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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 124 · 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 (4/9)⁻¹? =
  2. 2.What is the value of 2¹ × 2⁻⁴? =
  3. 3.Write 5.4 × 10⁻¹ as a decimal. =
  4. 4.Write 3.4 × 10⁻³ as a decimal. =
  5. 5.Write 3,300 in standard form as 3.3 × 10ⁿ. What is n?
  6. 6.What is the value of 2⁷? =
  7. 7.Write 4⁸ × 4⁸ as a single power 4ⁿ. What is n?
  8. 8.Write 8,300 in standard form as 8.3 × 10ⁿ. What is n?
  9. 9.What is the value of 8²? =
  10. 10.Write 3.7 × 10⁻² as a decimal. =
  11. 11.What is the value of 2⁴? =
  12. 12.Write 4.3 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of (4/9)⁻²? =
  14. 14.Write 9.4 × 10⁻⁴ as a decimal. =
  15. 15.6 × 10² =
  16. 16.Write 2⁴ × 2³ as a single power 2ⁿ. What is n?
  17. 17.6.8 × 10⁵ =
  18. 18.Write 2,500 in standard form as 2.5 × 10ⁿ. What is n?
  19. 19.What is the value of (5/8)⁻²? =
  20. 20.Write 6¹³ ÷ 6⁹ as a single power 6ⁿ. What is n?
  21. 21.What is the value of 3⁶? =
  22. 22.Write 2⁹ × 2⁷ as a single power 2ⁿ. What is n?
  23. 23.2.2 × 10⁵ =
  24. 24.What is the value of 4⁷? =
  25. 25.What is the value of (3/8)⁻¹? =
  26. 26.8.9 × 10⁷ =
  27. 27.Write 3.2 × 10⁻³ as a decimal. =
  28. 28.Write 34,000 in standard form as 3.4 × 10ⁿ. What is n?
  29. 29.9.4 × 10⁵ =
  30. 30.Write 2.6 × 10⁻³ as a decimal. =
  31. 31.Write 4⁶ × 4³ as a single power 4ⁿ. What is n?
  32. 32.Write 12,000 in standard form as 1.2 × 10ⁿ. What is n?
  33. 33.Write 3⁹ × 3² as a single power 3ⁿ. What is n?
  34. 34.What is the value of 2¹ × 2⁻¹? =
  35. 35.What is the value of 5³? =
  36. 36.Write 9⁸ × 9⁹ as a single power 9ⁿ. What is n?
  37. 37.What is the value of 3² × 3⁻⁴? =
  38. 38.Write 9.2 × 10⁻¹ as a decimal. =
  39. 39.Write 8,30,00,000 in standard form as 8.3 × 10ⁿ. What is n?
  40. 40.Write 7,60,00,000 in standard form as 7.6 × 10ⁿ. What is n?

Answer key

  1. 9/4
  2. 1/8
  3. 0.54
  4. 0.0034
  5. 3
  6. 128
  7. 16
  8. 3
  9. 64
  10. 0.037
  11. 16
  12. 0.00043
  13. 81/16
  14. 0.00094
  15. 600
  16. 7
  17. 680000
  18. 3
  19. 64/25
  20. 4
  21. 729
  22. 16
  23. 220000
  24. 16384
  25. 8/3
  26. 89000000
  27. 0.0032
  28. 4
  29. 940000
  30. 0.0026
  31. 9
  32. 4
  33. 11
  34. 1
  35. 125
  36. 17
  37. 1/9
  38. 0.92
  39. 7
  40. 7

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