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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 929 · 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 3⁻¹ (as a fraction)? =
  2. 2.What is the value of 5³ × 5⁻⁴? =
  3. 3.What is the value of 10⁵ × 10⁻⁴? =
  4. 4.What is the value of 2⁻⁵ (as a fraction)? =
  5. 5.Write (7⁶)⁶ as a single power 7ⁿ. What is n?
  6. 6.What is the value of 5² × 5⁻¹? =
  7. 7.What is the value of 5⁴ × 5⁻¹? =
  8. 8.What is the value of 2⁶ × 2⁻¹? =
  9. 9.Write 7,40,000 in standard form as 7.4 × 10ⁿ. What is n?
  10. 10.Write 8.2 × 10⁻³ as a decimal. =
  11. 11.What is the value of (3/4)⁻²? =
  12. 12.What is the value of 8²? =
  13. 13.Write 2⁴ × 2² as a single power 2ⁿ. What is n?
  14. 14.What is the value of 2¹ × 2⁻¹? =
  15. 15.Write 9⁹ ÷ 9⁶ as a single power 9ⁿ. What is n?
  16. 16.What is the value of 2¹⁵? =
  17. 17.Write 7¹⁰ ÷ 7⁴ as a single power 7ⁿ. What is n?
  18. 18.Write 4⁵ × 4³ as a single power 4ⁿ. What is n?
  19. 19.2 × 10⁷ =
  20. 20.Write 2³ × 2⁹ as a single power 2ⁿ. What is n?
  21. 21.Write (3³)⁹ as a single power 3ⁿ. What is n?
  22. 22.What is the value of 4⁸? =
  23. 23.What is the value of 3³? =
  24. 24.Write 3⁸ ÷ 3⁵ as a single power 3ⁿ. What is n?
  25. 25.Write 9² × 9⁹ as a single power 9ⁿ. What is n?
  26. 26.3.6 × 10³ =
  27. 27.What is the value of 2⁻⁹ (as a fraction)? =
  28. 28.Write 4⁷ ÷ 4³ as a single power 4ⁿ. What is n?
  29. 29.What is the value of 2⁻¹ (as a fraction)? =
  30. 30.What is the value of 2¹⁶? =
  31. 31.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
  32. 32.Write 560 in standard form as 5.6 × 10ⁿ. What is n?
  33. 33.Write 7² × 7² as a single power 7ⁿ. What is n?
  34. 34.Write 4³ × 4³ as a single power 4ⁿ. What is n?
  35. 35.Write 4⁴ ÷ 4² as a single power 4ⁿ. What is n?
  36. 36.9.6 × 10⁷ =
  37. 37.What is the value of 3¹⁰? =
  38. 38.Write 3.4 × 10⁻³ as a decimal. =
  39. 39.Write 1.4 × 10⁻² as a decimal. =
  40. 40.Write 5.4 × 10⁻³ as a decimal. =

Answer key

  1. 1/3
  2. 1/5
  3. 10
  4. 1/32
  5. 36
  6. 5
  7. 125
  8. 32
  9. 5
  10. 0.0082
  11. 16/9
  12. 64
  13. 6
  14. 1
  15. 3
  16. 32768
  17. 6
  18. 8
  19. 20000000
  20. 12
  21. 27
  22. 65536
  23. 27
  24. 3
  25. 11
  26. 3600
  27. 1/512
  28. 4
  29. 1/2
  30. 65536
  31. 2
  32. 2
  33. 4
  34. 6
  35. 2
  36. 96000000
  37. 59049
  38. 0.0034
  39. 0.014
  40. 0.0054

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