← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 100 · 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 3⁴? =
  2. 2.Write 2⁹ ÷ 2⁶ as a single power 2ⁿ. What is n?
  3. 3.What is the value of 6⁻³ (as a fraction)? =
  4. 4.Write 7.4 × 10⁻⁴ as a decimal. =
  5. 5.Write 4⁸ × 4⁵ as a single power 4ⁿ. What is n?
  6. 6.What is the value of 6⁻¹ (as a fraction)? =
  7. 7.What is the value of 2² × 2⁻³? =
  8. 8.What is the value of 2¹ × 2⁻¹? =
  9. 9.What is the value of 10² × 10⁻³? =
  10. 10.Write 1,70,000 in standard form as 1.7 × 10ⁿ. What is n?
  11. 11.Write 420 in standard form as 4.2 × 10ⁿ. What is n?
  12. 12.What is the value of (1/3)⁻¹? =
  13. 13.Write 7⁷ ÷ 7⁵ as a single power 7ⁿ. What is n?
  14. 14.What is the value of 10²? =
  15. 15.What is the value of 9⁻¹ (as a fraction)? =
  16. 16.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?
  17. 17.What is the value of 3⁴ × 3⁻³? =
  18. 18.7.7 × 10² =
  19. 19.What is the value of 7⁵? =
  20. 20.Write 15,000 in standard form as 1.5 × 10ⁿ. What is n?
  21. 21.Write 6³ × 6⁴ as a single power 6ⁿ. What is n?
  22. 22.Write 9¹¹ ÷ 9⁹ as a single power 9ⁿ. What is n?
  23. 23.2.6 × 10² =
  24. 24.Write 5,00,000 in standard form as 5 × 10ⁿ. What is n?
  25. 25.What is the value of 3³ × 3⁻⁶? =
  26. 26.Write 7.1 × 10⁻² as a decimal. =
  27. 27.Write 1.1 × 10⁻¹ as a decimal. =
  28. 28.5.1 × 10⁶ =
  29. 29.What is the value of 2⁻⁶ (as a fraction)? =
  30. 30.Write 5.2 × 10⁻⁴ as a decimal. =
  31. 31.Write 4¹⁸ ÷ 4⁹ as a single power 4ⁿ. What is n?
  32. 32.What is the value of 4⁸? =
  33. 33.Write (6⁹)⁴ as a single power 6ⁿ. What is n?
  34. 34.What is the value of 5³ × 5⁻⁴? =
  35. 35.Write 860 in standard form as 8.6 × 10ⁿ. What is n?
  36. 36.What is the value of 9²? =
  37. 37.What is the value of 3⁹? =
  38. 38.What is the value of 3² × 3⁻²? =
  39. 39.Write 3¹⁷ ÷ 3⁸ as a single power 3ⁿ. What is n?
  40. 40.Write 8⁷ ÷ 8³ as a single power 8ⁿ. What is n?

Answer key

  1. 81
  2. 3
  3. 1/216
  4. 0.00074
  5. 13
  6. 1/6
  7. 1/2
  8. 1
  9. 1/10
  10. 5
  11. 2
  12. 3
  13. 2
  14. 100
  15. 1/9
  16. 3
  17. 3
  18. 770
  19. 16807
  20. 4
  21. 7
  22. 2
  23. 260
  24. 5
  25. 1/27
  26. 0.071
  27. 0.11
  28. 5100000
  29. 1/64
  30. 0.00052
  31. 9
  32. 65536
  33. 36
  34. 1/5
  35. 2
  36. 81
  37. 19683
  38. 1
  39. 9
  40. 4

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