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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 584 · 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 2¹⁰? =
  2. 2.What is the value of 9⁻¹ (as a fraction)? =
  3. 3.What is the value of 2⁷? =
  4. 4.What is the value of 4⁻¹ (as a fraction)? =
  5. 5.Write 4,10,000 in standard form as 4.1 × 10ⁿ. What is n?
  6. 6.What is the value of 3⁵ × 3⁻²? =
  7. 7.6.8 × 10⁵ =
  8. 8.Write 3¹³ ÷ 3⁶ as a single power 3ⁿ. What is n?
  9. 9.Write 2.5 × 10⁻⁴ as a decimal. =
  10. 10.What is the value of (8/9)⁻¹? =
  11. 11.Write 7⁷ × 7⁴ as a single power 7ⁿ. What is n?
  12. 12.Write 270 in standard form as 2.7 × 10ⁿ. What is n?
  13. 13.What is the value of 2¹ × 2⁻³? =
  14. 14.What is the value of 4⁵? =
  15. 15.What is the value of (2/3)⁻¹? =
  16. 16.Write 4.3 × 10⁻³ as a decimal. =
  17. 17.What is the value of 5⁴ × 5⁻⁴? =
  18. 18.Write 2.5 × 10⁻³ as a decimal. =
  19. 19.What is the value of 3⁶? =
  20. 20.Write 7³ × 7⁸ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 9⁻³ (as a fraction)? =
  22. 22.9.5 × 10² =
  23. 23.4 × 10² =
  24. 24.What is the value of (2/5)⁻¹? =
  25. 25.What is the value of 3²? =
  26. 26.What is the value of 2¹¹? =
  27. 27.Write 7¹⁰ ÷ 7⁸ as a single power 7ⁿ. What is n?
  28. 28.Write 3.4 × 10⁻² as a decimal. =
  29. 29.What is the value of 8⁵? =
  30. 30.Write 3⁷ ÷ 3³ as a single power 3ⁿ. What is n?
  31. 31.Write (4³)⁹ as a single power 4ⁿ. What is n?
  32. 32.8 × 10² =
  33. 33.Write 8⁷ × 8³ as a single power 8ⁿ. What is n?
  34. 34.Write 6⁸ × 6⁷ as a single power 6ⁿ. What is n?
  35. 35.Write (6⁷)³ as a single power 6ⁿ. What is n?
  36. 36.Write 3.1 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 3⁻⁴ (as a fraction)? =
  38. 38.Write 3⁶ × 3⁹ as a single power 3ⁿ. What is n?
  39. 39.What is the value of 5³ × 5⁻⁶? =
  40. 40.What is the value of 2¹ × 2⁻²? =

Answer key

  1. 1024
  2. 1/9
  3. 128
  4. 1/4
  5. 5
  6. 27
  7. 680000
  8. 7
  9. 0.00025
  10. 9/8
  11. 11
  12. 2
  13. 1/4
  14. 1024
  15. 3/2
  16. 0.0043
  17. 1
  18. 0.0025
  19. 729
  20. 11
  21. 1/729
  22. 950
  23. 400
  24. 5/2
  25. 9
  26. 2048
  27. 2
  28. 0.034
  29. 32768
  30. 4
  31. 27
  32. 800
  33. 10
  34. 15
  35. 21
  36. 0.00031
  37. 1/81
  38. 15
  39. 1/125
  40. 1/2

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