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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 969 · 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 (1/4)⁻¹? =
  2. 2.What is the value of 10³ × 10⁻³? =
  3. 3.What is the value of 6⁻² (as a fraction)? =
  4. 4.3.7 × 10² =
  5. 5.What is the value of 9⁻² (as a fraction)? =
  6. 6.What is the value of (5/7)⁻¹? =
  7. 7.Write 1.8 × 10⁻⁴ as a decimal. =
  8. 8.What is the value of 3⁴ × 3⁻⁴? =
  9. 9.Write 3⁸ × 3³ as a single power 3ⁿ. What is n?
  10. 10.What is the value of 10²? =
  11. 11.What is the value of 3³? =
  12. 12.What is the value of 2⁹? =
  13. 13.What is the value of 4⁴? =
  14. 14.Write (7³)⁹ as a single power 7ⁿ. What is n?
  15. 15.Write 85,000 in standard form as 8.5 × 10ⁿ. What is n?
  16. 16.What is the value of 5³ × 5⁻²? =
  17. 17.What is the value of 10³? =
  18. 18.9.3 × 10⁴ =
  19. 19.What is the value of 3⁻² (as a fraction)? =
  20. 20.What is the value of 2⁻⁶ (as a fraction)? =
  21. 21.Write 3¹² ÷ 3⁴ as a single power 3ⁿ. What is n?
  22. 22.What is the value of (1/3)⁻²? =
  23. 23.What is the value of 6³? =
  24. 24.7 × 10⁴ =
  25. 25.What is the value of 2⁻⁸ (as a fraction)? =
  26. 26.Write 7.1 × 10⁻² as a decimal. =
  27. 27.What is the value of 9⁵? =
  28. 28.What is the value of 4⁶? =
  29. 29.Write (8⁴)⁵ as a single power 8ⁿ. What is n?
  30. 30.What is the value of 10⁵ × 10⁻²? =
  31. 31.Write 2¹³ ÷ 2⁷ as a single power 2ⁿ. What is n?
  32. 32.What is the value of 9⁻¹ (as a fraction)? =
  33. 33.What is the value of 4⁸? =
  34. 34.What is the value of (3/5)⁻²? =
  35. 35.What is the value of 2⁶ × 2⁻³? =
  36. 36.8.4 × 10² =
  37. 37.What is the value of (1/2)⁻¹? =
  38. 38.What is the value of 5⁴? =
  39. 39.What is the value of 5¹ × 5⁻²? =
  40. 40.Write 7² × 7⁷ as a single power 7ⁿ. What is n?

Answer key

  1. 4
  2. 1
  3. 1/36
  4. 370
  5. 1/81
  6. 7/5
  7. 0.00018
  8. 1
  9. 11
  10. 100
  11. 27
  12. 512
  13. 256
  14. 27
  15. 4
  16. 5
  17. 1000
  18. 93000
  19. 1/9
  20. 1/64
  21. 8
  22. 9
  23. 216
  24. 70000
  25. 1/256
  26. 0.071
  27. 59049
  28. 4096
  29. 20
  30. 1000
  31. 6
  32. 1/9
  33. 65536
  34. 25/9
  35. 8
  36. 840
  37. 2
  38. 625
  39. 1/5
  40. 9

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