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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 800 · 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 3¹¹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  2. 2.9.6 × 10⁵ =
  3. 3.What is the value of 5⁻³ (as a fraction)? =
  4. 4.What is the value of 2⁻⁵ (as a fraction)? =
  5. 5.What is the value of 9⁻³ (as a fraction)? =
  6. 6.Write 4⁷ × 4⁹ as a single power 4ⁿ. What is n?
  7. 7.3.1 × 10⁵ =
  8. 8.Write 9.9 × 10⁻³ as a decimal. =
  9. 9.What is the value of 2⁵ × 2⁻²? =
  10. 10.Write 4.4 × 10⁻² as a decimal. =
  11. 11.What is the value of 2¹³? =
  12. 12.What is the value of 4⁸? =
  13. 13.What is the value of 2² × 2⁻¹? =
  14. 14.Write 7⁴ × 7⁷ as a single power 7ⁿ. What is n?
  15. 15.What is the value of (2/9)⁻¹? =
  16. 16.What is the value of 10³? =
  17. 17.Write 5¹⁴ ÷ 5⁶ as a single power 5ⁿ. What is n?
  18. 18.What is the value of 10¹ × 10⁻⁴? =
  19. 19.What is the value of 2¹ × 2⁻⁵? =
  20. 20.Write 2 × 10⁻² as a decimal. =
  21. 21.Write 8² × 8³ as a single power 8ⁿ. What is n?
  22. 22.Write 5,90,00,000 in standard form as 5.9 × 10ⁿ. What is n?
  23. 23.Write 4³ × 4² as a single power 4ⁿ. What is n?
  24. 24.What is the value of 3⁻⁴ (as a fraction)? =
  25. 25.Write 9,10,000 in standard form as 9.1 × 10ⁿ. What is n?
  26. 26.Write 8¹¹ ÷ 8⁸ as a single power 8ⁿ. What is n?
  27. 27.Write 2² × 2³ as a single power 2ⁿ. What is n?
  28. 28.What is the value of 5³? =
  29. 29.Write 1.8 × 10⁻⁴ as a decimal. =
  30. 30.Write 2.7 × 10⁻¹ as a decimal. =
  31. 31.Write 6,10,00,000 in standard form as 6.1 × 10ⁿ. What is n?
  32. 32.What is the value of 2⁶ × 2⁻²? =
  33. 33.What is the value of 2⁴? =
  34. 34.What is the value of 5⁶ × 5⁻⁵? =
  35. 35.5.4 × 10⁴ =
  36. 36.What is the value of 5⁶ × 5⁻⁶? =
  37. 37.What is the value of 2¹⁰? =
  38. 38.Write 36,00,000 in standard form as 3.6 × 10ⁿ. What is n?
  39. 39.What is the value of 2³ × 2⁻⁵? =
  40. 40.What is the value of 9²? =

Answer key

  1. 4
  2. 960000
  3. 1/125
  4. 1/32
  5. 1/729
  6. 16
  7. 310000
  8. 0.0099
  9. 8
  10. 0.044
  11. 8192
  12. 65536
  13. 2
  14. 11
  15. 9/2
  16. 1000
  17. 8
  18. 1/1000
  19. 1/16
  20. 0.02
  21. 5
  22. 7
  23. 5
  24. 1/81
  25. 5
  26. 3
  27. 5
  28. 125
  29. 0.00018
  30. 0.27
  31. 7
  32. 16
  33. 16
  34. 5
  35. 54000
  36. 1
  37. 1024
  38. 6
  39. 1/4
  40. 81

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