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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 607 · 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 (3⁴)² as a single power 3ⁿ. What is n?
  2. 2.What is the value of 5¹ × 5⁻³? =
  3. 3.What is the value of 10⁵? =
  4. 4.Write 5.9 × 10⁻² as a decimal. =
  5. 5.What is the value of (7/8)⁻¹? =
  6. 6.Write 8⁴ × 8⁷ as a single power 8ⁿ. What is n?
  7. 7.What is the value of (1/7)⁻¹? =
  8. 8.What is the value of 3⁶? =
  9. 9.Write 8,400 in standard form as 8.4 × 10ⁿ. What is n?
  10. 10.What is the value of 3⁵? =
  11. 11.What is the value of 3¹⁰? =
  12. 12.What is the value of 2¹ × 2⁻⁴? =
  13. 13.Write (9⁵)⁸ as a single power 9ⁿ. What is n?
  14. 14.Write 2¹⁵ ÷ 2⁸ as a single power 2ⁿ. What is n?
  15. 15.What is the value of 7²? =
  16. 16.Write 2.9 × 10⁻⁴ as a decimal. =
  17. 17.Write 8,50,000 in standard form as 8.5 × 10ⁿ. What is n?
  18. 18.Write 28,000 in standard form as 2.8 × 10ⁿ. What is n?
  19. 19.What is the value of 9⁵? =
  20. 20.Write 7² × 7⁷ as a single power 7ⁿ. What is n?
  21. 21.Write 3.9 × 10⁻² as a decimal. =
  22. 22.Write 6 × 10⁻¹ as a decimal. =
  23. 23.4.8 × 10³ =
  24. 24.What is the value of (1/9)⁻¹? =
  25. 25.What is the value of (3/5)⁻²? =
  26. 26.What is the value of 5⁶ × 5⁻⁵? =
  27. 27.What is the value of 4⁶? =
  28. 28.1.6 × 10³ =
  29. 29.What is the value of 2⁻⁸ (as a fraction)? =
  30. 30.Write 5.8 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 2⁴ × 2⁻²? =
  32. 32.What is the value of 2³? =
  33. 33.What is the value of 3³ × 3⁻⁴? =
  34. 34.What is the value of 2⁻⁹ (as a fraction)? =
  35. 35.What is the value of 2⁵? =
  36. 36.What is the value of 5⁵ × 5⁻⁶? =
  37. 37.What is the value of 3¹ × 3⁻²? =
  38. 38.What is the value of (4/7)⁻¹? =
  39. 39.What is the value of 2⁴? =
  40. 40.Write 8³ × 8² as a single power 8ⁿ. What is n?

Answer key

  1. 8
  2. 1/25
  3. 100000
  4. 0.059
  5. 8/7
  6. 11
  7. 7
  8. 729
  9. 3
  10. 243
  11. 59049
  12. 1/8
  13. 40
  14. 7
  15. 49
  16. 0.00029
  17. 5
  18. 4
  19. 59049
  20. 9
  21. 0.039
  22. 0.6
  23. 4800
  24. 9
  25. 25/9
  26. 5
  27. 4096
  28. 1600
  29. 1/256
  30. 0.00058
  31. 4
  32. 8
  33. 1/3
  34. 1/512
  35. 32
  36. 1/5
  37. 1/3
  38. 7/4
  39. 16
  40. 5

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