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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 291 · 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 4⁸ ÷ 4² as a single power 4ⁿ. What is n?
  2. 2.What is the value of 5⁶ × 5⁻¹? =
  3. 3.What is the value of 7⁻² (as a fraction)? =
  4. 4.Write 5.9 × 10⁻³ as a decimal. =
  5. 5.Write 5.8 × 10⁻² as a decimal. =
  6. 6.What is the value of 2⁻¹ (as a fraction)? =
  7. 7.8.1 × 10⁴ =
  8. 8.What is the value of 2⁻³ (as a fraction)? =
  9. 9.What is the value of 10⁴ × 10⁻¹? =
  10. 10.What is the value of 3⁻⁴ (as a fraction)? =
  11. 11.Write 910 in standard form as 9.1 × 10ⁿ. What is n?
  12. 12.Write 4⁴ × 4⁹ as a single power 4ⁿ. What is n?
  13. 13.Write 55,000 in standard form as 5.5 × 10ⁿ. What is n?
  14. 14.Write 3⁹ × 3⁸ as a single power 3ⁿ. What is n?
  15. 15.Write (2⁹)⁸ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 3³ × 3⁻²? =
  17. 17.1.9 × 10⁶ =
  18. 18.Write (7⁶)⁶ as a single power 7ⁿ. What is n?
  19. 19.Write 2 × 10⁻⁴ as a decimal. =
  20. 20.Write 3⁶ ÷ 3³ as a single power 3ⁿ. What is n?
  21. 21.What is the value of 3⁶ × 3⁻⁵? =
  22. 22.What is the value of (8/9)⁻¹? =
  23. 23.What is the value of 10³? =
  24. 24.8 × 10⁶ =
  25. 25.Write (2⁶)² as a single power 2ⁿ. What is n?
  26. 26.8 × 10⁵ =
  27. 27.Write 9⁵ × 9⁴ as a single power 9ⁿ. What is n?
  28. 28.Write 6,500 in standard form as 6.5 × 10ⁿ. What is n?
  29. 29.Write 8.6 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 2²? =
  31. 31.Write 9.5 × 10⁻³ as a decimal. =
  32. 32.Write 9.9 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 5² × 5⁻⁶? =
  34. 34.What is the value of 3² × 3⁻⁵? =
  35. 35.Write (4⁷)⁴ as a single power 4ⁿ. What is n?
  36. 36.Write 57,000 in standard form as 5.7 × 10ⁿ. What is n?
  37. 37.Write (5³)⁴ as a single power 5ⁿ. What is n?
  38. 38.5 × 10⁴ =
  39. 39.Write 8 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 5⁷? =

Answer key

  1. 6
  2. 3125
  3. 1/49
  4. 0.0059
  5. 0.058
  6. 1/2
  7. 81000
  8. 1/8
  9. 1000
  10. 1/81
  11. 2
  12. 13
  13. 4
  14. 17
  15. 72
  16. 3
  17. 1900000
  18. 36
  19. 0.0002
  20. 3
  21. 3
  22. 9/8
  23. 1000
  24. 8000000
  25. 12
  26. 800000
  27. 9
  28. 3
  29. 0.86
  30. 4
  31. 0.0095
  32. 0.99
  33. 1/625
  34. 1/27
  35. 28
  36. 4
  37. 12
  38. 50000
  39. 0.8
  40. 78125

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