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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 182 · 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 4⁻³ (as a fraction)? =
  2. 2.8.6 × 10⁴ =
  3. 3.Write 5² × 5⁴ as a single power 5ⁿ. What is n?
  4. 4.What is the value of (1/8)⁻¹? =
  5. 5.8.5 × 10³ =
  6. 6.Write 3,800 in standard form as 3.8 × 10ⁿ. What is n?
  7. 7.What is the value of 2⁻⁷ (as a fraction)? =
  8. 8.6 × 10⁵ =
  9. 9.What is the value of 6⁴? =
  10. 10.Write 9.2 × 10⁻⁴ as a decimal. =
  11. 11.3.7 × 10⁵ =
  12. 12.What is the value of 5⁷? =
  13. 13.What is the value of 10⁵? =
  14. 14.2.6 × 10² =
  15. 15.Write 5¹⁷ ÷ 5⁸ as a single power 5ⁿ. What is n?
  16. 16.Write 5⁷ ÷ 5³ as a single power 5ⁿ. What is n?
  17. 17.What is the value of (1/9)⁻²? =
  18. 18.What is the value of 2⁴ × 2⁻³? =
  19. 19.What is the value of 2² × 2⁻²? =
  20. 20.What is the value of 9⁴? =
  21. 21.Write (6⁶)³ as a single power 6ⁿ. What is n?
  22. 22.Write (4⁸)² as a single power 4ⁿ. What is n?
  23. 23.What is the value of 3⁻³ (as a fraction)? =
  24. 24.Write (9⁸)³ as a single power 9ⁿ. What is n?
  25. 25.What is the value of 8³? =
  26. 26.Write 2¹³ ÷ 2⁵ as a single power 2ⁿ. What is n?
  27. 27.What is the value of 5⁵? =
  28. 28.Write (7⁴)⁹ as a single power 7ⁿ. What is n?
  29. 29.What is the value of (2/9)⁻¹? =
  30. 30.9.1 × 10⁴ =
  31. 31.Write 8⁵ × 8⁸ as a single power 8ⁿ. What is n?
  32. 32.What is the value of (3/5)⁻¹? =
  33. 33.Write 5.3 × 10⁻¹ as a decimal. =
  34. 34.4.3 × 10² =
  35. 35.Write (3³)⁹ as a single power 3ⁿ. What is n?
  36. 36.Write (6³)⁵ as a single power 6ⁿ. What is n?
  37. 37.6.7 × 10² =
  38. 38.Write 3.3 × 10⁻¹ as a decimal. =
  39. 39.Write 93,000 in standard form as 9.3 × 10ⁿ. What is n?
  40. 40.What is the value of 5⁶? =

Answer key

  1. 1/64
  2. 86000
  3. 6
  4. 8
  5. 8500
  6. 3
  7. 1/128
  8. 600000
  9. 1296
  10. 0.00092
  11. 370000
  12. 78125
  13. 100000
  14. 260
  15. 9
  16. 4
  17. 81
  18. 2
  19. 1
  20. 6561
  21. 18
  22. 16
  23. 1/27
  24. 24
  25. 512
  26. 8
  27. 3125
  28. 36
  29. 9/2
  30. 91000
  31. 13
  32. 5/3
  33. 0.53
  34. 430
  35. 27
  36. 15
  37. 670
  38. 0.33
  39. 4
  40. 15625

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