← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 200 · 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 2.9 × 10⁻² as a decimal. =
  2. 2.What is the value of 6⁶? =
  3. 3.What is the value of (6/7)⁻¹? =
  4. 4.5.2 × 10⁶ =
  5. 5.Write 4¹² ÷ 4⁸ as a single power 4ⁿ. What is n?
  6. 6.Write 9.6 × 10⁻³ as a decimal. =
  7. 7.Write 7.7 × 10⁻³ as a decimal. =
  8. 8.What is the value of 8³? =
  9. 9.What is the value of 2¹¹? =
  10. 10.What is the value of 10¹ × 10⁻³? =
  11. 11.What is the value of 2⁻⁵ (as a fraction)? =
  12. 12.What is the value of 3² × 3⁻⁵? =
  13. 13.What is the value of 4⁷? =
  14. 14.What is the value of 3⁻¹ (as a fraction)? =
  15. 15.Write 46,00,000 in standard form as 4.6 × 10ⁿ. What is n?
  16. 16.What is the value of (3/4)⁻¹? =
  17. 17.Write 340 in standard form as 3.4 × 10ⁿ. What is n?
  18. 18.Write 3.1 × 10⁻³ as a decimal. =
  19. 19.Write 8.9 × 10⁻³ as a decimal. =
  20. 20.Write 8,00,00,000 in standard form as 8 × 10ⁿ. What is n?
  21. 21.Write 3⁶ × 3⁸ as a single power 3ⁿ. What is n?
  22. 22.Write 3,20,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  23. 23.Write 75,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  24. 24.Write (2⁸)⁴ as a single power 2ⁿ. What is n?
  25. 25.What is the value of 2⁶ × 2⁻⁴? =
  26. 26.What is the value of 7⁻¹ (as a fraction)? =
  27. 27.What is the value of 8⁻¹ (as a fraction)? =
  28. 28.Write 8.1 × 10⁻² as a decimal. =
  29. 29.2.3 × 10² =
  30. 30.Write 2.1 × 10⁻⁴ as a decimal. =
  31. 31.Write 31,00,000 in standard form as 3.1 × 10ⁿ. What is n?
  32. 32.6.5 × 10⁵ =
  33. 33.Write 1.1 × 10⁻⁴ as a decimal. =
  34. 34.Write 4¹¹ ÷ 4³ as a single power 4ⁿ. What is n?
  35. 35.What is the value of (1/5)⁻²? =
  36. 36.Write 6.4 × 10⁻² as a decimal. =
  37. 37.What is the value of 2⁴ × 2⁻³? =
  38. 38.What is the value of 3¹⁰? =
  39. 39.Write 8.7 × 10⁻² as a decimal. =
  40. 40.Write 2.5 × 10⁻¹ as a decimal. =

Answer key

  1. 0.029
  2. 46656
  3. 7/6
  4. 5200000
  5. 4
  6. 0.0096
  7. 0.0077
  8. 512
  9. 2048
  10. 1/100
  11. 1/32
  12. 1/27
  13. 16384
  14. 1/3
  15. 6
  16. 4/3
  17. 2
  18. 0.0031
  19. 0.0089
  20. 7
  21. 14
  22. 7
  23. 6
  24. 32
  25. 4
  26. 1/7
  27. 1/8
  28. 0.081
  29. 230
  30. 0.00021
  31. 6
  32. 650000
  33. 0.00011
  34. 8
  35. 25
  36. 0.064
  37. 2
  38. 59049
  39. 0.087
  40. 0.25

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