← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 822 · 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 6.6 × 10⁻³ as a decimal. =
  2. 2.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  3. 3.Write (3²)⁸ as a single power 3ⁿ. What is n?
  4. 4.Write 25,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  5. 5.7 × 10² =
  6. 6.Write 88,000 in standard form as 8.8 × 10ⁿ. What is n?
  7. 7.What is the value of 4⁸? =
  8. 8.4.3 × 10⁴ =
  9. 9.Write 2,40,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  10. 10.Write 7¹¹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  11. 11.Write 5,10,00,000 in standard form as 5.1 × 10ⁿ. What is n?
  12. 12.What is the value of 2¹ × 2⁻³? =
  13. 13.What is the value of 7⁻³ (as a fraction)? =
  14. 14.Write 6.2 × 10⁻³ as a decimal. =
  15. 15.Write 8² × 8² as a single power 8ⁿ. What is n?
  16. 16.What is the value of 3⁵? =
  17. 17.What is the value of 10³ × 10⁻⁶? =
  18. 18.Write 9 × 10⁻¹ as a decimal. =
  19. 19.5 × 10² =
  20. 20.What is the value of 5² × 5⁻¹? =
  21. 21.What is the value of 2²? =
  22. 22.What is the value of 4⁴? =
  23. 23.What is the value of 4⁷? =
  24. 24.What is the value of 3⁻¹ (as a fraction)? =
  25. 25.What is the value of 3²? =
  26. 26.Write 4² × 4³ as a single power 4ⁿ. What is n?
  27. 27.Write 3⁴ × 3⁷ as a single power 3ⁿ. What is n?
  28. 28.6.2 × 10⁴ =
  29. 29.Write 8.6 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of (1/6)⁻¹? =
  31. 31.What is the value of 3¹⁰? =
  32. 32.Write 8² × 8⁴ as a single power 8ⁿ. What is n?
  33. 33.Write (5⁹)⁷ as a single power 5ⁿ. What is n?
  34. 34.8.8 × 10² =
  35. 35.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  36. 36.What is the value of 9⁻¹ (as a fraction)? =
  37. 37.Write 86,00,000 in standard form as 8.6 × 10ⁿ. What is n?
  38. 38.What is the value of 5⁻¹ (as a fraction)? =
  39. 39.What is the value of 3⁹? =
  40. 40.What is the value of 4³? =

Answer key

  1. 0.0066
  2. 9
  3. 16
  4. 6
  5. 700
  6. 4
  7. 65536
  8. 43000
  9. 7
  10. 5
  11. 7
  12. 1/4
  13. 1/343
  14. 0.0062
  15. 4
  16. 243
  17. 1/1000
  18. 0.9
  19. 500
  20. 5
  21. 4
  22. 256
  23. 16384
  24. 1/3
  25. 9
  26. 5
  27. 11
  28. 62000
  29. 0.00086
  30. 6
  31. 59049
  32. 6
  33. 63
  34. 880
  35. 24
  36. 1/9
  37. 6
  38. 1/5
  39. 19683
  40. 64

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