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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 736 · 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.Write 1,10,000 in standard form as 1.1 × 10ⁿ. What is n?
  2. 2.Write (8⁶)⁶ as a single power 8ⁿ. What is n?
  3. 3.What is the value of 2⁵? =
  4. 4.What is the value of 10³? =
  5. 5.Write 7,30,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  6. 6.Write 8 × 10⁻¹ as a decimal. =
  7. 7.Write (3⁴)⁸ as a single power 3ⁿ. What is n?
  8. 8.Write 1,50,000 in standard form as 1.5 × 10ⁿ. What is n?
  9. 9.Write (9⁵)⁶ as a single power 9ⁿ. What is n?
  10. 10.Write 8⁵ × 8⁶ as a single power 8ⁿ. What is n?
  11. 11.Write 3,50,000 in standard form as 3.5 × 10ⁿ. What is n?
  12. 12.Write 1.7 × 10⁻³ as a decimal. =
  13. 13.What is the value of 2¹²? =
  14. 14.What is the value of 6⁻² (as a fraction)? =
  15. 15.Write (4²)³ as a single power 4ⁿ. What is n?
  16. 16.Write 7,20,000 in standard form as 7.2 × 10ⁿ. What is n?
  17. 17.Write (5³)⁹ as a single power 5ⁿ. What is n?
  18. 18.What is the value of 2⁻² (as a fraction)? =
  19. 19.8.6 × 10⁴ =
  20. 20.Write 3.5 × 10⁻³ as a decimal. =
  21. 21.6.7 × 10⁶ =
  22. 22.What is the value of 7²? =
  23. 23.What is the value of (8/9)⁻¹? =
  24. 24.5.8 × 10⁷ =
  25. 25.What is the value of 3²? =
  26. 26.What is the value of 2²? =
  27. 27.Write 15,00,000 in standard form as 1.5 × 10ⁿ. What is n?
  28. 28.What is the value of 2¹⁶? =
  29. 29.Write 1.9 × 10⁻² as a decimal. =
  30. 30.Write (5⁷)⁶ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 2³ × 2⁻⁵? =
  32. 32.What is the value of 8⁵? =
  33. 33.1.9 × 10³ =
  34. 34.What is the value of 10⁵ × 10⁻²? =
  35. 35.Write 6,00,00,000 in standard form as 6 × 10ⁿ. What is n?
  36. 36.Write 4⁹ ÷ 4³ as a single power 4ⁿ. What is n?
  37. 37.9.2 × 10⁶ =
  38. 38.What is the value of 3⁷? =
  39. 39.Write 4 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 2⁵ × 2⁻²? =

Answer key

  1. 5
  2. 36
  3. 32
  4. 1000
  5. 7
  6. 0.8
  7. 32
  8. 5
  9. 30
  10. 11
  11. 5
  12. 0.0017
  13. 4096
  14. 1/36
  15. 6
  16. 5
  17. 27
  18. 1/4
  19. 86000
  20. 0.0035
  21. 6700000
  22. 49
  23. 9/8
  24. 58000000
  25. 9
  26. 4
  27. 6
  28. 65536
  29. 0.019
  30. 42
  31. 1/4
  32. 32768
  33. 1900
  34. 1000
  35. 7
  36. 6
  37. 9200000
  38. 2187
  39. 0.0004
  40. 8

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