← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 451 · 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 3⁵ × 3⁻⁴? =
  2. 2.What is the value of 10²? =
  3. 3.Write 3,00,000 in standard form as 3 × 10ⁿ. What is n?
  4. 4.Write 4¹¹ ÷ 4⁹ as a single power 4ⁿ. What is n?
  5. 5.What is the value of 10³ × 10⁻¹? =
  6. 6.Write 8³ × 8³ as a single power 8ⁿ. What is n?
  7. 7.What is the value of 8³? =
  8. 8.Write 7⁸ × 7⁹ as a single power 7ⁿ. What is n?
  9. 9.What is the value of 9³? =
  10. 10.What is the value of 4⁷? =
  11. 11.What is the value of 3⁶? =
  12. 12.Write 5.3 × 10⁻³ as a decimal. =
  13. 13.Write 9¹⁵ ÷ 9⁷ as a single power 9ⁿ. What is n?
  14. 14.What is the value of 2⁵ × 2⁻¹? =
  15. 15.Write (2⁵)⁹ as a single power 2ⁿ. What is n?
  16. 16.8.7 × 10⁵ =
  17. 17.What is the value of 8⁴? =
  18. 18.Write 4⁹ × 4⁹ as a single power 4ⁿ. What is n?
  19. 19.What is the value of 10⁶ × 10⁻²? =
  20. 20.What is the value of 3⁻⁴ (as a fraction)? =
  21. 21.Write 2,100 in standard form as 2.1 × 10ⁿ. What is n?
  22. 22.8 × 10⁵ =
  23. 23.What is the value of 3¹⁰? =
  24. 24.What is the value of (4/7)⁻¹? =
  25. 25.Write (9⁹)⁴ as a single power 9ⁿ. What is n?
  26. 26.Write 5,80,00,000 in standard form as 5.8 × 10ⁿ. What is n?
  27. 27.Write (7⁸)⁶ as a single power 7ⁿ. What is n?
  28. 28.Write 4.8 × 10⁻² as a decimal. =
  29. 29.What is the value of (8/9)⁻²? =
  30. 30.Write 8² × 8⁵ as a single power 8ⁿ. What is n?
  31. 31.What is the value of 2³ × 2⁻⁶? =
  32. 32.Write 8.2 × 10⁻³ as a decimal. =
  33. 33.What is the value of 5²? =
  34. 34.What is the value of 3⁻¹ (as a fraction)? =
  35. 35.What is the value of 5⁶ × 5⁻⁶? =
  36. 36.Write 3⁶ ÷ 3³ as a single power 3ⁿ. What is n?
  37. 37.4.9 × 10³ =
  38. 38.4.4 × 10⁷ =
  39. 39.Write 5¹⁰ ÷ 5⁸ as a single power 5ⁿ. What is n?
  40. 40.Write 8⁸ × 8⁴ as a single power 8ⁿ. What is n?

Answer key

  1. 3
  2. 100
  3. 5
  4. 2
  5. 100
  6. 6
  7. 512
  8. 17
  9. 729
  10. 16384
  11. 729
  12. 0.0053
  13. 8
  14. 16
  15. 45
  16. 870000
  17. 4096
  18. 18
  19. 10000
  20. 1/81
  21. 3
  22. 800000
  23. 59049
  24. 7/4
  25. 36
  26. 7
  27. 48
  28. 0.048
  29. 81/64
  30. 7
  31. 1/8
  32. 0.0082
  33. 25
  34. 1/3
  35. 1
  36. 3
  37. 4900
  38. 44000000
  39. 2
  40. 12

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