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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 268 · 40 sums
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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 7⁵? =
  2. 2.Write 9² × 9⁵ as a single power 9ⁿ. What is n?
  3. 3.Write 6.8 × 10⁻² as a decimal. =
  4. 4.Write (7⁶)⁸ as a single power 7ⁿ. What is n?
  5. 5.Write (5⁵)² as a single power 5ⁿ. What is n?
  6. 6.Write 1.6 × 10⁻² as a decimal. =
  7. 7.Write 75,000 in standard form as 7.5 × 10ⁿ. What is n?
  8. 8.What is the value of 2² × 2⁻⁵? =
  9. 9.Write 8⁴ × 8³ as a single power 8ⁿ. What is n?
  10. 10.Write 4¹⁷ ÷ 4⁸ as a single power 4ⁿ. What is n?
  11. 11.Write 8⁴ × 8² as a single power 8ⁿ. What is n?
  12. 12.8.2 × 10⁵ =
  13. 13.8.1 × 10² =
  14. 14.Write 2³ × 2⁶ as a single power 2ⁿ. What is n?
  15. 15.What is the value of 3¹ × 3⁻¹? =
  16. 16.What is the value of 2⁹? =
  17. 17.What is the value of (5/7)⁻¹? =
  18. 18.What is the value of 10⁴ × 10⁻²? =
  19. 19.What is the value of 10⁵ × 10⁻⁶? =
  20. 20.What is the value of 2⁷? =
  21. 21.Write 2³ × 2⁴ as a single power 2ⁿ. What is n?
  22. 22.Write 4.2 × 10⁻¹ as a decimal. =
  23. 23.Write 3.8 × 10⁻² as a decimal. =
  24. 24.Write (8⁶)⁶ as a single power 8ⁿ. What is n?
  25. 25.Write (3⁷)⁸ as a single power 3ⁿ. What is n?
  26. 26.Write 5,80,00,000 in standard form as 5.8 × 10ⁿ. What is n?
  27. 27.Write 7⁷ × 7² as a single power 7ⁿ. What is n?
  28. 28.What is the value of 6⁴? =
  29. 29.What is the value of 8⁻¹ (as a fraction)? =
  30. 30.What is the value of 2⁻⁷ (as a fraction)? =
  31. 31.Write 8,40,000 in standard form as 8.4 × 10ⁿ. What is n?
  32. 32.What is the value of 2¹⁵? =
  33. 33.What is the value of 2³ × 2⁻⁶? =
  34. 34.Write 5.2 × 10⁻⁴ as a decimal. =
  35. 35.8.3 × 10² =
  36. 36.3.2 × 10⁵ =
  37. 37.Write 1.4 × 10⁻⁴ as a decimal. =
  38. 38.Write 7¹³ ÷ 7⁸ as a single power 7ⁿ. What is n?
  39. 39.What is the value of 3⁶ × 3⁻⁴? =
  40. 40.Write (6⁴)⁸ as a single power 6ⁿ. What is n?

Answer key

  1. 16807
  2. 7
  3. 0.068
  4. 48
  5. 10
  6. 0.016
  7. 4
  8. 1/8
  9. 7
  10. 9
  11. 6
  12. 820000
  13. 810
  14. 9
  15. 1
  16. 512
  17. 7/5
  18. 100
  19. 1/10
  20. 128
  21. 7
  22. 0.42
  23. 0.038
  24. 36
  25. 56
  26. 7
  27. 9
  28. 1296
  29. 1/8
  30. 1/128
  31. 5
  32. 32768
  33. 1/8
  34. 0.00052
  35. 830
  36. 320000
  37. 0.00014
  38. 5
  39. 9
  40. 32

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