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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 661 · 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 (9⁷)² as a single power 9ⁿ. What is n?
  2. 2.Write 950 in standard form as 9.5 × 10ⁿ. What is n?
  3. 3.What is the value of 3⁸? =
  4. 4.Write (3⁷)⁷ as a single power 3ⁿ. What is n?
  5. 5.What is the value of 3⁵ × 3⁻¹? =
  6. 6.Write 6⁶ ÷ 6² as a single power 6ⁿ. What is n?
  7. 7.What is the value of 9⁵? =
  8. 8.What is the value of 3⁴ × 3⁻⁴? =
  9. 9.Write 2.8 × 10⁻² as a decimal. =
  10. 10.8.7 × 10³ =
  11. 11.Write 5.4 × 10⁻³ as a decimal. =
  12. 12.Write 9.3 × 10⁻¹ as a decimal. =
  13. 13.4.9 × 10⁴ =
  14. 14.Write 6⁴ × 6⁶ as a single power 6ⁿ. What is n?
  15. 15.What is the value of 10²? =
  16. 16.What is the value of 10⁵ × 10⁻⁴? =
  17. 17.Write 4,60,000 in standard form as 4.6 × 10ⁿ. What is n?
  18. 18.Write 9.7 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 3⁶? =
  20. 20.What is the value of 8⁻³ (as a fraction)? =
  21. 21.What is the value of 9⁻¹ (as a fraction)? =
  22. 22.2.1 × 10⁵ =
  23. 23.What is the value of 2⁹? =
  24. 24.What is the value of 5² × 5⁻²? =
  25. 25.Write (9⁵)⁴ as a single power 9ⁿ. What is n?
  26. 26.5.9 × 10⁵ =
  27. 27.What is the value of 2³ × 2⁻¹? =
  28. 28.What is the value of (1/2)⁻²? =
  29. 29.Write (6⁶)⁴ as a single power 6ⁿ. What is n?
  30. 30.Write 8⁷ ÷ 8⁴ as a single power 8ⁿ. What is n?
  31. 31.Write (6²)⁵ as a single power 6ⁿ. What is n?
  32. 32.Write 1,80,000 in standard form as 1.8 × 10ⁿ. What is n?
  33. 33.What is the value of (3/4)⁻¹? =
  34. 34.What is the value of 2⁴? =
  35. 35.What is the value of 8³? =
  36. 36.Write 7.8 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of (5/8)⁻²? =
  38. 38.Write (9²)⁷ as a single power 9ⁿ. What is n?
  39. 39.What is the value of 3¹⁰? =
  40. 40.What is the value of 10⁴ × 10⁻²? =

Answer key

  1. 14
  2. 2
  3. 6561
  4. 49
  5. 81
  6. 4
  7. 59049
  8. 1
  9. 0.028
  10. 8700
  11. 0.0054
  12. 0.93
  13. 49000
  14. 10
  15. 100
  16. 10
  17. 5
  18. 0.97
  19. 729
  20. 1/512
  21. 1/9
  22. 210000
  23. 512
  24. 1
  25. 20
  26. 590000
  27. 4
  28. 4
  29. 24
  30. 3
  31. 10
  32. 5
  33. 4/3
  34. 16
  35. 512
  36. 0.00078
  37. 64/25
  38. 14
  39. 59049
  40. 100

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