← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 157 · 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 2¹ × 2⁻⁴? =
  2. 2.Write 2.7 × 10⁻² as a decimal. =
  3. 3.3.8 × 10⁵ =
  4. 4.What is the value of 8⁻³ (as a fraction)? =
  5. 5.Write 3⁹ × 3⁹ as a single power 3ⁿ. What is n?
  6. 6.What is the value of 2¹⁰? =
  7. 7.Write 8.7 × 10⁻³ as a decimal. =
  8. 8.What is the value of 2¹³? =
  9. 9.Write 5,00,00,000 in standard form as 5 × 10ⁿ. What is n?
  10. 10.Write 8.6 × 10⁻³ as a decimal. =
  11. 11.What is the value of 10⁴ × 10⁻¹? =
  12. 12.Write (5²)⁹ as a single power 5ⁿ. What is n?
  13. 13.Write 4¹³ ÷ 4⁷ as a single power 4ⁿ. What is n?
  14. 14.What is the value of 2⁴ × 2⁻³? =
  15. 15.9.8 × 10² =
  16. 16.What is the value of 10⁻² (as a fraction)? =
  17. 17.What is the value of 5⁻² (as a fraction)? =
  18. 18.Write 7.4 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of (3/5)⁻¹? =
  20. 20.Write 6⁴ × 6⁷ as a single power 6ⁿ. What is n?
  21. 21.Write 4.1 × 10⁻³ as a decimal. =
  22. 22.What is the value of 2¹⁵? =
  23. 23.Write 1,30,00,000 in standard form as 1.3 × 10ⁿ. What is n?
  24. 24.What is the value of 4⁻³ (as a fraction)? =
  25. 25.What is the value of 6⁴? =
  26. 26.Write 2.5 × 10⁻² as a decimal. =
  27. 27.Write 6.9 × 10⁻² as a decimal. =
  28. 28.Write 73,000 in standard form as 7.3 × 10ⁿ. What is n?
  29. 29.What is the value of 6⁶? =
  30. 30.What is the value of 2¹⁶? =
  31. 31.What is the value of 6⁻² (as a fraction)? =
  32. 32.What is the value of 3⁶ × 3⁻⁴? =
  33. 33.Write 6.9 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 8⁻¹ (as a fraction)? =
  35. 35.7.1 × 10⁷ =
  36. 36.What is the value of 2³ × 2⁻¹? =
  37. 37.What is the value of 2⁷? =
  38. 38.Write 4⁷ × 4⁸ as a single power 4ⁿ. What is n?
  39. 39.What is the value of 10⁴ × 10⁻⁵? =
  40. 40.What is the value of (1/3)⁻²? =

Answer key

  1. 1/8
  2. 0.027
  3. 380000
  4. 1/512
  5. 18
  6. 1024
  7. 0.0087
  8. 8192
  9. 7
  10. 0.0086
  11. 1000
  12. 18
  13. 6
  14. 2
  15. 980
  16. 1/100
  17. 1/25
  18. 0.00074
  19. 5/3
  20. 11
  21. 0.0041
  22. 32768
  23. 7
  24. 1/64
  25. 1296
  26. 0.025
  27. 0.069
  28. 4
  29. 46656
  30. 65536
  31. 1/36
  32. 9
  33. 0.69
  34. 1/8
  35. 71000000
  36. 4
  37. 128
  38. 15
  39. 1/10
  40. 9

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