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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 204 · 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 4¹³ ÷ 4⁵ as a single power 4ⁿ. What is n?
  2. 2.What is the value of 8²? =
  3. 3.What is the value of (5/9)⁻²? =
  4. 4.What is the value of 3³? =
  5. 5.Write 63,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  6. 6.Write 4² × 4⁸ as a single power 4ⁿ. What is n?
  7. 7.Write (3⁴)² as a single power 3ⁿ. What is n?
  8. 8.What is the value of 8⁻² (as a fraction)? =
  9. 9.Write 9,900 in standard form as 9.9 × 10ⁿ. What is n?
  10. 10.Write (8⁸)⁶ as a single power 8ⁿ. What is n?
  11. 11.Write (7⁴)⁷ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 5⁴ × 5⁻⁴? =
  13. 13.Write 2² × 2⁷ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 10³ × 10⁻¹? =
  15. 15.What is the value of 7⁻² (as a fraction)? =
  16. 16.What is the value of 4⁶? =
  17. 17.Write 6.5 × 10⁻⁴ as a decimal. =
  18. 18.4.8 × 10³ =
  19. 19.What is the value of 3⁵ × 3⁻²? =
  20. 20.What is the value of 2⁻⁸ (as a fraction)? =
  21. 21.What is the value of 10⁵ × 10⁻³? =
  22. 22.Write 2.9 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 8⁻³ (as a fraction)? =
  24. 24.What is the value of 5⁵? =
  25. 25.Write 4³ × 4⁹ as a single power 4ⁿ. What is n?
  26. 26.What is the value of 5⁷? =
  27. 27.Write 5¹⁵ ÷ 5⁸ as a single power 5ⁿ. What is n?
  28. 28.What is the value of (5/8)⁻¹? =
  29. 29.Write 4,60,000 in standard form as 4.6 × 10ⁿ. What is n?
  30. 30.Write 9.4 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 4⁷? =
  32. 32.Write 8⁵ ÷ 8³ as a single power 8ⁿ. What is n?
  33. 33.Write (7⁶)⁷ as a single power 7ⁿ. What is n?
  34. 34.What is the value of 6⁻¹ (as a fraction)? =
  35. 35.Write 2⁶ × 2⁷ as a single power 2ⁿ. What is n?
  36. 36.Write (9²)⁶ as a single power 9ⁿ. What is n?
  37. 37.What is the value of 6³? =
  38. 38.What is the value of 10⁵? =
  39. 39.What is the value of (4/9)⁻¹? =
  40. 40.1.4 × 10⁴ =

Answer key

  1. 8
  2. 64
  3. 81/25
  4. 27
  5. 6
  6. 10
  7. 8
  8. 1/64
  9. 3
  10. 48
  11. 28
  12. 1
  13. 9
  14. 100
  15. 1/49
  16. 4096
  17. 0.00065
  18. 4800
  19. 27
  20. 1/256
  21. 100
  22. 0.29
  23. 1/512
  24. 3125
  25. 12
  26. 78125
  27. 7
  28. 8/5
  29. 5
  30. 0.00094
  31. 16384
  32. 2
  33. 42
  34. 1/6
  35. 13
  36. 12
  37. 216
  38. 100000
  39. 9/4
  40. 14000

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