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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 699 · 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 3³? =
  2. 2.What is the value of 8³? =
  3. 3.Write 2,50,000 in standard form as 2.5 × 10ⁿ. What is n?
  4. 4.Write 6.3 × 10⁻¹ as a decimal. =
  5. 5.2.4 × 10⁵ =
  6. 6.2.4 × 10³ =
  7. 7.What is the value of 3⁹? =
  8. 8.What is the value of 2¹²? =
  9. 9.What is the value of 2¹ × 2⁻⁴? =
  10. 10.Write (4⁷)⁹ as a single power 4ⁿ. What is n?
  11. 11.Write 8.2 × 10⁻¹ as a decimal. =
  12. 12.What is the value of (5/9)⁻²? =
  13. 13.Write 160 in standard form as 1.6 × 10ⁿ. What is n?
  14. 14.Write 7.5 × 10⁻² as a decimal. =
  15. 15.Write 880 in standard form as 8.8 × 10ⁿ. What is n?
  16. 16.What is the value of 2¹³? =
  17. 17.Write 8 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of 2⁵ × 2⁻³? =
  19. 19.Write 4³ × 4² as a single power 4ⁿ. What is n?
  20. 20.Write 2¹⁵ ÷ 2⁷ as a single power 2ⁿ. What is n?
  21. 21.Write 8⁹ ÷ 8⁴ as a single power 8ⁿ. What is n?
  22. 22.Write 7² × 7² as a single power 7ⁿ. What is n?
  23. 23.What is the value of 6⁵? =
  24. 24.Write 130 in standard form as 1.3 × 10ⁿ. What is n?
  25. 25.What is the value of 3⁵ × 3⁻⁵? =
  26. 26.What is the value of 2¹ × 2⁻⁶? =
  27. 27.What is the value of (8/9)⁻¹? =
  28. 28.Write 2⁹ × 2⁸ as a single power 2ⁿ. What is n?
  29. 29.What is the value of (1/3)⁻¹? =
  30. 30.What is the value of 2⁵ × 2⁻⁵? =
  31. 31.Write (9⁸)³ as a single power 9ⁿ. What is n?
  32. 32.What is the value of 7⁵? =
  33. 33.Write (4⁶)⁵ as a single power 4ⁿ. What is n?
  34. 34.What is the value of 2⁻⁹ (as a fraction)? =
  35. 35.What is the value of (3/8)⁻¹? =
  36. 36.Write 7.9 × 10⁻⁴ as a decimal. =
  37. 37.Write 5.1 × 10⁻¹ as a decimal. =
  38. 38.Write (8³)² as a single power 8ⁿ. What is n?
  39. 39.What is the value of 5¹ × 5⁻⁵? =
  40. 40.Write 1,200 in standard form as 1.2 × 10ⁿ. What is n?

Answer key

  1. 27
  2. 512
  3. 5
  4. 0.63
  5. 240000
  6. 2400
  7. 19683
  8. 4096
  9. 1/8
  10. 63
  11. 0.82
  12. 81/25
  13. 2
  14. 0.075
  15. 2
  16. 8192
  17. 0.0008
  18. 4
  19. 5
  20. 8
  21. 5
  22. 4
  23. 7776
  24. 2
  25. 1
  26. 1/32
  27. 9/8
  28. 17
  29. 3
  30. 1
  31. 24
  32. 16807
  33. 30
  34. 1/512
  35. 8/3
  36. 0.00079
  37. 0.51
  38. 6
  39. 1/625
  40. 3

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