (7⁹)⁶ as a single power 7ⁿ. What is n?
  5. 5.What is the value of 8²? =
  6. 6.What is the value of (2/5)⁻²? =
  7. 7.What is the value of (7/8)⁻²? =
  8. 8.Write 9,00,00,000 in standard form as 9 × 10ⁿ. What is n?
  9. 9.What is the value of 4⁴? =
  10. 10.Write 9,100 in standard form as 9.1 × 10ⁿ. What is n?
  11. 11.Write 1,60,000 in standard form as 1.6 × 10ⁿ. What is n?
  12. 12.What is the value of 10³ × 10⁻²? =
  13. 13.What is the value of 2⁵? =
  14. 14.What is the value of 6⁵? =
  15. 15.3.1 × 10² =
  16. 16.What is the value of 3² × 3⁻³? =
  17. 17.Write 4⁵ × 4³ as a single power 4ⁿ. What is n?
  18. 18.Write 7⁸ × 7⁶ as a single power 7ⁿ. What is n?
  19. 19.Write 3,800 in standard form as 3.8 × 10ⁿ. What is n?
  20. 20.4.9 × 10⁴ =
  21. 21.What is the value of 4⁻³ (as a fraction)? =
  22. 22.What is the value of 5²? =
  23. 23.2.4 × 10⁶ =
  24. 24.What is the value of 3⁵? =
  25. 25.What is the value of 10⁶ × 10⁻⁵? =
  26. 26.9.9 × 10⁴ =
  27. 27.What is the value of 2² × 2⁻³? =
  28. 28.Write 3⁸ ÷ 3³ as a single power 3ⁿ. What is n?
  29. 29.What is the value of 8⁻¹ (as a fraction)? =
  30. 30.What is the value of 8⁻² (as a fraction)? =
  31. 31.What is the value of 3¹ × 3⁻⁴? =
  32. 32.What is the value of 7⁻¹ (as a fraction)? =
  33. 33.9.9 × 10⁷ =
  34. 34.Write 2⁸ × 2⁵ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 3² × 3⁻⁵? =
  36. 36.Write 9⁵ ÷ 9² as a single power 9ⁿ. What is n?
  37. 37.What is the value of (7/8)⁻¹? =
  38. 38.6.4 × 10⁶ =
  39. 39.9.6 × 10² =
  40. 40.What is the value of 3⁻⁵ (as a fraction)? =

Answer key

  1. 3
  2. 7
  3. 0.23
  4. 54
  5. 64
  6. 25/4
  7. 64/49
  8. 7
  9. 256
  10. 3
  11. 5
  12. 10
  13. 32
  14. 7776
  15. 310
  16. 1/3
  17. 8
  18. 14
  19. 3
  20. 49000
  21. 1/64
  22. 25
  23. 2400000
  24. 243
  25. 10
  26. 99000
  27. 1/2
  28. 5
  29. 1/8
  30. 1/64
  31. 1/27
  32. 1/7
  33. 99000000
  34. 13
  35. 1/27
  36. 3
  37. 8/7
  38. 6400000
  39. 960
  40. 1/243

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