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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 995 · 40 sums
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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 × 10⁴ =
  2. 2.Write 5⁹ × 5⁵ as a single power 5ⁿ. What is n?
  3. 3.What is the value of 2⁵ × 2⁻³? =
  4. 4.What is the value of 3² × 3⁻³? =
  5. 5.Write 1.3 × 10⁻¹ as a decimal. =
  6. 6.Write (5⁹)⁶ as a single power 5ⁿ. What is n?
  7. 7.Write 5⁸ × 5⁶ as a single power 5ⁿ. What is n?
  8. 8.Write (7⁷)⁴ as a single power 7ⁿ. What is n?
  9. 9.Write 4¹⁰ ÷ 4⁸ as a single power 4ⁿ. What is n?
  10. 10.What is the value of (1/7)⁻¹? =
  11. 11.What is the value of 2⁶ × 2⁻⁶? =
  12. 12.Write 2.2 × 10⁻² as a decimal. =
  13. 13.What is the value of 10⁶ × 10⁻³? =
  14. 14.What is the value of 3³ × 3⁻⁶? =
  15. 15.What is the value of 4⁷? =
  16. 16.Write (5⁶)⁷ as a single power 5ⁿ. What is n?
  17. 17.What is the value of 10³ × 10⁻⁶? =
  18. 18.Write 8,30,00,000 in standard form as 8.3 × 10ⁿ. What is n?
  19. 19.2.7 × 10⁴ =
  20. 20.What is the value of 10¹ × 10⁻¹? =
  21. 21.Write 7,300 in standard form as 7.3 × 10ⁿ. What is n?
  22. 22.Write 6.8 × 10⁻⁴ as a decimal. =
  23. 23.Write (9³)² as a single power 9ⁿ. What is n?
  24. 24.What is the value of (6/7)⁻¹? =
  25. 25.What is the value of 2⁶? =
  26. 26.Write 70,000 in standard form as 7 × 10ⁿ. What is n?
  27. 27.What is the value of 2⁻⁵ (as a fraction)? =
  28. 28.Write 8¹³ ÷ 8⁹ as a single power 8ⁿ. What is n?
  29. 29.What is the value of 5² × 5⁻²? =
  30. 30.What is the value of 5⁶? =
  31. 31.What is the value of 3² × 3⁻⁵? =
  32. 32.Write 7² × 7⁶ as a single power 7ⁿ. What is n?
  33. 33.Write 8⁹ × 8³ as a single power 8ⁿ. What is n?
  34. 34.What is the value of (3/4)⁻²? =
  35. 35.Write 1.6 × 10⁻³ as a decimal. =
  36. 36.Write 2.2 × 10⁻³ as a decimal. =
  37. 37.Write 9¹¹ ÷ 9⁶ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 2³? =
  39. 39.Write 390 in standard form as 3.9 × 10ⁿ. What is n?
  40. 40.What is the value of 10⁵? =

Answer key

  1. 90000
  2. 14
  3. 4
  4. 1/3
  5. 0.13
  6. 54
  7. 14
  8. 28
  9. 2
  10. 7
  11. 1
  12. 0.022
  13. 1000
  14. 1/27
  15. 16384
  16. 42
  17. 1/1000
  18. 7
  19. 27000
  20. 1
  21. 3
  22. 0.00068
  23. 6
  24. 7/6
  25. 64
  26. 4
  27. 1/32
  28. 4
  29. 1
  30. 15625
  31. 1/27
  32. 8
  33. 12
  34. 16/9
  35. 0.0016
  36. 0.0022
  37. 5
  38. 8
  39. 2
  40. 100000

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