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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 350 · 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. 1.3.4 × 10⁷ =
  2. 2.Write 7,300 in standard form as 7.3 × 10ⁿ. What is n?
  3. 3.Write 2² × 2² as a single power 2ⁿ. What is n?
  4. 4.What is the value of 5³ × 5⁻²? =
  5. 5.Write 7⁵ × 7³ as a single power 7ⁿ. What is n?
  6. 6.Write 7.7 × 10⁻³ as a decimal. =
  7. 7.Write 4,70,000 in standard form as 4.7 × 10ⁿ. What is n?
  8. 8.What is the value of (7/8)⁻¹? =
  9. 9.What is the value of 4⁶? =
  10. 10.What is the value of (2/7)⁻²? =
  11. 11.Write 3⁶ × 3³ as a single power 3ⁿ. What is n?
  12. 12.Write 8⁴ ÷ 8² as a single power 8ⁿ. What is n?
  13. 13.What is the value of 2⁴ × 2⁻²? =
  14. 14.What is the value of 2² × 2⁻⁶? =
  15. 15.What is the value of 5³ × 5⁻¹? =
  16. 16.What is the value of 5⁵ × 5⁻⁵? =
  17. 17.Write 1.5 × 10⁻² as a decimal. =
  18. 18.Write (3²)⁴ as a single power 3ⁿ. What is n?
  19. 19.Write 2.2 × 10⁻³ as a decimal. =
  20. 20.3.7 × 10⁶ =
  21. 21.2.7 × 10⁷ =
  22. 22.What is the value of 3⁴ × 3⁻²? =
  23. 23.Write (6⁷)⁸ as a single power 6ⁿ. What is n?
  24. 24.Write 6 × 10⁻¹ as a decimal. =
  25. 25.Write 6⁸ ÷ 6⁴ as a single power 6ⁿ. What is n?
  26. 26.Write (6⁷)² as a single power 6ⁿ. What is n?
  27. 27.What is the value of 7²? =
  28. 28.1.1 × 10³ =
  29. 29.What is the value of 2⁴ × 2⁻⁶? =
  30. 30.5 × 10⁴ =
  31. 31.Write 2⁷ × 2³ as a single power 2ⁿ. What is n?
  32. 32.What is the value of 2⁸? =
  33. 33.Write 4⁹ × 4⁵ as a single power 4ⁿ. What is n?
  34. 34.What is the value of (1/4)⁻¹? =
  35. 35.Write 4,80,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  36. 36.Write 4⁶ × 4⁹ as a single power 4ⁿ. What is n?
  37. 37.Write 4² × 4⁵ as a single power 4ⁿ. What is n?
  38. 38.2 × 10⁵ =
  39. 39.Write 8.1 × 10⁻² as a decimal. =
  40. 40.Write 1.4 × 10⁻³ as a decimal. =

Answer key

  1. 34000000
  2. 3
  3. 4
  4. 5
  5. 8
  6. 0.0077
  7. 5
  8. 8/7
  9. 4096
  10. 49/4
  11. 9
  12. 2
  13. 4
  14. 1/16
  15. 25
  16. 1
  17. 0.015
  18. 8
  19. 0.0022
  20. 3700000
  21. 27000000
  22. 9
  23. 56
  24. 0.6
  25. 4
  26. 14
  27. 49
  28. 1100
  29. 1/4
  30. 50000
  31. 10
  32. 256
  33. 14
  34. 4
  35. 7
  36. 15
  37. 7
  38. 200000
  39. 0.081
  40. 0.0014

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