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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 609 · 40 sums
TalentJR

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.Write 2,30,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  2. 2.Write 5.5 × 10⁻⁴ as a decimal. =
  3. 3.Write 3⁹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  4. 4.Write 4.7 × 10⁻³ as a decimal. =
  5. 5.4.1 × 10⁷ =
  6. 6.Write 3.6 × 10⁻² as a decimal. =
  7. 7.Write (6²)⁸ as a single power 6ⁿ. What is n?
  8. 8.Write 3⁶ × 3² as a single power 3ⁿ. What is n?
  9. 9.Write 2² × 2⁶ as a single power 2ⁿ. What is n?
  10. 10.Write 4.3 × 10⁻¹ as a decimal. =
  11. 11.Write 7⁶ ÷ 7³ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 2¹⁶? =
  13. 13.What is the value of 10⁶ × 10⁻²? =
  14. 14.What is the value of 2⁻² (as a fraction)? =
  15. 15.What is the value of 10⁶ × 10⁻⁵? =
  16. 16.Write 4¹⁴ ÷ 4⁶ as a single power 4ⁿ. What is n?
  17. 17.Write 8⁹ × 8² as a single power 8ⁿ. What is n?
  18. 18.Write (5⁸)² as a single power 5ⁿ. What is n?
  19. 19.3.2 × 10³ =
  20. 20.Write 6.3 × 10⁻¹ as a decimal. =
  21. 21.7.7 × 10⁶ =
  22. 22.Write 1,70,000 in standard form as 1.7 × 10ⁿ. What is n?
  23. 23.Write (2³)⁴ as a single power 2ⁿ. What is n?
  24. 24.Write 1,300 in standard form as 1.3 × 10ⁿ. What is n?
  25. 25.What is the value of 5² × 5⁻⁶? =
  26. 26.Write 4² × 4⁶ as a single power 4ⁿ. What is n?
  27. 27.What is the value of 10² × 10⁻⁵? =
  28. 28.What is the value of 5⁶? =
  29. 29.Write (3⁴)³ as a single power 3ⁿ. What is n?
  30. 30.Write 6¹² ÷ 6⁴ as a single power 6ⁿ. What is n?
  31. 31.What is the value of 3¹ × 3⁻²? =
  32. 32.Write 7.5 × 10⁻³ as a decimal. =
  33. 33.What is the value of 2⁵ × 2⁻¹? =
  34. 34.What is the value of 2⁶ × 2⁻³? =
  35. 35.Write 9.6 × 10⁻² as a decimal. =
  36. 36.What is the value of (3/7)⁻¹? =
  37. 37.Write 2.9 × 10⁻² as a decimal. =
  38. 38.What is the value of 8⁵? =
  39. 39.What is the value of 2²? =
  40. 40.Write 5¹⁷ ÷ 5⁹ as a single power 5ⁿ. What is n?

Answer key

  1. 7
  2. 0.00055
  3. 2
  4. 0.0047
  5. 41000000
  6. 0.036
  7. 16
  8. 8
  9. 8
  10. 0.43
  11. 3
  12. 65536
  13. 10000
  14. 1/4
  15. 10
  16. 8
  17. 11
  18. 16
  19. 3200
  20. 0.63
  21. 7700000
  22. 5
  23. 12
  24. 3
  25. 1/625
  26. 8
  27. 1/1000
  28. 15625
  29. 12
  30. 8
  31. 1/3
  32. 0.0075
  33. 16
  34. 8
  35. 0.096
  36. 7/3
  37. 0.029
  38. 32768
  39. 4
  40. 8

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