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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 680 · 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 5¹ × 5⁻⁴? =
  2. 2.Write 2³ × 2² as a single power 2ⁿ. What is n?
  3. 3.What is the value of 7⁻² (as a fraction)? =
  4. 4.What is the value of 3⁸? =
  5. 5.What is the value of 6⁴? =
  6. 6.5.2 × 10⁵ =
  7. 7.What is the value of (1/7)⁻²? =
  8. 8.Write 5¹⁵ ÷ 5⁹ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 8²? =
  10. 10.Write 9 × 10⁻¹ as a decimal. =
  11. 11.Write 6⁴ × 6⁸ as a single power 6ⁿ. What is n?
  12. 12.Write 81,00,000 in standard form as 8.1 × 10ⁿ. What is n?
  13. 13.Write 8⁸ × 8⁷ as a single power 8ⁿ. What is n?
  14. 14.What is the value of 5² × 5⁻⁶? =
  15. 15.Write 8,00,000 in standard form as 8 × 10ⁿ. What is n?
  16. 16.What is the value of (2/5)⁻²? =
  17. 17.4.9 × 10⁷ =
  18. 18.Write 8² × 8⁵ as a single power 8ⁿ. What is n?
  19. 19.Write 89,000 in standard form as 8.9 × 10ⁿ. What is n?
  20. 20.What is the value of 3¹⁰? =
  21. 21.Write 5.5 × 10⁻³ as a decimal. =
  22. 22.Write 35,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  23. 23.What is the value of 3⁶ × 3⁻⁴? =
  24. 24.2.9 × 10⁶ =
  25. 25.5.4 × 10⁷ =
  26. 26.What is the value of 3² × 3⁻³? =
  27. 27.What is the value of 2¹ × 2⁻⁶? =
  28. 28.Write 18,000 in standard form as 1.8 × 10ⁿ. What is n?
  29. 29.What is the value of 2³? =
  30. 30.Write 3⁵ × 3⁷ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 9⁻³ (as a fraction)? =
  32. 32.What is the value of 5⁵ × 5⁻⁵? =
  33. 33.Write 7,30,000 in standard form as 7.3 × 10ⁿ. What is n?
  34. 34.What is the value of 6²? =
  35. 35.What is the value of 2⁻² (as a fraction)? =
  36. 36.What is the value of (3/7)⁻²? =
  37. 37.What is the value of (7/8)⁻²? =
  38. 38.What is the value of 7³? =
  39. 39.3.9 × 10⁷ =
  40. 40.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?

Answer key

  1. 1/125
  2. 5
  3. 1/49
  4. 6561
  5. 1296
  6. 520000
  7. 49
  8. 6
  9. 64
  10. 0.9
  11. 12
  12. 6
  13. 15
  14. 1/625
  15. 5
  16. 25/4
  17. 49000000
  18. 7
  19. 4
  20. 59049
  21. 0.0055
  22. 6
  23. 9
  24. 2900000
  25. 54000000
  26. 1/3
  27. 1/32
  28. 4
  29. 8
  30. 12
  31. 1/729
  32. 1
  33. 5
  34. 36
  35. 1/4
  36. 49/9
  37. 64/49
  38. 343
  39. 39000000
  40. 12

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