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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 178 · 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 9.7 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 3⁻⁵ (as a fraction)? =
  3. 3.What is the value of 9²? =
  4. 4.Write 72,00,000 in standard form as 7.2 × 10ⁿ. What is n?
  5. 5.What is the value of (2/3)⁻²? =
  6. 6.What is the value of 5² × 5⁻³? =
  7. 7.What is the value of (7/8)⁻²? =
  8. 8.Write 5.7 × 10⁻² as a decimal. =
  9. 9.What is the value of (2/3)⁻¹? =
  10. 10.What is the value of 2¹ × 2⁻¹? =
  11. 11.What is the value of 2¹²? =
  12. 12.What is the value of 3⁹? =
  13. 13.What is the value of 4³? =
  14. 14.Write (8²)³ as a single power 8ⁿ. What is n?
  15. 15.Write 3¹⁷ ÷ 3⁹ as a single power 3ⁿ. What is n?
  16. 16.9.6 × 10⁷ =
  17. 17.What is the value of 7⁴? =
  18. 18.Write 2¹² ÷ 2⁴ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 4⁻⁴ (as a fraction)? =
  20. 20.What is the value of 10² × 10⁻¹? =
  21. 21.What is the value of 2⁹? =
  22. 22.Write (9⁴)⁵ as a single power 9ⁿ. What is n?
  23. 23.What is the value of 2² × 2⁻³? =
  24. 24.What is the value of 10⁴ × 10⁻²? =
  25. 25.Write 5.9 × 10⁻³ as a decimal. =
  26. 26.Write 9.2 × 10⁻³ as a decimal. =
  27. 27.What is the value of 3⁴? =
  28. 28.Write 5,50,00,000 in standard form as 5.5 × 10ⁿ. What is n?
  29. 29.What is the value of (1/6)⁻²? =
  30. 30.What is the value of 6⁻¹ (as a fraction)? =
  31. 31.Write 8.7 × 10⁻¹ as a decimal. =
  32. 32.5.1 × 10⁵ =
  33. 33.What is the value of 5² × 5⁻⁵? =
  34. 34.What is the value of 10⁻² (as a fraction)? =
  35. 35.Write 4¹² ÷ 4⁷ as a single power 4ⁿ. What is n?
  36. 36.What is the value of 10⁴ × 10⁻¹? =
  37. 37.What is the value of 4⁷? =
  38. 38.What is the value of 2⁴ × 2⁻³? =
  39. 39.What is the value of 9⁵? =
  40. 40.Write 9⁵ × 9³ as a single power 9ⁿ. What is n?

Answer key

  1. 0.97
  2. 1/243
  3. 81
  4. 6
  5. 9/4
  6. 1/5
  7. 64/49
  8. 0.057
  9. 3/2
  10. 1
  11. 4096
  12. 19683
  13. 64
  14. 6
  15. 8
  16. 96000000
  17. 2401
  18. 8
  19. 1/256
  20. 10
  21. 512
  22. 20
  23. 1/2
  24. 100
  25. 0.0059
  26. 0.0092
  27. 81
  28. 7
  29. 36
  30. 1/6
  31. 0.87
  32. 510000
  33. 1/125
  34. 1/100
  35. 5
  36. 1000
  37. 16384
  38. 2
  39. 59049
  40. 8

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