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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 941 · 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 43,00,000 in standard form as 4.3 × 10ⁿ. What is n?
  2. 2.3.2 × 10⁷ =
  3. 3.9.7 × 10⁷ =
  4. 4.What is the value of 3⁴ × 3⁻³? =
  5. 5.What is the value of 7⁻³ (as a fraction)? =
  6. 6.Write 3.7 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 3⁶ × 3⁻⁴? =
  8. 8.Write 4.7 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 2⁴ × 2⁻³? =
  10. 10.What is the value of 5² × 5⁻⁵? =
  11. 11.What is the value of 2¹¹? =
  12. 12.8.6 × 10⁴ =
  13. 13.Write 6² × 6⁷ as a single power 6ⁿ. What is n?
  14. 14.What is the value of (4/5)⁻²? =
  15. 15.What is the value of 8⁵? =
  16. 16.Write 5 × 10⁻¹ as a decimal. =
  17. 17.Write 8.6 × 10⁻¹ as a decimal. =
  18. 18.What is the value of (3/5)⁻²? =
  19. 19.What is the value of 5⁴ × 5⁻²? =
  20. 20.Write 2⁹ × 2⁵ as a single power 2ⁿ. What is n?
  21. 21.What is the value of 2⁷? =
  22. 22.What is the value of 5² × 5⁻⁴? =
  23. 23.What is the value of 2⁶ × 2⁻⁶? =
  24. 24.Write 9.6 × 10⁻⁴ as a decimal. =
  25. 25.2 × 10⁶ =
  26. 26.Write 6.5 × 10⁻² as a decimal. =
  27. 27.What is the value of 10⁴? =
  28. 28.Write (3²)⁷ as a single power 3ⁿ. What is n?
  29. 29.What is the value of (3/8)⁻²? =
  30. 30.Write (4³)⁵ as a single power 4ⁿ. What is n?
  31. 31.What is the value of 2³ × 2⁻³? =
  32. 32.What is the value of 3⁻³ (as a fraction)? =
  33. 33.What is the value of 9³? =
  34. 34.Write 9.9 × 10⁻² as a decimal. =
  35. 35.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?
  36. 36.Write 3⁴ × 3⁵ as a single power 3ⁿ. What is n?
  37. 37.Write 5,50,00,000 in standard form as 5.5 × 10ⁿ. What is n?
  38. 38.Write 2.4 × 10⁻⁴ as a decimal. =
  39. 39.Write 4.2 × 10⁻² as a decimal. =
  40. 40.What is the value of 2⁵ × 2⁻¹? =

Answer key

  1. 6
  2. 32000000
  3. 97000000
  4. 3
  5. 1/343
  6. 0.37
  7. 9
  8. 0.47
  9. 2
  10. 1/125
  11. 2048
  12. 86000
  13. 9
  14. 25/16
  15. 32768
  16. 0.5
  17. 0.86
  18. 25/9
  19. 25
  20. 14
  21. 128
  22. 1/25
  23. 1
  24. 0.00096
  25. 2000000
  26. 0.065
  27. 10000
  28. 14
  29. 64/9
  30. 15
  31. 1
  32. 1/27
  33. 729
  34. 0.099
  35. 4
  36. 9
  37. 7
  38. 0.00024
  39. 0.042
  40. 16

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