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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 502 · 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 5¹ × 5⁻⁶? =
  2. 2.What is the value of 9⁻² (as a fraction)? =
  3. 3.Write (3⁴)⁶ as a single power 3ⁿ. What is n?
  4. 4.What is the value of 5⁵? =
  5. 5.Write 7¹⁴ ÷ 7⁸ as a single power 7ⁿ. What is n?
  6. 6.9.1 × 10² =
  7. 7.Write 2,90,000 in standard form as 2.9 × 10ⁿ. What is n?
  8. 8.Write 800 in standard form as 8 × 10ⁿ. What is n?
  9. 9.What is the value of 3⁴ × 3⁻⁴? =
  10. 10.What is the value of 10⁶ × 10⁻¹? =
  11. 11.What is the value of 4⁴? =
  12. 12.What is the value of 2⁶ × 2⁻¹? =
  13. 13.What is the value of 7⁴? =
  14. 14.Write (3⁸)⁴ as a single power 3ⁿ. What is n?
  15. 15.Write 2,50,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  16. 16.What is the value of 5² × 5⁻⁴? =
  17. 17.Write 830 in standard form as 8.3 × 10ⁿ. What is n?
  18. 18.What is the value of 3³ × 3⁻²? =
  19. 19.Write 1.5 × 10⁻⁴ as a decimal. =
  20. 20.What is the value of 10⁻² (as a fraction)? =
  21. 21.Write (5⁹)⁵ as a single power 5ⁿ. What is n?
  22. 22.What is the value of 3⁹? =
  23. 23.Write 6⁶ × 6⁹ as a single power 6ⁿ. What is n?
  24. 24.1.9 × 10⁶ =
  25. 25.What is the value of 2⁵ × 2⁻²? =
  26. 26.What is the value of 8⁴? =
  27. 27.What is the value of 10⁶ × 10⁻²? =
  28. 28.1.8 × 10⁶ =
  29. 29.Write 4⁹ × 4³ as a single power 4ⁿ. What is n?
  30. 30.What is the value of 2² × 2⁻⁴? =
  31. 31.What is the value of 2¹ × 2⁻⁵? =
  32. 32.Write 3 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 2⁵? =
  34. 34.Write 2.4 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 10⁶ × 10⁻³? =
  36. 36.What is the value of (1/3)⁻¹? =
  37. 37.What is the value of 7⁻² (as a fraction)? =
  38. 38.What is the value of 2¹¹? =
  39. 39.What is the value of 3² × 3⁻⁶? =
  40. 40.4.3 × 10⁴ =

Answer key

  1. 1/3125
  2. 1/81
  3. 24
  4. 3125
  5. 6
  6. 910
  7. 5
  8. 2
  9. 1
  10. 100000
  11. 256
  12. 32
  13. 2401
  14. 32
  15. 7
  16. 1/25
  17. 2
  18. 3
  19. 0.00015
  20. 1/100
  21. 45
  22. 19683
  23. 15
  24. 1900000
  25. 8
  26. 4096
  27. 10000
  28. 1800000
  29. 12
  30. 1/4
  31. 1/16
  32. 0.3
  33. 32
  34. 0.24
  35. 1000
  36. 3
  37. 1/49
  38. 2048
  39. 1/81
  40. 43000

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