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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 756 · 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.Write (2⁵)⁴ as a single power 2ⁿ. What is n?
  2. 2.Write 2.5 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 10²? =
  4. 4.What is the value of 4⁷? =
  5. 5.Write 9.7 × 10⁻¹ as a decimal. =
  6. 6.Write 5.6 × 10⁻¹ as a decimal. =
  7. 7.Write (8⁵)³ as a single power 8ⁿ. What is n?
  8. 8.What is the value of 3¹⁰? =
  9. 9.What is the value of 2⁻⁷ (as a fraction)? =
  10. 10.What is the value of 2⁴ × 2⁻⁶? =
  11. 11.Write 3⁷ ÷ 3⁵ as a single power 3ⁿ. What is n?
  12. 12.What is the value of (5/6)⁻¹? =
  13. 13.What is the value of 2² × 2⁻⁴? =
  14. 14.Write 7.7 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 9⁻² (as a fraction)? =
  16. 16.Write 2.9 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 3⁶ × 3⁻²? =
  18. 18.What is the value of 2¹³? =
  19. 19.What is the value of 5¹ × 5⁻²? =
  20. 20.Write 5⁵ × 5⁹ as a single power 5ⁿ. What is n?
  21. 21.5 × 10⁴ =
  22. 22.What is the value of (8/9)⁻¹? =
  23. 23.Write (2⁸)⁶ as a single power 2ⁿ. What is n?
  24. 24.Write (8⁶)⁶ as a single power 8ⁿ. What is n?
  25. 25.What is the value of 9³? =
  26. 26.What is the value of (1/4)⁻²? =
  27. 27.What is the value of 6⁶? =
  28. 28.Write 6.7 × 10⁻² as a decimal. =
  29. 29.What is the value of 3²? =
  30. 30.What is the value of 2¹⁶? =
  31. 31.Write 3⁹ ÷ 3² as a single power 3ⁿ. What is n?
  32. 32.Write 6⁹ ÷ 6⁶ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 5³? =
  34. 34.Write 6.2 × 10⁻¹ as a decimal. =
  35. 35.Write 8.2 × 10⁻³ as a decimal. =
  36. 36.2.1 × 10⁶ =
  37. 37.Write 4¹⁴ ÷ 4⁸ as a single power 4ⁿ. What is n?
  38. 38.Write 1.3 × 10⁻⁴ as a decimal. =
  39. 39.6.2 × 10³ =
  40. 40.Write 2¹⁷ ÷ 2⁸ as a single power 2ⁿ. What is n?

Answer key

  1. 20
  2. 0.25
  3. 100
  4. 16384
  5. 0.97
  6. 0.56
  7. 15
  8. 59049
  9. 1/128
  10. 1/4
  11. 2
  12. 6/5
  13. 1/4
  14. 0.77
  15. 1/81
  16. 0.29
  17. 81
  18. 8192
  19. 1/5
  20. 14
  21. 50000
  22. 9/8
  23. 48
  24. 36
  25. 729
  26. 16
  27. 46656
  28. 0.067
  29. 9
  30. 65536
  31. 7
  32. 3
  33. 125
  34. 0.62
  35. 0.0082
  36. 2100000
  37. 6
  38. 0.00013
  39. 6200
  40. 9

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