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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 290 · 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 3⁻² (as a fraction)? =
  2. 2.What is the value of 3¹⁰? =
  3. 3.Write (8³)⁵ as a single power 8ⁿ. What is n?
  4. 4.What is the value of 2⁶ × 2⁻¹? =
  5. 5.Write 4 × 10⁻¹ as a decimal. =
  6. 6.Write 33,00,000 in standard form as 3.3 × 10ⁿ. What is n?
  7. 7.What is the value of 3² × 3⁻⁵? =
  8. 8.Write 5⁶ × 5⁴ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 2¹ × 2⁻⁶? =
  10. 10.Write 9.1 × 10⁻² as a decimal. =
  11. 11.What is the value of 5¹ × 5⁻³? =
  12. 12.Write 4¹¹ ÷ 4³ as a single power 4ⁿ. What is n?
  13. 13.What is the value of 2¹²? =
  14. 14.Write 3.4 × 10⁻¹ as a decimal. =
  15. 15.8.1 × 10⁴ =
  16. 16.What is the value of 3³ × 3⁻⁴? =
  17. 17.What is the value of 9²? =
  18. 18.Write 2,300 in standard form as 2.3 × 10ⁿ. What is n?
  19. 19.Write 91,00,000 in standard form as 9.1 × 10ⁿ. What is n?
  20. 20.What is the value of 5¹ × 5⁻⁵? =
  21. 21.What is the value of 2¹¹? =
  22. 22.What is the value of 9⁻¹ (as a fraction)? =
  23. 23.Write 8⁷ × 8⁴ as a single power 8ⁿ. What is n?
  24. 24.What is the value of (4/7)⁻¹? =
  25. 25.What is the value of 2¹ × 2⁻³? =
  26. 26.Write 6⁹ × 6⁹ as a single power 6ⁿ. What is n?
  27. 27.What is the value of 2⁻⁵ (as a fraction)? =
  28. 28.Write 900 in standard form as 9 × 10ⁿ. What is n?
  29. 29.Write 4,90,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  30. 30.Write 9³ × 9⁶ as a single power 9ⁿ. What is n?
  31. 31.What is the value of 2¹ × 2⁻⁵? =
  32. 32.Write 5.6 × 10⁻² as a decimal. =
  33. 33.What is the value of 5⁵? =
  34. 34.What is the value of 6³? =
  35. 35.What is the value of 2⁻⁹ (as a fraction)? =
  36. 36.5.3 × 10³ =
  37. 37.Write 2.5 × 10⁻³ as a decimal. =
  38. 38.What is the value of (1/4)⁻¹? =
  39. 39.What is the value of 5³ × 5⁻³? =
  40. 40.What is the value of 5⁶ × 5⁻⁵? =

Answer key

  1. 1/9
  2. 59049
  3. 15
  4. 32
  5. 0.4
  6. 6
  7. 1/27
  8. 10
  9. 1/32
  10. 0.091
  11. 1/25
  12. 8
  13. 4096
  14. 0.34
  15. 81000
  16. 1/3
  17. 81
  18. 3
  19. 6
  20. 1/625
  21. 2048
  22. 1/9
  23. 11
  24. 7/4
  25. 1/4
  26. 18
  27. 1/32
  28. 2
  29. 7
  30. 9
  31. 1/16
  32. 0.056
  33. 3125
  34. 216
  35. 1/512
  36. 5300
  37. 0.0025
  38. 4
  39. 1
  40. 5

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