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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 131 · 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 9,70,00,000 in standard form as 9.7 × 10ⁿ. What is n?
  2. 2.Write 4¹⁰ ÷ 4² as a single power 4ⁿ. What is n?
  3. 3.What is the value of (1/4)⁻²? =
  4. 4.Write 5.8 × 10⁻³ as a decimal. =
  5. 5.Write 9.2 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of (1/7)⁻¹? =
  7. 7.What is the value of 4⁵? =
  8. 8.Write 8³ × 8³ as a single power 8ⁿ. What is n?
  9. 9.What is the value of (6/7)⁻¹? =
  10. 10.What is the value of 2²? =
  11. 11.What is the value of 8³? =
  12. 12.What is the value of (2/5)⁻¹? =
  13. 13.What is the value of 2⁵ × 2⁻⁶? =
  14. 14.What is the value of 10² × 10⁻⁶? =
  15. 15.What is the value of 8⁻¹ (as a fraction)? =
  16. 16.Write (7⁹)³ as a single power 7ⁿ. What is n?
  17. 17.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 3⁸? =
  19. 19.What is the value of 3⁵ × 3⁻³? =
  20. 20.Write 6,200 in standard form as 6.2 × 10ⁿ. What is n?
  21. 21.Write 6.6 × 10⁻² as a decimal. =
  22. 22.Write (7⁹)² as a single power 7ⁿ. What is n?
  23. 23.1.1 × 10⁶ =
  24. 24.Write 2.3 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 7⁵? =
  26. 26.Write 7³ × 7⁸ as a single power 7ⁿ. What is n?
  27. 27.Write (6⁹)² as a single power 6ⁿ. What is n?
  28. 28.What is the value of 10² × 10⁻²? =
  29. 29.Write 2¹⁴ ÷ 2⁷ as a single power 2ⁿ. What is n?
  30. 30.Write 2⁶ × 2³ as a single power 2ⁿ. What is n?
  31. 31.What is the value of (8/9)⁻¹? =
  32. 32.What is the value of 8²? =
  33. 33.2.6 × 10² =
  34. 34.What is the value of 2⁻⁴ (as a fraction)? =
  35. 35.Write (7²)² as a single power 7ⁿ. What is n?
  36. 36.Write (7³)⁷ as a single power 7ⁿ. What is n?
  37. 37.What is the value of 2² × 2⁻¹? =
  38. 38.Write 60,00,000 in standard form as 6 × 10ⁿ. What is n?
  39. 39.Write 4¹¹ ÷ 4⁸ as a single power 4ⁿ. What is n?
  40. 40.Write 2.5 × 10⁻² as a decimal. =

Answer key

  1. 7
  2. 8
  3. 16
  4. 0.0058
  5. 0.00092
  6. 7
  7. 1024
  8. 6
  9. 7/6
  10. 4
  11. 512
  12. 5/2
  13. 1/2
  14. 1/10000
  15. 1/8
  16. 27
  17. 24
  18. 6561
  19. 9
  20. 3
  21. 0.066
  22. 18
  23. 1100000
  24. 0.23
  25. 16807
  26. 11
  27. 18
  28. 1
  29. 7
  30. 9
  31. 9/8
  32. 64
  33. 260
  34. 1/16
  35. 4
  36. 21
  37. 2
  38. 6
  39. 3
  40. 0.025

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