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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 561 · 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 4⁴? =
  2. 2.What is the value of 2²? =
  3. 3.5.4 × 10⁶ =
  4. 4.Write 5⁵ × 5⁹ as a single power 5ⁿ. What is n?
  5. 5.What is the value of 3⁴ × 3⁻¹? =
  6. 6.What is the value of 4²? =
  7. 7.8.9 × 10⁶ =
  8. 8.What is the value of (2/7)⁻²? =
  9. 9.9.2 × 10² =
  10. 10.Write 3.6 × 10⁻² as a decimal. =
  11. 11.Write 5.5 × 10⁻³ as a decimal. =
  12. 12.Write 2¹² ÷ 2⁶ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 5⁵? =
  14. 14.Write 1.5 × 10⁻² as a decimal. =
  15. 15.5.3 × 10⁶ =
  16. 16.What is the value of 3⁵? =
  17. 17.Write 6⁶ × 6⁶ as a single power 6ⁿ. What is n?
  18. 18.What is the value of 10³? =
  19. 19.What is the value of 3⁷? =
  20. 20.Write 4,80,000 in standard form as 4.8 × 10ⁿ. What is n?
  21. 21.What is the value of 5⁴? =
  22. 22.Write 3,10,000 in standard form as 3.1 × 10ⁿ. What is n?
  23. 23.What is the value of 5³ × 5⁻⁵? =
  24. 24.Write 380 in standard form as 3.8 × 10ⁿ. What is n?
  25. 25.Write 69,000 in standard form as 6.9 × 10ⁿ. What is n?
  26. 26.What is the value of 3² × 3⁻²? =
  27. 27.What is the value of 9⁻¹ (as a fraction)? =
  28. 28.What is the value of 2⁴ × 2⁻³? =
  29. 29.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
  30. 30.Write (5⁷)⁶ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 3²? =
  32. 32.Write 58,00,000 in standard form as 5.8 × 10ⁿ. What is n?
  33. 33.What is the value of 3¹ × 3⁻²? =
  34. 34.Write 54,000 in standard form as 5.4 × 10ⁿ. What is n?
  35. 35.Write 6¹² ÷ 6⁹ as a single power 6ⁿ. What is n?
  36. 36.What is the value of 2⁻¹ (as a fraction)? =
  37. 37.Write 4⁷ × 4⁹ as a single power 4ⁿ. What is n?
  38. 38.Write 3¹⁵ ÷ 3⁸ as a single power 3ⁿ. What is n?
  39. 39.Write (7⁵)⁷ as a single power 7ⁿ. What is n?
  40. 40.What is the value of 10⁶ × 10⁻¹? =

Answer key

  1. 256
  2. 4
  3. 5400000
  4. 14
  5. 27
  6. 16
  7. 8900000
  8. 49/4
  9. 920
  10. 0.036
  11. 0.0055
  12. 6
  13. 3125
  14. 0.015
  15. 5300000
  16. 243
  17. 12
  18. 1000
  19. 2187
  20. 5
  21. 625
  22. 5
  23. 1/25
  24. 2
  25. 4
  26. 1
  27. 1/9
  28. 2
  29. 13
  30. 42
  31. 9
  32. 6
  33. 1/3
  34. 4
  35. 3
  36. 1/2
  37. 16
  38. 7
  39. 35
  40. 100000

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