← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 532 · 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 3¹ × 3⁻⁴? =
  2. 2.Write 4 × 10⁻³ as a decimal. =
  3. 3.What is the value of 2⁷? =
  4. 4.What is the value of 3⁻¹ (as a fraction)? =
  5. 5.Write 6⁷ ÷ 6² as a single power 6ⁿ. What is n?
  6. 6.Write 5¹⁵ ÷ 5⁸ as a single power 5ⁿ. What is n?
  7. 7.What is the value of 5⁴ × 5⁻¹? =
  8. 8.Write 9⁷ × 9⁸ as a single power 9ⁿ. What is n?
  9. 9.Write 7¹⁴ ÷ 7⁹ as a single power 7ⁿ. What is n?
  10. 10.What is the value of 2²? =
  11. 11.What is the value of 2⁹? =
  12. 12.What is the value of 2¹³? =
  13. 13.Write 6.9 × 10⁻¹ as a decimal. =
  14. 14.Write 4⁶ ÷ 4³ as a single power 4ⁿ. What is n?
  15. 15.What is the value of 6⁻¹ (as a fraction)? =
  16. 16.What is the value of (4/5)⁻¹? =
  17. 17.Write 2¹² ÷ 2⁸ as a single power 2ⁿ. What is n?
  18. 18.Write 1.4 × 10⁻² as a decimal. =
  19. 19.What is the value of 2⁻⁹ (as a fraction)? =
  20. 20.Write 680 in standard form as 6.8 × 10ⁿ. What is n?
  21. 21.What is the value of (1/7)⁻²? =
  22. 22.Write 5 × 10⁻⁴ as a decimal. =
  23. 23.Write 2,30,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  24. 24.What is the value of 8⁻³ (as a fraction)? =
  25. 25.Write 8.2 × 10⁻⁴ as a decimal. =
  26. 26.Write 4.3 × 10⁻¹ as a decimal. =
  27. 27.7.2 × 10² =
  28. 28.Write 5 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 9⁻² (as a fraction)? =
  30. 30.Write 9.9 × 10⁻² as a decimal. =
  31. 31.Write (9⁴)⁷ as a single power 9ⁿ. What is n?
  32. 32.Write 4.7 × 10⁻² as a decimal. =
  33. 33.What is the value of 2⁶? =
  34. 34.Write 9¹⁸ ÷ 9⁹ as a single power 9ⁿ. What is n?
  35. 35.What is the value of 3⁶ × 3⁻¹? =
  36. 36.What is the value of 10⁵? =
  37. 37.Write 4.5 × 10⁻⁴ as a decimal. =
  38. 38.Write 2.6 × 10⁻³ as a decimal. =
  39. 39.What is the value of 2¹²? =
  40. 40.Write 2.9 × 10⁻⁴ as a decimal. =

Answer key

  1. 1/27
  2. 0.004
  3. 128
  4. 1/3
  5. 5
  6. 7
  7. 125
  8. 15
  9. 5
  10. 4
  11. 512
  12. 8192
  13. 0.69
  14. 3
  15. 1/6
  16. 5/4
  17. 4
  18. 0.014
  19. 1/512
  20. 2
  21. 49
  22. 0.0005
  23. 7
  24. 1/512
  25. 0.00082
  26. 0.43
  27. 720
  28. 0.5
  29. 1/81
  30. 0.099
  31. 28
  32. 0.047
  33. 64
  34. 9
  35. 243
  36. 100000
  37. 0.00045
  38. 0.0026
  39. 4096
  40. 0.00029

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