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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 326 · 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.What is the value of 3² × 3⁻⁵? =
  2. 2.What is the value of (3/7)⁻¹? =
  3. 3.Write 4.3 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 6⁻² (as a fraction)? =
  5. 5.What is the value of 2¹⁵? =
  6. 6.8.2 × 10⁷ =
  7. 7.What is the value of 4⁻¹ (as a fraction)? =
  8. 8.Write 8⁸ ÷ 8² as a single power 8ⁿ. What is n?
  9. 9.Write 2.7 × 10⁻⁴ as a decimal. =
  10. 10.What is the value of 3¹ × 3⁻²? =
  11. 11.What is the value of (6/7)⁻¹? =
  12. 12.Write 58,000 in standard form as 5.8 × 10ⁿ. What is n?
  13. 13.Write (3⁹)⁵ as a single power 3ⁿ. What is n?
  14. 14.Write 7⁹ × 7⁷ as a single power 7ⁿ. What is n?
  15. 15.Write 1.9 × 10⁻³ as a decimal. =
  16. 16.What is the value of 3⁻² (as a fraction)? =
  17. 17.Write (6⁶)⁹ as a single power 6ⁿ. What is n?
  18. 18.Write 4 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of 2¹⁶? =
  20. 20.What is the value of 3⁻³ (as a fraction)? =
  21. 21.What is the value of 5¹ × 5⁻²? =
  22. 22.What is the value of 2⁴? =
  23. 23.What is the value of 4⁶? =
  24. 24.Write 9⁶ ÷ 9³ as a single power 9ⁿ. What is n?
  25. 25.What is the value of 2⁶? =
  26. 26.What is the value of 2⁸? =
  27. 27.Write 4,00,00,000 in standard form as 4 × 10ⁿ. What is n?
  28. 28.What is the value of 2¹ × 2⁻¹? =
  29. 29.Write (2²)⁶ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 2⁵ × 2⁻⁶? =
  31. 31.Write 2.6 × 10⁻² as a decimal. =
  32. 32.What is the value of 2¹⁰? =
  33. 33.What is the value of 5⁵ × 5⁻¹? =
  34. 34.Write 8⁸ × 8⁹ as a single power 8ⁿ. What is n?
  35. 35.6.5 × 10² =
  36. 36.Write 7,200 in standard form as 7.2 × 10ⁿ. What is n?
  37. 37.What is the value of 7⁻³ (as a fraction)? =
  38. 38.What is the value of (5/8)⁻¹? =
  39. 39.Write 7⁵ × 7⁹ as a single power 7ⁿ. What is n?
  40. 40.Write 2⁵ × 2³ as a single power 2ⁿ. What is n?

Answer key

  1. 1/27
  2. 7/3
  3. 0.43
  4. 1/36
  5. 32768
  6. 82000000
  7. 1/4
  8. 6
  9. 0.00027
  10. 1/3
  11. 7/6
  12. 4
  13. 45
  14. 16
  15. 0.0019
  16. 1/9
  17. 54
  18. 0.0004
  19. 65536
  20. 1/27
  21. 1/5
  22. 16
  23. 4096
  24. 3
  25. 64
  26. 256
  27. 7
  28. 1
  29. 12
  30. 1/2
  31. 0.026
  32. 1024
  33. 625
  34. 17
  35. 650
  36. 3
  37. 1/343
  38. 8/5
  39. 14
  40. 8

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