← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 771 · 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 7⁻³ (as a fraction)? =
  2. 2.What is the value of 10⁻³ (as a fraction)? =
  3. 3.1.7 × 10³ =
  4. 4.What is the value of 10⁴? =
  5. 5.What is the value of 3⁻⁴ (as a fraction)? =
  6. 6.Write (8³)² as a single power 8ⁿ. What is n?
  7. 7.What is the value of 4⁷? =
  8. 8.Write 8.9 × 10⁻⁴ as a decimal. =
  9. 9.Write 7,50,000 in standard form as 7.5 × 10ⁿ. What is n?
  10. 10.Write 3¹¹ ÷ 3⁶ as a single power 3ⁿ. What is n?
  11. 11.What is the value of (1/4)⁻²? =
  12. 12.Write 3¹¹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  13. 13.Write 8.8 × 10⁻² as a decimal. =
  14. 14.What is the value of 2⁹? =
  15. 15.Write 7⁹ × 7³ as a single power 7ⁿ. What is n?
  16. 16.3.3 × 10³ =
  17. 17.What is the value of 3⁴? =
  18. 18.Write 7⁶ × 7⁵ as a single power 7ⁿ. What is n?
  19. 19.Write 300 in standard form as 3 × 10ⁿ. What is n?
  20. 20.Write 6⁷ × 6⁹ as a single power 6ⁿ. What is n?
  21. 21.Write (8⁴)⁶ as a single power 8ⁿ. What is n?
  22. 22.What is the value of 2⁻¹ (as a fraction)? =
  23. 23.Write 4,10,000 in standard form as 4.1 × 10ⁿ. What is n?
  24. 24.Write 4⁹ × 4⁷ as a single power 4ⁿ. What is n?
  25. 25.6.6 × 10⁵ =
  26. 26.What is the value of 10⁴ × 10⁻⁶? =
  27. 27.What is the value of (2/5)⁻²? =
  28. 28.Write 9,600 in standard form as 9.6 × 10ⁿ. What is n?
  29. 29.What is the value of 5⁻⁴ (as a fraction)? =
  30. 30.What is the value of 4⁶? =
  31. 31.What is the value of 2¹ × 2⁻⁴? =
  32. 32.Write 9.1 × 10⁻² as a decimal. =
  33. 33.Write 19,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  34. 34.What is the value of (7/9)⁻¹? =
  35. 35.Write 82,00,000 in standard form as 8.2 × 10ⁿ. What is n?
  36. 36.Write 1.7 × 10⁻³ as a decimal. =
  37. 37.5.2 × 10⁵ =
  38. 38.What is the value of (1/3)⁻¹? =
  39. 39.What is the value of 5² × 5⁻³? =
  40. 40.9.6 × 10⁷ =

Answer key

  1. 1/343
  2. 1/1000
  3. 1700
  4. 10000
  5. 1/81
  6. 6
  7. 16384
  8. 0.00089
  9. 5
  10. 5
  11. 16
  12. 4
  13. 0.088
  14. 512
  15. 12
  16. 3300
  17. 81
  18. 11
  19. 2
  20. 16
  21. 24
  22. 1/2
  23. 5
  24. 16
  25. 660000
  26. 1/100
  27. 25/4
  28. 3
  29. 1/625
  30. 4096
  31. 1/8
  32. 0.091
  33. 6
  34. 9/7
  35. 6
  36. 0.0017
  37. 520000
  38. 3
  39. 1/5
  40. 96000000

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