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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 706 · 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 3⁷? =
  2. 2.Write 7.3 × 10⁻⁴ as a decimal. =
  3. 3.Write (8⁹)⁵ as a single power 8ⁿ. What is n?
  4. 4.Write 7,400 in standard form as 7.4 × 10ⁿ. What is n?
  5. 5.Write 7.9 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 5¹ × 5⁻²? =
  7. 7.What is the value of 3⁻¹ (as a fraction)? =
  8. 8.Write 9⁶ × 9³ as a single power 9ⁿ. What is n?
  9. 9.What is the value of (3/5)⁻¹? =
  10. 10.2.4 × 10³ =
  11. 11.Write (7⁴)³ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 10¹ × 10⁻⁵? =
  13. 13.What is the value of 3⁵? =
  14. 14.Write 6.7 × 10⁻⁴ as a decimal. =
  15. 15.What is the value of 2⁵ × 2⁻³? =
  16. 16.What is the value of 2² × 2⁻¹? =
  17. 17.What is the value of 3⁻² (as a fraction)? =
  18. 18.Write 1.3 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 2⁻⁹ (as a fraction)? =
  20. 20.Write 2⁷ × 2⁵ as a single power 2ⁿ. What is n?
  21. 21.Write 9⁹ × 9⁵ as a single power 9ⁿ. What is n?
  22. 22.8.9 × 10⁷ =
  23. 23.Write 3¹² ÷ 3⁵ as a single power 3ⁿ. What is n?
  24. 24.Write 9.9 × 10⁻³ as a decimal. =
  25. 25.Write 8.3 × 10⁻³ as a decimal. =
  26. 26.What is the value of 2⁻⁴ (as a fraction)? =
  27. 27.What is the value of 5¹ × 5⁻¹? =
  28. 28.What is the value of (1/6)⁻¹? =
  29. 29.What is the value of 4⁶? =
  30. 30.5 × 10² =
  31. 31.Write 9² × 9⁵ as a single power 9ⁿ. What is n?
  32. 32.What is the value of 3³ × 3⁻⁵? =
  33. 33.What is the value of 3⁸? =
  34. 34.What is the value of 2⁻⁷ (as a fraction)? =
  35. 35.2.2 × 10⁷ =
  36. 36.What is the value of 2¹³? =
  37. 37.What is the value of 10¹ × 10⁻⁶? =
  38. 38.Write 9⁹ × 9³ as a single power 9ⁿ. What is n?
  39. 39.What is the value of 6⁵? =
  40. 40.Write 2,70,000 in standard form as 2.7 × 10ⁿ. What is n?

Answer key

  1. 2187
  2. 0.00073
  3. 45
  4. 3
  5. 0.79
  6. 1/5
  7. 1/3
  8. 9
  9. 5/3
  10. 2400
  11. 12
  12. 1/10000
  13. 243
  14. 0.00067
  15. 4
  16. 2
  17. 1/9
  18. 0.13
  19. 1/512
  20. 12
  21. 14
  22. 89000000
  23. 7
  24. 0.0099
  25. 0.0083
  26. 1/16
  27. 1
  28. 6
  29. 4096
  30. 500
  31. 7
  32. 1/9
  33. 6561
  34. 1/128
  35. 22000000
  36. 8192
  37. 1/100000
  38. 12
  39. 7776
  40. 5

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