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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 670 · 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 2¹⁶? =
  2. 2.What is the value of 9⁻³ (as a fraction)? =
  3. 3.What is the value of 8⁵? =
  4. 4.What is the value of 2⁶? =
  5. 5.What is the value of (3/5)⁻¹? =
  6. 6.What is the value of 3⁴ × 3⁻²? =
  7. 7.Write 8,90,00,000 in standard form as 8.9 × 10ⁿ. What is n?
  8. 8.Write 7⁹ × 7² as a single power 7ⁿ. What is n?
  9. 9.Write 2¹⁴ ÷ 2⁹ as a single power 2ⁿ. What is n?
  10. 10.What is the value of 3⁶? =
  11. 11.What is the value of 5⁻¹ (as a fraction)? =
  12. 12.What is the value of 3⁻³ (as a fraction)? =
  13. 13.Write (3⁹)² as a single power 3ⁿ. What is n?
  14. 14.Write 9.4 × 10⁻¹ as a decimal. =
  15. 15.Write (4³)⁸ as a single power 4ⁿ. What is n?
  16. 16.Write (2⁵)⁹ as a single power 2ⁿ. What is n?
  17. 17.What is the value of 10¹ × 10⁻¹? =
  18. 18.Write 2⁴ × 2⁵ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 5⁷? =
  20. 20.3.5 × 10³ =
  21. 21.Write (6⁸)⁵ as a single power 6ⁿ. What is n?
  22. 22.Write 89,000 in standard form as 8.9 × 10ⁿ. What is n?
  23. 23.What is the value of 9⁵? =
  24. 24.Write 2¹⁰ ÷ 2⁸ as a single power 2ⁿ. What is n?
  25. 25.What is the value of 2⁶ × 2⁻⁴? =
  26. 26.Write 4¹¹ ÷ 4⁶ as a single power 4ⁿ. What is n?
  27. 27.What is the value of 5⁵ × 5⁻⁵? =
  28. 28.Write 5⁵ × 5² as a single power 5ⁿ. What is n?
  29. 29.What is the value of 2⁶ × 2⁻³? =
  30. 30.Write 4² × 4⁸ as a single power 4ⁿ. What is n?
  31. 31.What is the value of 7⁻¹ (as a fraction)? =
  32. 32.Write 3¹⁴ ÷ 3⁵ as a single power 3ⁿ. What is n?
  33. 33.1.4 × 10³ =
  34. 34.What is the value of 2² × 2⁻⁶? =
  35. 35.Write 4.9 × 10⁻³ as a decimal. =
  36. 36.What is the value of 4²? =
  37. 37.What is the value of 2¹⁴? =
  38. 38.Write 2² × 2⁸ as a single power 2ⁿ. What is n?
  39. 39.Write 91,00,000 in standard form as 9.1 × 10ⁿ. What is n?
  40. 40.What is the value of 4⁷? =

Answer key

  1. 65536
  2. 1/729
  3. 32768
  4. 64
  5. 5/3
  6. 9
  7. 7
  8. 11
  9. 5
  10. 729
  11. 1/5
  12. 1/27
  13. 18
  14. 0.94
  15. 24
  16. 45
  17. 1
  18. 9
  19. 78125
  20. 3500
  21. 40
  22. 4
  23. 59049
  24. 2
  25. 4
  26. 5
  27. 1
  28. 7
  29. 8
  30. 10
  31. 1/7
  32. 9
  33. 1400
  34. 1/16
  35. 0.0049
  36. 16
  37. 16384
  38. 10
  39. 6
  40. 16384

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