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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 886 · 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.What is the value of 6²? =
  2. 2.Write 3⁵ × 3⁹ as a single power 3ⁿ. What is n?
  3. 3.What is the value of 2⁷? =
  4. 4.What is the value of 7²? =
  5. 5.What is the value of 10⁵ × 10⁻¹? =
  6. 6.Write 8⁷ × 8⁶ as a single power 8ⁿ. What is n?
  7. 7.Write 7.7 × 10⁻¹ as a decimal. =
  8. 8.3.1 × 10⁶ =
  9. 9.Write 4.6 × 10⁻³ as a decimal. =
  10. 10.What is the value of 2⁻² (as a fraction)? =
  11. 11.What is the value of (1/6)⁻²? =
  12. 12.Write 39,000 in standard form as 3.9 × 10ⁿ. What is n?
  13. 13.What is the value of (5/6)⁻¹? =
  14. 14.Write (5⁵)⁵ as a single power 5ⁿ. What is n?
  15. 15.Write (4⁶)⁸ as a single power 4ⁿ. What is n?
  16. 16.What is the value of 3⁶? =
  17. 17.What is the value of (1/2)⁻¹? =
  18. 18.What is the value of 10⁶ × 10⁻⁵? =
  19. 19.What is the value of 8⁴? =
  20. 20.Write (4⁹)⁸ as a single power 4ⁿ. What is n?
  21. 21.Write 990 in standard form as 9.9 × 10ⁿ. What is n?
  22. 22.Write 9⁷ ÷ 9³ as a single power 9ⁿ. What is n?
  23. 23.What is the value of (1/7)⁻²? =
  24. 24.Write 1.1 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 5² × 5⁻⁴? =
  26. 26.What is the value of 10⁴? =
  27. 27.What is the value of 2¹ × 2⁻¹? =
  28. 28.1.4 × 10⁷ =
  29. 29.Write 5¹² ÷ 5³ as a single power 5ⁿ. What is n?
  30. 30.1.4 × 10⁴ =
  31. 31.Write 2⁴ × 2² as a single power 2ⁿ. What is n?
  32. 32.Write 8.7 × 10⁻³ as a decimal. =
  33. 33.What is the value of 9³? =
  34. 34.What is the value of 9⁵? =
  35. 35.What is the value of 5² × 5⁻⁵? =
  36. 36.Write 5.4 × 10⁻³ as a decimal. =
  37. 37.Write 1.9 × 10⁻¹ as a decimal. =
  38. 38.Write 4.4 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 2¹ × 2⁻³? =
  40. 40.Write 7.7 × 10⁻² as a decimal. =

Answer key

  1. 36
  2. 14
  3. 128
  4. 49
  5. 10000
  6. 13
  7. 0.77
  8. 3100000
  9. 0.0046
  10. 1/4
  11. 36
  12. 4
  13. 6/5
  14. 25
  15. 48
  16. 729
  17. 2
  18. 10
  19. 4096
  20. 72
  21. 2
  22. 4
  23. 49
  24. 0.00011
  25. 1/25
  26. 10000
  27. 1
  28. 14000000
  29. 9
  30. 14000
  31. 6
  32. 0.0087
  33. 729
  34. 59049
  35. 1/125
  36. 0.0054
  37. 0.19
  38. 0.44
  39. 1/4
  40. 0.077

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