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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 305 · 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 (5/8)⁻²? =
  2. 2.Write 20,000 in standard form as 2 × 10ⁿ. What is n?
  3. 3.What is the value of (5/8)⁻¹? =
  4. 4.What is the value of 6⁻¹ (as a fraction)? =
  5. 5.What is the value of 3⁴ × 3⁻²? =
  6. 6.What is the value of 9⁻³ (as a fraction)? =
  7. 7.What is the value of 2⁵ × 2⁻⁴? =
  8. 8.What is the value of 3⁶ × 3⁻¹? =
  9. 9.What is the value of 2⁻² (as a fraction)? =
  10. 10.What is the value of (5/7)⁻²? =
  11. 11.What is the value of 2⁸? =
  12. 12.Write 7 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of 7⁴? =
  14. 14.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  15. 15.Write (3²)⁴ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 3⁴ × 3⁻⁵? =
  17. 17.Write 6,00,000 in standard form as 6 × 10ⁿ. What is n?
  18. 18.What is the value of 7²? =
  19. 19.Write 3.9 × 10⁻² as a decimal. =
  20. 20.Write 94,000 in standard form as 9.4 × 10ⁿ. What is n?
  21. 21.Write 5.6 × 10⁻² as a decimal. =
  22. 22.What is the value of 3⁶ × 3⁻⁵? =
  23. 23.Write (8⁹)³ as a single power 8ⁿ. What is n?
  24. 24.What is the value of 3³? =
  25. 25.What is the value of 10⁴? =
  26. 26.2.9 × 10⁶ =
  27. 27.Write (4⁶)⁴ as a single power 4ⁿ. What is n?
  28. 28.Write 9¹³ ÷ 9⁶ as a single power 9ⁿ. What is n?
  29. 29.What is the value of 9³? =
  30. 30.Write 1.5 × 10⁻¹ as a decimal. =
  31. 31.What is the value of 5⁷? =
  32. 32.What is the value of 2⁶? =
  33. 33.What is the value of (4/5)⁻¹? =
  34. 34.What is the value of 8⁴? =
  35. 35.What is the value of 3⁴ × 3⁻⁴? =
  36. 36.Write 3.5 × 10⁻² as a decimal. =
  37. 37.Write 5.3 × 10⁻³ as a decimal. =
  38. 38.Write 9⁵ × 9⁷ as a single power 9ⁿ. What is n?
  39. 39.What is the value of 2⁵? =
  40. 40.What is the value of 10⁴ × 10⁻⁴? =

Answer key

  1. 64/25
  2. 4
  3. 8/5
  4. 1/6
  5. 9
  6. 1/729
  7. 2
  8. 243
  9. 1/4
  10. 49/25
  11. 256
  12. 0.0007
  13. 2401
  14. 24
  15. 8
  16. 1/3
  17. 5
  18. 49
  19. 0.039
  20. 4
  21. 0.056
  22. 3
  23. 27
  24. 27
  25. 10000
  26. 2900000
  27. 24
  28. 7
  29. 729
  30. 0.15
  31. 78125
  32. 64
  33. 5/4
  34. 4096
  35. 1
  36. 0.035
  37. 0.0053
  38. 12
  39. 32
  40. 1

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