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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 870 · 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 9³? =
  2. 2.Write 6.4 × 10⁻³ as a decimal. =
  3. 3.What is the value of (5/7)⁻¹? =
  4. 4.What is the value of (1/6)⁻²? =
  5. 5.What is the value of 7³? =
  6. 6.What is the value of 2³ × 2⁻⁵? =
  7. 7.Write 3⁹ ÷ 3⁵ as a single power 3ⁿ. What is n?
  8. 8.What is the value of 9⁵? =
  9. 9.Write 7,30,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  10. 10.What is the value of 2⁷? =
  11. 11.What is the value of (3/5)⁻¹? =
  12. 12.Write 9,90,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  13. 13.Write 7¹⁰ ÷ 7⁸ as a single power 7ⁿ. What is n?
  14. 14.Write 7 × 10⁻³ as a decimal. =
  15. 15.Write 2¹⁰ ÷ 2⁴ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 8⁻² (as a fraction)? =
  17. 17.What is the value of 10⁶ × 10⁻⁶? =
  18. 18.8.6 × 10³ =
  19. 19.What is the value of 2⁻⁹ (as a fraction)? =
  20. 20.Write 8.3 × 10⁻¹ as a decimal. =
  21. 21.Write 6.3 × 10⁻² as a decimal. =
  22. 22.What is the value of 9⁴? =
  23. 23.Write 9¹⁶ ÷ 9⁹ as a single power 9ⁿ. What is n?
  24. 24.What is the value of (4/7)⁻¹? =
  25. 25.Write 8⁶ ÷ 8³ as a single power 8ⁿ. What is n?
  26. 26.What is the value of 2⁸? =
  27. 27.9.6 × 10⁷ =
  28. 28.Write 6¹³ ÷ 6⁹ as a single power 6ⁿ. What is n?
  29. 29.What is the value of 10² × 10⁻³? =
  30. 30.What is the value of 10³ × 10⁻³? =
  31. 31.What is the value of (6/7)⁻²? =
  32. 32.Write 2⁶ ÷ 2³ as a single power 2ⁿ. What is n?
  33. 33.9 × 10⁵ =
  34. 34.Write 3⁴ × 3⁸ as a single power 3ⁿ. What is n?
  35. 35.Write 1.8 × 10⁻¹ as a decimal. =
  36. 36.Write 4.1 × 10⁻² as a decimal. =
  37. 37.7.4 × 10⁷ =
  38. 38.What is the value of 2⁻¹ (as a fraction)? =
  39. 39.What is the value of 10⁴? =
  40. 40.What is the value of 10¹ × 10⁻⁵? =

Answer key

  1. 729
  2. 0.0064
  3. 7/5
  4. 36
  5. 343
  6. 1/4
  7. 4
  8. 59049
  9. 7
  10. 128
  11. 5/3
  12. 7
  13. 2
  14. 0.007
  15. 6
  16. 1/64
  17. 1
  18. 8600
  19. 1/512
  20. 0.83
  21. 0.063
  22. 6561
  23. 7
  24. 7/4
  25. 3
  26. 256
  27. 96000000
  28. 4
  29. 1/10
  30. 1
  31. 49/36
  32. 3
  33. 900000
  34. 12
  35. 0.18
  36. 0.041
  37. 74000000
  38. 1/2
  39. 10000
  40. 1/10000

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