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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 723 · 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 2.8 × 10⁻¹ as a decimal. =
  2. 2.5.9 × 10² =
  3. 3.Write 2¹⁴ ÷ 2⁹ as a single power 2ⁿ. What is n?
  4. 4.What is the value of 6⁻³ (as a fraction)? =
  5. 5.Write 2² × 2⁵ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 5² × 5⁻⁵? =
  7. 7.Write 2.9 × 10⁻¹ as a decimal. =
  8. 8.Write (3²)⁶ as a single power 3ⁿ. What is n?
  9. 9.What is the value of 4⁴? =
  10. 10.What is the value of 10⁵ × 10⁻³? =
  11. 11.What is the value of 3⁵ × 3⁻¹? =
  12. 12.Write 4⁸ ÷ 4³ as a single power 4ⁿ. What is n?
  13. 13.8.8 × 10⁷ =
  14. 14.Write 5¹³ ÷ 5⁶ as a single power 5ⁿ. What is n?
  15. 15.What is the value of 2⁵? =
  16. 16.Write 6⁷ × 6⁷ as a single power 6ⁿ. What is n?
  17. 17.What is the value of 6⁴? =
  18. 18.Write 1,30,000 in standard form as 1.3 × 10ⁿ. What is n?
  19. 19.8.2 × 10² =
  20. 20.What is the value of 4⁻¹ (as a fraction)? =
  21. 21.What is the value of (5/8)⁻¹? =
  22. 22.Write 3⁷ ÷ 3⁵ as a single power 3ⁿ. What is n?
  23. 23.Write 8⁶ × 8² as a single power 8ⁿ. What is n?
  24. 24.7.2 × 10⁶ =
  25. 25.What is the value of 3⁻³ (as a fraction)? =
  26. 26.Write (3⁴)² as a single power 3ⁿ. What is n?
  27. 27.Write (6⁸)⁵ as a single power 6ⁿ. What is n?
  28. 28.What is the value of 8³? =
  29. 29.What is the value of 2³ × 2⁻⁴? =
  30. 30.What is the value of 8²? =
  31. 31.Write 5⁵ × 5⁹ as a single power 5ⁿ. What is n?
  32. 32.Write 4¹¹ ÷ 4⁴ as a single power 4ⁿ. What is n?
  33. 33.Write 3,700 in standard form as 3.7 × 10ⁿ. What is n?
  34. 34.What is the value of 2¹⁴? =
  35. 35.5.2 × 10³ =
  36. 36.Write 6¹⁴ ÷ 6⁵ as a single power 6ⁿ. What is n?
  37. 37.Write 2.1 × 10⁻² as a decimal. =
  38. 38.Write 97,000 in standard form as 9.7 × 10ⁿ. What is n?
  39. 39.What is the value of (3/4)⁻²? =
  40. 40.What is the value of 5⁻⁴ (as a fraction)? =

Answer key

  1. 0.28
  2. 590
  3. 5
  4. 1/216
  5. 7
  6. 1/125
  7. 0.29
  8. 12
  9. 256
  10. 100
  11. 81
  12. 5
  13. 88000000
  14. 7
  15. 32
  16. 14
  17. 1296
  18. 5
  19. 820
  20. 1/4
  21. 8/5
  22. 2
  23. 8
  24. 7200000
  25. 1/27
  26. 8
  27. 40
  28. 512
  29. 1/2
  30. 64
  31. 14
  32. 7
  33. 3
  34. 16384
  35. 5200
  36. 9
  37. 0.021
  38. 4
  39. 16/9
  40. 1/625

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