← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 773 · 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 10⁶ × 10⁻³? =
  2. 2.What is the value of 7⁻² (as a fraction)? =
  3. 3.What is the value of 5⁵? =
  4. 4.Write 9.9 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 2⁴ × 2⁻³? =
  6. 6.What is the value of 5⁴ × 5⁻⁴? =
  7. 7.What is the value of 5³ × 5⁻¹? =
  8. 8.What is the value of 2⁻⁸ (as a fraction)? =
  9. 9.Write 1.6 × 10⁻³ as a decimal. =
  10. 10.Write 8.5 × 10⁻⁴ as a decimal. =
  11. 11.Write 5¹² ÷ 5⁶ as a single power 5ⁿ. What is n?
  12. 12.Write 840 in standard form as 8.4 × 10ⁿ. What is n?
  13. 13.What is the value of 2¹²? =
  14. 14.What is the value of 7³? =
  15. 15.Write 1.1 × 10⁻¹ as a decimal. =
  16. 16.What is the value of 8⁻¹ (as a fraction)? =
  17. 17.Write 4⁸ ÷ 4² as a single power 4ⁿ. What is n?
  18. 18.Write 2,200 in standard form as 2.2 × 10ⁿ. What is n?
  19. 19.What is the value of 2⁹? =
  20. 20.What is the value of (2/7)⁻²? =
  21. 21.What is the value of 2²? =
  22. 22.What is the value of 4⁻² (as a fraction)? =
  23. 23.Write 5¹³ ÷ 5⁸ as a single power 5ⁿ. What is n?
  24. 24.Write 7.3 × 10⁻¹ as a decimal. =
  25. 25.Write 8.8 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 10²? =
  27. 27.Write 6⁶ × 6⁴ as a single power 6ⁿ. What is n?
  28. 28.What is the value of 10⁵ × 10⁻⁶? =
  29. 29.1.8 × 10³ =
  30. 30.Write (8³)³ as a single power 8ⁿ. What is n?
  31. 31.Write 6.4 × 10⁻⁴ as a decimal. =
  32. 32.Write (8⁹)⁵ as a single power 8ⁿ. What is n?
  33. 33.What is the value of 8²? =
  34. 34.What is the value of 3³? =
  35. 35.What is the value of 3⁻¹ (as a fraction)? =
  36. 36.Write 2.7 × 10⁻¹ as a decimal. =
  37. 37.Write 1.4 × 10⁻¹ as a decimal. =
  38. 38.Write 4⁹ ÷ 4⁷ as a single power 4ⁿ. What is n?
  39. 39.Write (9²)⁴ as a single power 9ⁿ. What is n?
  40. 40.Write 9.5 × 10⁻¹ as a decimal. =

Answer key

  1. 1000
  2. 1/49
  3. 3125
  4. 0.99
  5. 2
  6. 1
  7. 25
  8. 1/256
  9. 0.0016
  10. 0.00085
  11. 6
  12. 2
  13. 4096
  14. 343
  15. 0.11
  16. 1/8
  17. 6
  18. 3
  19. 512
  20. 49/4
  21. 4
  22. 1/16
  23. 5
  24. 0.73
  25. 0.88
  26. 100
  27. 10
  28. 1/10
  29. 1800
  30. 9
  31. 0.00064
  32. 45
  33. 64
  34. 27
  35. 1/3
  36. 0.27
  37. 0.14
  38. 2
  39. 8
  40. 0.95

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets