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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 734 · 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 5.3 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 3⁵ × 3⁻¹? =
  3. 3.What is the value of 4⁴? =
  4. 4.6.1 × 10⁴ =
  5. 5.What is the value of 10¹ × 10⁻²? =
  6. 6.Write (4⁹)⁹ as a single power 4ⁿ. What is n?
  7. 7.Write 5,60,000 in standard form as 5.6 × 10ⁿ. What is n?
  8. 8.Write 2.1 × 10⁻¹ as a decimal. =
  9. 9.Write 2.7 × 10⁻³ as a decimal. =
  10. 10.What is the value of 4⁵? =
  11. 11.What is the value of 2¹¹? =
  12. 12.Write 4⁶ ÷ 4³ as a single power 4ⁿ. What is n?
  13. 13.Write (8⁸)⁹ as a single power 8ⁿ. What is n?
  14. 14.1.1 × 10⁴ =
  15. 15.What is the value of 7⁵? =
  16. 16.What is the value of 10²? =
  17. 17.Write 8⁴ ÷ 8² as a single power 8ⁿ. What is n?
  18. 18.What is the value of 9⁻¹ (as a fraction)? =
  19. 19.Write 8.7 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 5⁵? =
  21. 21.Write 3.4 × 10⁻⁴ as a decimal. =
  22. 22.What is the value of (5/8)⁻²? =
  23. 23.What is the value of (5/9)⁻²? =
  24. 24.What is the value of 2¹⁰? =
  25. 25.What is the value of 5⁶ × 5⁻⁴? =
  26. 26.What is the value of 2¹ × 2⁻³? =
  27. 27.9.1 × 10⁴ =
  28. 28.What is the value of (1/5)⁻²? =
  29. 29.What is the value of 10⁵ × 10⁻²? =
  30. 30.What is the value of 3⁴? =
  31. 31.Write 7¹¹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  32. 32.What is the value of 6⁻¹ (as a fraction)? =
  33. 33.Write 5¹⁴ ÷ 5⁷ as a single power 5ⁿ. What is n?
  34. 34.Write 2.3 × 10⁻¹ as a decimal. =
  35. 35.Write 3.1 × 10⁻³ as a decimal. =
  36. 36.What is the value of 5⁷? =
  37. 37.Write 1.4 × 10⁻⁴ as a decimal. =
  38. 38.Write 9.6 × 10⁻² as a decimal. =
  39. 39.What is the value of 6⁻² (as a fraction)? =
  40. 40.Write 4,500 in standard form as 4.5 × 10ⁿ. What is n?

Answer key

  1. 0.00053
  2. 81
  3. 256
  4. 61000
  5. 1/10
  6. 81
  7. 5
  8. 0.21
  9. 0.0027
  10. 1024
  11. 2048
  12. 3
  13. 72
  14. 11000
  15. 16807
  16. 100
  17. 2
  18. 1/9
  19. 0.87
  20. 3125
  21. 0.00034
  22. 64/25
  23. 81/25
  24. 1024
  25. 25
  26. 1/4
  27. 91000
  28. 25
  29. 1000
  30. 81
  31. 5
  32. 1/6
  33. 7
  34. 0.23
  35. 0.0031
  36. 78125
  37. 0.00014
  38. 0.096
  39. 1/36
  40. 3

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