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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 702 · 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.What is the value of 2¹¹? =
  2. 2.Write 7 × 10⁻² as a decimal. =
  3. 3.What is the value of 2⁴ × 2⁻⁶? =
  4. 4.What is the value of 3⁶ × 3⁻⁴? =
  5. 5.Write 6.1 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 2⁵ × 2⁻⁶? =
  7. 7.What is the value of 10⁵? =
  8. 8.8.8 × 10⁷ =
  9. 9.Write 43,00,000 in standard form as 4.3 × 10ⁿ. What is n?
  10. 10.Write 4¹⁰ ÷ 4⁷ as a single power 4ⁿ. What is n?
  11. 11.Write (6⁶)⁹ as a single power 6ⁿ. What is n?
  12. 12.Write 8.7 × 10⁻² as a decimal. =
  13. 13.Write 73,000 in standard form as 7.3 × 10ⁿ. What is n?
  14. 14.Write 8.3 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 2¹⁵? =
  16. 16.Write 1,80,000 in standard form as 1.8 × 10ⁿ. What is n?
  17. 17.Write (8²)³ as a single power 8ⁿ. What is n?
  18. 18.Write 6¹⁶ ÷ 6⁹ as a single power 6ⁿ. What is n?
  19. 19.6.4 × 10⁶ =
  20. 20.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  21. 21.What is the value of 4⁸? =
  22. 22.Write 5.2 × 10⁻² as a decimal. =
  23. 23.Write 7.5 × 10⁻¹ as a decimal. =
  24. 24.Write 5⁴ ÷ 5² as a single power 5ⁿ. What is n?
  25. 25.Write 7⁶ ÷ 7³ as a single power 7ⁿ. What is n?
  26. 26.What is the value of 10⁴? =
  27. 27.What is the value of (4/9)⁻¹? =
  28. 28.Write 7,20,00,000 in standard form as 7.2 × 10ⁿ. What is n?
  29. 29.Write 1.7 × 10⁻³ as a decimal. =
  30. 30.What is the value of 2¹³? =
  31. 31.Write 5,100 in standard form as 5.1 × 10ⁿ. What is n?
  32. 32.Write 5,10,00,000 in standard form as 5.1 × 10ⁿ. What is n?
  33. 33.Write (3⁶)⁶ as a single power 3ⁿ. What is n?
  34. 34.Write (8⁴)² as a single power 8ⁿ. What is n?
  35. 35.What is the value of (3/5)⁻¹? =
  36. 36.Write (9⁷)⁸ as a single power 9ⁿ. What is n?
  37. 37.4.4 × 10⁴ =
  38. 38.4.6 × 10³ =
  39. 39.Write 8.7 × 10⁻³ as a decimal. =
  40. 40.Write 5.8 × 10⁻² as a decimal. =

Answer key

  1. 2048
  2. 0.07
  3. 1/4
  4. 9
  5. 0.00061
  6. 1/2
  7. 100000
  8. 88000000
  9. 6
  10. 3
  11. 54
  12. 0.087
  13. 4
  14. 0.83
  15. 32768
  16. 5
  17. 6
  18. 7
  19. 6400000
  20. 7
  21. 65536
  22. 0.052
  23. 0.75
  24. 2
  25. 3
  26. 10000
  27. 9/4
  28. 7
  29. 0.0017
  30. 8192
  31. 3
  32. 7
  33. 36
  34. 8
  35. 5/3
  36. 56
  37. 44000
  38. 4600
  39. 0.0087
  40. 0.058

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