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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 618 · 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 2.7 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 9⁻³ (as a fraction)? =
  3. 3.What is the value of 5⁻³ (as a fraction)? =
  4. 4.What is the value of 3²? =
  5. 5.What is the value of (3/8)⁻²? =
  6. 6.Write 7.8 × 10⁻¹ as a decimal. =
  7. 7.Write 5² × 5⁹ as a single power 5ⁿ. What is n?
  8. 8.Write 7 × 10⁻¹ as a decimal. =
  9. 9.What is the value of (2/9)⁻²? =
  10. 10.What is the value of 2¹ × 2⁻³? =
  11. 11.What is the value of 6⁶? =
  12. 12.Write 3.8 × 10⁻¹ as a decimal. =
  13. 13.Write 7.4 × 10⁻¹ as a decimal. =
  14. 14.Write 4¹⁰ ÷ 4² as a single power 4ⁿ. What is n?
  15. 15.What is the value of 10³ × 10⁻²? =
  16. 16.Write 8.7 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 4⁻² (as a fraction)? =
  18. 18.What is the value of 10⁵ × 10⁻⁴? =
  19. 19.What is the value of 10²? =
  20. 20.Write 740 in standard form as 7.4 × 10ⁿ. What is n?
  21. 21.Write 6.6 × 10⁻³ as a decimal. =
  22. 22.Write 8⁴ ÷ 8² as a single power 8ⁿ. What is n?
  23. 23.What is the value of 2⁵ × 2⁻⁵? =
  24. 24.Write 4⁸ × 4⁵ as a single power 4ⁿ. What is n?
  25. 25.Write 2.3 × 10⁻² as a decimal. =
  26. 26.What is the value of 2⁻¹ (as a fraction)? =
  27. 27.Write 3² × 3⁴ as a single power 3ⁿ. What is n?
  28. 28.Write 3¹¹ ÷ 3⁶ as a single power 3ⁿ. What is n?
  29. 29.What is the value of 2³ × 2⁻⁶? =
  30. 30.Write 9 × 10⁻⁴ as a decimal. =
  31. 31.1.3 × 10⁶ =
  32. 32.Write 4.7 × 10⁻³ as a decimal. =
  33. 33.2 × 10⁴ =
  34. 34.What is the value of (1/8)⁻²? =
  35. 35.What is the value of 7⁻³ (as a fraction)? =
  36. 36.What is the value of 2² × 2⁻⁵? =
  37. 37.What is the value of 4⁷? =
  38. 38.What is the value of 2⁻⁵ (as a fraction)? =
  39. 39.Write (5⁸)⁹ as a single power 5ⁿ. What is n?
  40. 40.What is the value of (2/7)⁻¹? =

Answer key

  1. 0.27
  2. 1/729
  3. 1/125
  4. 9
  5. 64/9
  6. 0.78
  7. 11
  8. 0.7
  9. 81/4
  10. 1/4
  11. 46656
  12. 0.38
  13. 0.74
  14. 8
  15. 10
  16. 0.00087
  17. 1/16
  18. 10
  19. 100
  20. 2
  21. 0.0066
  22. 2
  23. 1
  24. 13
  25. 0.023
  26. 1/2
  27. 6
  28. 5
  29. 1/8
  30. 0.0009
  31. 1300000
  32. 0.0047
  33. 20000
  34. 64
  35. 1/343
  36. 1/8
  37. 16384
  38. 1/32
  39. 72
  40. 7/2

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