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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 436 · 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 3.1 × 10⁻⁴ as a decimal. =
  2. 2.2.8 × 10³ =
  3. 3.Write (4⁶)² as a single power 4ⁿ. What is n?
  4. 4.Write 3¹⁶ ÷ 3⁹ as a single power 3ⁿ. What is n?
  5. 5.What is the value of 10⁵ × 10⁻²? =
  6. 6.What is the value of 9⁻² (as a fraction)? =
  7. 7.What is the value of 2³ × 2⁻¹? =
  8. 8.What is the value of 8³? =
  9. 9.Write (4⁷)⁷ as a single power 4ⁿ. What is n?
  10. 10.Write (5⁷)² as a single power 5ⁿ. What is n?
  11. 11.4.5 × 10⁷ =
  12. 12.What is the value of 2⁻² (as a fraction)? =
  13. 13.What is the value of 5⁴? =
  14. 14.Write 3.3 × 10⁻² as a decimal. =
  15. 15.2.9 × 10⁶ =
  16. 16.What is the value of 5² × 5⁻¹? =
  17. 17.Write 4.8 × 10⁻⁴ as a decimal. =
  18. 18.Write 4.3 × 10⁻² as a decimal. =
  19. 19.What is the value of 3¹ × 3⁻²? =
  20. 20.What is the value of (3/7)⁻¹? =
  21. 21.What is the value of 3⁹? =
  22. 22.Write 6,10,000 in standard form as 6.1 × 10ⁿ. What is n?
  23. 23.Write 3⁷ ÷ 3³ as a single power 3ⁿ. What is n?
  24. 24.What is the value of 2³? =
  25. 25.Write 4,10,000 in standard form as 4.1 × 10ⁿ. What is n?
  26. 26.What is the value of 2⁻⁶ (as a fraction)? =
  27. 27.What is the value of (1/3)⁻¹? =
  28. 28.8.8 × 10³ =
  29. 29.What is the value of 8²? =
  30. 30.Write 7⁵ ÷ 7³ as a single power 7ⁿ. What is n?
  31. 31.6 × 10⁵ =
  32. 32.Write 5.2 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 9²? =
  34. 34.What is the value of 3⁶? =
  35. 35.What is the value of 2⁻⁵ (as a fraction)? =
  36. 36.Write 7.8 × 10⁻¹ as a decimal. =
  37. 37.What is the value of (1/8)⁻¹? =
  38. 38.Write 940 in standard form as 9.4 × 10ⁿ. What is n?
  39. 39.What is the value of 5⁷? =
  40. 40.What is the value of 8⁻¹ (as a fraction)? =

Answer key

  1. 0.00031
  2. 2800
  3. 12
  4. 7
  5. 1000
  6. 1/81
  7. 4
  8. 512
  9. 49
  10. 14
  11. 45000000
  12. 1/4
  13. 625
  14. 0.033
  15. 2900000
  16. 5
  17. 0.00048
  18. 0.043
  19. 1/3
  20. 7/3
  21. 19683
  22. 5
  23. 4
  24. 8
  25. 5
  26. 1/64
  27. 3
  28. 8800
  29. 64
  30. 2
  31. 600000
  32. 0.52
  33. 81
  34. 729
  35. 1/32
  36. 0.78
  37. 8
  38. 2
  39. 78125
  40. 1/8

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