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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 691 · 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 9.3 × 10⁻³ as a decimal. =
  2. 2.Write 220 in standard form as 2.2 × 10ⁿ. What is n?
  3. 3.Write 1,40,000 in standard form as 1.4 × 10ⁿ. What is n?
  4. 4.Write 4.5 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 3³? =
  6. 6.What is the value of 7⁻¹ (as a fraction)? =
  7. 7.Write 85,000 in standard form as 8.5 × 10ⁿ. What is n?
  8. 8.Write 8.3 × 10⁻² as a decimal. =
  9. 9.What is the value of 3¹⁰? =
  10. 10.What is the value of 2⁻⁷ (as a fraction)? =
  11. 11.What is the value of 10¹ × 10⁻³? =
  12. 12.Write 2⁸ ÷ 2⁴ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 9³? =
  14. 14.Write 3¹⁰ ÷ 3⁸ as a single power 3ⁿ. What is n?
  15. 15.What is the value of (4/5)⁻²? =
  16. 16.Write (9⁵)⁷ as a single power 9ⁿ. What is n?
  17. 17.Write (5⁹)⁴ as a single power 5ⁿ. What is n?
  18. 18.What is the value of 10² × 10⁻⁵? =
  19. 19.What is the value of (1/5)⁻²? =
  20. 20.What is the value of 10⁵ × 10⁻²? =
  21. 21.Write 9.3 × 10⁻² as a decimal. =
  22. 22.Write (5⁴)⁹ as a single power 5ⁿ. What is n?
  23. 23.What is the value of 8⁵? =
  24. 24.Write (9⁸)² as a single power 9ⁿ. What is n?
  25. 25.What is the value of 6³? =
  26. 26.7.3 × 10⁴ =
  27. 27.Write 2² × 2² as a single power 2ⁿ. What is n?
  28. 28.9.3 × 10⁵ =
  29. 29.What is the value of 10⁶ × 10⁻³? =
  30. 30.Write 9⁹ × 9³ as a single power 9ⁿ. What is n?
  31. 31.1.1 × 10³ =
  32. 32.Write 9⁷ ÷ 9² as a single power 9ⁿ. What is n?
  33. 33.What is the value of 5⁵? =
  34. 34.What is the value of 2² × 2⁻⁶? =
  35. 35.What is the value of 10⁶ × 10⁻⁴? =
  36. 36.Write 7.7 × 10⁻¹ as a decimal. =
  37. 37.Write 4.9 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 10⁴ × 10⁻³? =
  39. 39.What is the value of 2⁴ × 2⁻²? =
  40. 40.Write 2⁸ × 2⁶ as a single power 2ⁿ. What is n?

Answer key

  1. 0.0093
  2. 2
  3. 5
  4. 0.45
  5. 27
  6. 1/7
  7. 4
  8. 0.083
  9. 59049
  10. 1/128
  11. 1/100
  12. 4
  13. 729
  14. 2
  15. 25/16
  16. 35
  17. 36
  18. 1/1000
  19. 25
  20. 1000
  21. 0.093
  22. 36
  23. 32768
  24. 16
  25. 216
  26. 73000
  27. 4
  28. 930000
  29. 1000
  30. 12
  31. 1100
  32. 5
  33. 3125
  34. 1/16
  35. 100
  36. 0.77
  37. 0.00049
  38. 10
  39. 4
  40. 14

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