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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 569 · 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.Write 3¹⁴ ÷ 3⁸ as a single power 3ⁿ. What is n?
  2. 2.1.2 × 10² =
  3. 3.Write 7,80,00,000 in standard form as 7.8 × 10ⁿ. What is n?
  4. 4.Write 6⁴ × 6⁹ as a single power 6ⁿ. What is n?
  5. 5.Write 6⁷ × 6⁵ as a single power 6ⁿ. What is n?
  6. 6.Write 6.5 × 10⁻² as a decimal. =
  7. 7.Write 8¹⁵ ÷ 8⁷ as a single power 8ⁿ. What is n?
  8. 8.What is the value of 2¹⁵? =
  9. 9.What is the value of 9⁴? =
  10. 10.What is the value of 2¹²? =
  11. 11.What is the value of 8⁻³ (as a fraction)? =
  12. 12.Write 7⁹ ÷ 7⁵ as a single power 7ⁿ. What is n?
  13. 13.2.9 × 10⁵ =
  14. 14.Write 3.4 × 10⁻⁴ as a decimal. =
  15. 15.What is the value of 2¹ × 2⁻⁴? =
  16. 16.Write 4⁸ ÷ 4⁴ as a single power 4ⁿ. What is n?
  17. 17.Write 1.1 × 10⁻⁴ as a decimal. =
  18. 18.Write 6.3 × 10⁻³ as a decimal. =
  19. 19.What is the value of 5⁶ × 5⁻²? =
  20. 20.What is the value of 4⁻⁴ (as a fraction)? =
  21. 21.Write 2,10,000 in standard form as 2.1 × 10ⁿ. What is n?
  22. 22.What is the value of 2⁷? =
  23. 23.Write 4 × 10⁻² as a decimal. =
  24. 24.Write 6⁵ × 6³ as a single power 6ⁿ. What is n?
  25. 25.Write (6²)⁷ as a single power 6ⁿ. What is n?
  26. 26.Write (3²)⁷ as a single power 3ⁿ. What is n?
  27. 27.Write (9²)⁸ as a single power 9ⁿ. What is n?
  28. 28.What is the value of (3/4)⁻²? =
  29. 29.What is the value of 3⁵ × 3⁻⁶? =
  30. 30.Write (2²)⁸ as a single power 2ⁿ. What is n?
  31. 31.What is the value of 3¹ × 3⁻⁵? =
  32. 32.Write 8⁵ × 8³ as a single power 8ⁿ. What is n?
  33. 33.What is the value of (1/6)⁻²? =
  34. 34.What is the value of 5⁴? =
  35. 35.Write 9,50,000 in standard form as 9.5 × 10ⁿ. What is n?
  36. 36.What is the value of 3² × 3⁻²? =
  37. 37.What is the value of 2⁶? =
  38. 38.What is the value of 8²? =
  39. 39.What is the value of 5⁵ × 5⁻⁶? =
  40. 40.What is the value of 3² × 3⁻¹? =

Answer key

  1. 6
  2. 120
  3. 7
  4. 13
  5. 12
  6. 0.065
  7. 8
  8. 32768
  9. 6561
  10. 4096
  11. 1/512
  12. 4
  13. 290000
  14. 0.00034
  15. 1/8
  16. 4
  17. 0.00011
  18. 0.0063
  19. 625
  20. 1/256
  21. 5
  22. 128
  23. 0.04
  24. 8
  25. 14
  26. 14
  27. 16
  28. 16/9
  29. 1/3
  30. 16
  31. 1/81
  32. 8
  33. 36
  34. 625
  35. 5
  36. 1
  37. 64
  38. 64
  39. 1/5
  40. 3

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