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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 150 · 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 87,000 in standard form as 8.7 × 10ⁿ. What is n?
  2. 2.Write 9⁶ × 9⁹ as a single power 9ⁿ. What is n?
  3. 3.Write 1.6 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 2¹⁴? =
  5. 5.What is the value of 5³ × 5⁻⁵? =
  6. 6.Write 6¹⁴ ÷ 6⁵ as a single power 6ⁿ. What is n?
  7. 7.Write 7.8 × 10⁻² as a decimal. =
  8. 8.Write 9⁶ × 9⁵ as a single power 9ⁿ. What is n?
  9. 9.8.3 × 10⁶ =
  10. 10.5.5 × 10⁷ =
  11. 11.Write (3³)⁷ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 2³ × 2⁻¹? =
  13. 13.What is the value of 7²? =
  14. 14.Write 6² × 6² as a single power 6ⁿ. What is n?
  15. 15.What is the value of 3⁻³ (as a fraction)? =
  16. 16.What is the value of 3⁴? =
  17. 17.Write 3¹³ ÷ 3⁶ as a single power 3ⁿ. What is n?
  18. 18.Write 9⁶ ÷ 9³ as a single power 9ⁿ. What is n?
  19. 19.Write 5¹² ÷ 5⁴ as a single power 5ⁿ. What is n?
  20. 20.Write (5⁶)⁵ as a single power 5ⁿ. What is n?
  21. 21.What is the value of 4⁶? =
  22. 22.7.9 × 10² =
  23. 23.What is the value of (3/5)⁻²? =
  24. 24.What is the value of 2⁴ × 2⁻¹? =
  25. 25.What is the value of (4/9)⁻²? =
  26. 26.What is the value of 6⁶? =
  27. 27.Write 3³ × 3³ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 10³? =
  29. 29.What is the value of 6⁴? =
  30. 30.What is the value of 6⁻³ (as a fraction)? =
  31. 31.Write 3,30,000 in standard form as 3.3 × 10ⁿ. What is n?
  32. 32.Write 6.6 × 10⁻¹ as a decimal. =
  33. 33.Write 3¹¹ ÷ 3³ as a single power 3ⁿ. What is n?
  34. 34.What is the value of (5/9)⁻²? =
  35. 35.What is the value of (7/9)⁻¹? =
  36. 36.What is the value of (7/8)⁻²? =
  37. 37.Write 7,30,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  38. 38.Write 7² × 7³ as a single power 7ⁿ. What is n?
  39. 39.Write 7.9 × 10⁻³ as a decimal. =
  40. 40.What is the value of 2¹⁶? =

Answer key

  1. 4
  2. 15
  3. 0.00016
  4. 16384
  5. 1/25
  6. 9
  7. 0.078
  8. 11
  9. 8300000
  10. 55000000
  11. 21
  12. 4
  13. 49
  14. 4
  15. 1/27
  16. 81
  17. 7
  18. 3
  19. 8
  20. 30
  21. 4096
  22. 790
  23. 25/9
  24. 8
  25. 81/16
  26. 46656
  27. 6
  28. 1000
  29. 1296
  30. 1/216
  31. 5
  32. 0.66
  33. 8
  34. 81/25
  35. 9/7
  36. 64/49
  37. 7
  38. 5
  39. 0.0079
  40. 65536

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