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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 441 · 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.What is the value of (4/9)⁻²? =
  3. 3.What is the value of 5⁶ × 5⁻⁵? =
  4. 4.What is the value of 10⁻² (as a fraction)? =
  5. 5.What is the value of 5² × 5⁻⁵? =
  6. 6.What is the value of 5⁶ × 5⁻⁴? =
  7. 7.What is the value of (6/7)⁻¹? =
  8. 8.Write 5¹⁴ ÷ 5⁶ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 3³ × 3⁻⁵? =
  10. 10.Write (4⁴)⁵ as a single power 4ⁿ. What is n?
  11. 11.What is the value of 10⁵? =
  12. 12.4.7 × 10⁶ =
  13. 13.Write 3⁴ × 3⁶ as a single power 3ⁿ. What is n?
  14. 14.Write (8³)⁹ as a single power 8ⁿ. What is n?
  15. 15.What is the value of 10² × 10⁻⁴? =
  16. 16.Write 9¹¹ ÷ 9⁴ as a single power 9ⁿ. What is n?
  17. 17.What is the value of 4⁴? =
  18. 18.What is the value of 6³? =
  19. 19.Write (8⁴)⁴ as a single power 8ⁿ. What is n?
  20. 20.What is the value of 2⁴ × 2⁻¹? =
  21. 21.What is the value of 2⁻³ (as a fraction)? =
  22. 22.What is the value of 10³? =
  23. 23.7.7 × 10⁷ =
  24. 24.Write 8,30,00,000 in standard form as 8.3 × 10ⁿ. What is n?
  25. 25.7.2 × 10³ =
  26. 26.4.2 × 10⁶ =
  27. 27.What is the value of 10⁴ × 10⁻⁴? =
  28. 28.What is the value of 7²? =
  29. 29.Write 7⁸ × 7⁷ as a single power 7ⁿ. What is n?
  30. 30.Write (9⁸)⁸ as a single power 9ⁿ. What is n?
  31. 31.Write 3¹² ÷ 3³ as a single power 3ⁿ. What is n?
  32. 32.Write 3,30,00,000 in standard form as 3.3 × 10ⁿ. What is n?
  33. 33.Write 2,30,000 in standard form as 2.3 × 10ⁿ. What is n?
  34. 34.What is the value of (4/9)⁻¹? =
  35. 35.Write 3⁷ ÷ 3² as a single power 3ⁿ. What is n?
  36. 36.What is the value of 4⁻² (as a fraction)? =
  37. 37.What is the value of (2/9)⁻²? =
  38. 38.What is the value of 8⁻¹ (as a fraction)? =
  39. 39.What is the value of 9³? =
  40. 40.Write 2² × 2⁸ as a single power 2ⁿ. What is n?

Answer key

  1. 625
  2. 81/16
  3. 5
  4. 1/100
  5. 1/125
  6. 25
  7. 7/6
  8. 8
  9. 1/9
  10. 20
  11. 100000
  12. 4700000
  13. 10
  14. 27
  15. 1/100
  16. 7
  17. 256
  18. 216
  19. 16
  20. 8
  21. 1/8
  22. 1000
  23. 77000000
  24. 7
  25. 7200
  26. 4200000
  27. 1
  28. 49
  29. 15
  30. 64
  31. 9
  32. 7
  33. 5
  34. 9/4
  35. 5
  36. 1/16
  37. 81/4
  38. 1/8
  39. 729
  40. 10

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