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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 879 · 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 9.9 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 7²? =
  3. 3.What is the value of 2⁷? =
  4. 4.What is the value of 10⁶ × 10⁻¹? =
  5. 5.What is the value of 2¹⁴? =
  6. 6.What is the value of 4⁶? =
  7. 7.3.6 × 10⁶ =
  8. 8.What is the value of 3⁶? =
  9. 9.Write 7 × 10⁻² as a decimal. =
  10. 10.What is the value of 5⁶ × 5⁻⁵? =
  11. 11.1.3 × 10⁷ =
  12. 12.What is the value of (4/5)⁻²? =
  13. 13.What is the value of (6/7)⁻²? =
  14. 14.What is the value of 10¹ × 10⁻⁶? =
  15. 15.What is the value of 2⁻¹ (as a fraction)? =
  16. 16.What is the value of 5⁴ × 5⁻³? =
  17. 17.What is the value of 3⁻⁶ (as a fraction)? =
  18. 18.What is the value of 2⁻² (as a fraction)? =
  19. 19.What is the value of 3⁷? =
  20. 20.What is the value of 5⁶? =
  21. 21.Write 5⁸ × 5⁸ as a single power 5ⁿ. What is n?
  22. 22.Write (5³)³ as a single power 5ⁿ. What is n?
  23. 23.What is the value of (2/5)⁻¹? =
  24. 24.Write 4¹³ ÷ 4⁴ as a single power 4ⁿ. What is n?
  25. 25.Write 6⁷ × 6⁹ as a single power 6ⁿ. What is n?
  26. 26.What is the value of 10¹ × 10⁻¹? =
  27. 27.3.4 × 10³ =
  28. 28.What is the value of 3⁵ × 3⁻²? =
  29. 29.7.5 × 10⁶ =
  30. 30.Write 8,100 in standard form as 8.1 × 10ⁿ. What is n?
  31. 31.9.6 × 10⁷ =
  32. 32.What is the value of 7³? =
  33. 33.Write 6.1 × 10⁻⁴ as a decimal. =
  34. 34.What is the value of 6⁶? =
  35. 35.What is the value of 7⁴? =
  36. 36.Write 8⁹ × 8² as a single power 8ⁿ. What is n?
  37. 37.Write 4,10,00,000 in standard form as 4.1 × 10ⁿ. What is n?
  38. 38.What is the value of 3⁹? =
  39. 39.What is the value of 3⁵ × 3⁻⁶? =
  40. 40.What is the value of 9⁵? =

Answer key

  1. 0.00099
  2. 49
  3. 128
  4. 100000
  5. 16384
  6. 4096
  7. 3600000
  8. 729
  9. 0.07
  10. 5
  11. 13000000
  12. 25/16
  13. 49/36
  14. 1/100000
  15. 1/2
  16. 5
  17. 1/729
  18. 1/4
  19. 2187
  20. 15625
  21. 16
  22. 9
  23. 5/2
  24. 9
  25. 16
  26. 1
  27. 3400
  28. 27
  29. 7500000
  30. 3
  31. 96000000
  32. 343
  33. 0.00061
  34. 46656
  35. 2401
  36. 11
  37. 7
  38. 19683
  39. 1/3
  40. 59049

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