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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 151 · 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 5¹ × 5⁻¹? =
  2. 2.What is the value of 5⁶ × 5⁻³? =
  3. 3.Write 3⁵ × 3³ as a single power 3ⁿ. What is n?
  4. 4.What is the value of 2⁵? =
  5. 5.What is the value of 3⁴? =
  6. 6.Write 3.2 × 10⁻³ as a decimal. =
  7. 7.What is the value of 8²? =
  8. 8.Write 3 × 10⁻¹ as a decimal. =
  9. 9.Write 4.2 × 10⁻⁴ as a decimal. =
  10. 10.Write 3.7 × 10⁻⁴ as a decimal. =
  11. 11.Write 6⁶ × 6⁶ as a single power 6ⁿ. What is n?
  12. 12.What is the value of 2²? =
  13. 13.What is the value of (8/9)⁻¹? =
  14. 14.Write 78,00,000 in standard form as 7.8 × 10ⁿ. What is n?
  15. 15.What is the value of 9⁵? =
  16. 16.Write 740 in standard form as 7.4 × 10ⁿ. What is n?
  17. 17.Write 8,000 in standard form as 8 × 10ⁿ. What is n?
  18. 18.Write 6⁹ × 6⁹ as a single power 6ⁿ. What is n?
  19. 19.Write 9¹² ÷ 9⁴ as a single power 9ⁿ. What is n?
  20. 20.What is the value of 4⁵? =
  21. 21.Write 7.8 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 3¹⁰? =
  23. 23.Write (8⁹)⁵ as a single power 8ⁿ. What is n?
  24. 24.Write 3,00,000 in standard form as 3 × 10ⁿ. What is n?
  25. 25.What is the value of 10⁵? =
  26. 26.Write 6¹¹ ÷ 6⁷ as a single power 6ⁿ. What is n?
  27. 27.Write 8.9 × 10⁻² as a decimal. =
  28. 28.Write 6.2 × 10⁻¹ as a decimal. =
  29. 29.Write 8⁵ × 8² as a single power 8ⁿ. What is n?
  30. 30.Write 1.9 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 5⁻³ (as a fraction)? =
  32. 32.What is the value of 10² × 10⁻⁴? =
  33. 33.Write 8⁶ × 8⁹ as a single power 8ⁿ. What is n?
  34. 34.1.2 × 10⁷ =
  35. 35.What is the value of 4⁴? =
  36. 36.What is the value of 2¹⁰? =
  37. 37.Write (3⁶)⁵ as a single power 3ⁿ. What is n?
  38. 38.What is the value of 2¹⁴? =
  39. 39.What is the value of 3⁻³ (as a fraction)? =
  40. 40.What is the value of 3²? =

Answer key

  1. 1
  2. 125
  3. 8
  4. 32
  5. 81
  6. 0.0032
  7. 64
  8. 0.3
  9. 0.00042
  10. 0.00037
  11. 12
  12. 4
  13. 9/8
  14. 6
  15. 59049
  16. 2
  17. 3
  18. 18
  19. 8
  20. 1024
  21. 0.78
  22. 59049
  23. 45
  24. 5
  25. 100000
  26. 4
  27. 0.089
  28. 0.62
  29. 7
  30. 0.00019
  31. 1/125
  32. 1/100
  33. 15
  34. 12000000
  35. 256
  36. 1024
  37. 30
  38. 16384
  39. 1/27
  40. 9

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