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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 845 · 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. 1.2.6 × 10² =
  2. 2.Write 3.1 × 10⁻⁴ as a decimal. =
  3. 3.Write 6⁴ × 6⁸ as a single power 6ⁿ. What is n?
  4. 4.Write 9⁶ ÷ 9² as a single power 9ⁿ. What is n?
  5. 5.What is the value of 3⁴ × 3⁻¹? =
  6. 6.Write (8³)³ as a single power 8ⁿ. What is n?
  7. 7.Write 990 in standard form as 9.9 × 10ⁿ. What is n?
  8. 8.What is the value of 7²? =
  9. 9.3.6 × 10² =
  10. 10.Write 2.9 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 8⁴? =
  12. 12.What is the value of 3¹ × 3⁻¹? =
  13. 13.What is the value of (2/9)⁻²? =
  14. 14.5.1 × 10⁶ =
  15. 15.Write 2¹³ ÷ 2⁷ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 4⁶? =
  17. 17.What is the value of (7/9)⁻²? =
  18. 18.Write 3 × 10⁻¹ as a decimal. =
  19. 19.9.1 × 10⁵ =
  20. 20.Write 8 × 10⁻³ as a decimal. =
  21. 21.What is the value of 5⁻¹ (as a fraction)? =
  22. 22.What is the value of 10⁴? =
  23. 23.Write 9³ × 9⁵ as a single power 9ⁿ. What is n?
  24. 24.Write 8,50,000 in standard form as 8.5 × 10ⁿ. What is n?
  25. 25.What is the value of 10² × 10⁻⁶? =
  26. 26.What is the value of 2⁷? =
  27. 27.Write (6⁶)⁴ as a single power 6ⁿ. What is n?
  28. 28.What is the value of 6²? =
  29. 29.What is the value of (6/7)⁻¹? =
  30. 30.Write 810 in standard form as 8.1 × 10ⁿ. What is n?
  31. 31.What is the value of 6³? =
  32. 32.Write 1.8 × 10⁻⁴ as a decimal. =
  33. 33.What is the value of 2¹ × 2⁻⁶? =
  34. 34.Write (6³)⁶ as a single power 6ⁿ. What is n?
  35. 35.What is the value of 2⁻⁷ (as a fraction)? =
  36. 36.What is the value of 10⁴ × 10⁻⁴? =
  37. 37.Write 2.8 × 10⁻² as a decimal. =
  38. 38.Write (7⁶)⁹ as a single power 7ⁿ. What is n?
  39. 39.Write (8³)⁹ as a single power 8ⁿ. What is n?
  40. 40.Write 8,90,00,000 in standard form as 8.9 × 10ⁿ. What is n?

Answer key

  1. 260
  2. 0.00031
  3. 12
  4. 4
  5. 27
  6. 9
  7. 2
  8. 49
  9. 360
  10. 0.00029
  11. 4096
  12. 1
  13. 81/4
  14. 5100000
  15. 6
  16. 4096
  17. 81/49
  18. 0.3
  19. 910000
  20. 0.008
  21. 1/5
  22. 10000
  23. 8
  24. 5
  25. 1/10000
  26. 128
  27. 24
  28. 36
  29. 7/6
  30. 2
  31. 216
  32. 0.00018
  33. 1/32
  34. 18
  35. 1/128
  36. 1
  37. 0.028
  38. 54
  39. 27
  40. 7

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