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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 501 · 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 3⁴ × 3⁻⁴? =
  2. 2.Write 4⁹ ÷ 4⁴ as a single power 4ⁿ. What is n?
  3. 3.Write (4⁵)² as a single power 4ⁿ. What is n?
  4. 4.Write 8,400 in standard form as 8.4 × 10ⁿ. What is n?
  5. 5.What is the value of (1/8)⁻²? =
  6. 6.What is the value of (3/5)⁻¹? =
  7. 7.What is the value of 2³ × 2⁻¹? =
  8. 8.Write 1.7 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 2³? =
  10. 10.What is the value of 8⁻¹ (as a fraction)? =
  11. 11.Write 8⁸ × 8⁵ as a single power 8ⁿ. What is n?
  12. 12.What is the value of 5⁶? =
  13. 13.What is the value of 3²? =
  14. 14.What is the value of 2⁴ × 2⁻³? =
  15. 15.Write 4⁶ ÷ 4⁴ as a single power 4ⁿ. What is n?
  16. 16.Write 57,00,000 in standard form as 5.7 × 10ⁿ. What is n?
  17. 17.What is the value of 2⁻⁴ (as a fraction)? =
  18. 18.Write 8⁷ × 8⁷ as a single power 8ⁿ. What is n?
  19. 19.4.5 × 10² =
  20. 20.Write 7.4 × 10⁻² as a decimal. =
  21. 21.What is the value of 5² × 5⁻²? =
  22. 22.6 × 10⁴ =
  23. 23.Write 4.8 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of 2⁷? =
  25. 25.5.2 × 10⁵ =
  26. 26.What is the value of 2¹⁵? =
  27. 27.1.6 × 10² =
  28. 28.Write 6.7 × 10⁻⁴ as a decimal. =
  29. 29.Write 8¹⁴ ÷ 8⁹ as a single power 8ⁿ. What is n?
  30. 30.What is the value of 7⁻¹ (as a fraction)? =
  31. 31.What is the value of 8²? =
  32. 32.What is the value of 2⁴ × 2⁻²? =
  33. 33.What is the value of 8⁴? =
  34. 34.What is the value of 3³ × 3⁻⁶? =
  35. 35.Write (7²)² as a single power 7ⁿ. What is n?
  36. 36.What is the value of 2¹⁶? =
  37. 37.5.1 × 10³ =
  38. 38.Write (6⁵)⁹ as a single power 6ⁿ. What is n?
  39. 39.What is the value of 2⁵? =
  40. 40.What is the value of 2⁻⁹ (as a fraction)? =

Answer key

  1. 1
  2. 5
  3. 10
  4. 3
  5. 64
  6. 5/3
  7. 4
  8. 0.17
  9. 8
  10. 1/8
  11. 13
  12. 15625
  13. 9
  14. 2
  15. 2
  16. 6
  17. 1/16
  18. 14
  19. 450
  20. 0.074
  21. 1
  22. 60000
  23. 0.00048
  24. 128
  25. 520000
  26. 32768
  27. 160
  28. 0.00067
  29. 5
  30. 1/7
  31. 64
  32. 4
  33. 4096
  34. 1/27
  35. 4
  36. 65536
  37. 5100
  38. 45
  39. 32
  40. 1/512

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