← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 752 · 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. 1.1.2 × 10² =
  2. 2.What is the value of 6⁵? =
  3. 3.What is the value of 2³ × 2⁻²? =
  4. 4.What is the value of 3² × 3⁻⁶? =
  5. 5.Write 2.4 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 2³? =
  7. 7.What is the value of 2¹²? =
  8. 8.Write 6.3 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of 8⁻³ (as a fraction)? =
  10. 10.What is the value of 2⁵? =
  11. 11.Write 8¹¹ ÷ 8³ as a single power 8ⁿ. What is n?
  12. 12.What is the value of 5² × 5⁻³? =
  13. 13.Write 5.9 × 10⁻¹ as a decimal. =
  14. 14.Write 84,000 in standard form as 8.4 × 10ⁿ. What is n?
  15. 15.Write 7.3 × 10⁻² as a decimal. =
  16. 16.What is the value of 5⁷? =
  17. 17.Write (7²)⁵ as a single power 7ⁿ. What is n?
  18. 18.Write 6⁴ × 6⁴ as a single power 6ⁿ. What is n?
  19. 19.Write (2³)⁸ as a single power 2ⁿ. What is n?
  20. 20.Write (8⁷)⁸ as a single power 8ⁿ. What is n?
  21. 21.Write 6.7 × 10⁻³ as a decimal. =
  22. 22.What is the value of 4⁻⁴ (as a fraction)? =
  23. 23.What is the value of 3³ × 3⁻³? =
  24. 24.Write 8,90,00,000 in standard form as 8.9 × 10ⁿ. What is n?
  25. 25.What is the value of 3² × 3⁻²? =
  26. 26.What is the value of 3¹ × 3⁻¹? =
  27. 27.Write 4² × 4³ as a single power 4ⁿ. What is n?
  28. 28.Write 9.2 × 10⁻² as a decimal. =
  29. 29.2.2 × 10² =
  30. 30.9.3 × 10⁴ =
  31. 31.Write 3⁶ × 3³ as a single power 3ⁿ. What is n?
  32. 32.Write 2² × 2⁵ as a single power 2ⁿ. What is n?
  33. 33.What is the value of 8²? =
  34. 34.Write 5,60,00,000 in standard form as 5.6 × 10ⁿ. What is n?
  35. 35.Write 2⁵ × 2⁵ as a single power 2ⁿ. What is n?
  36. 36.What is the value of 2⁵ × 2⁻³? =
  37. 37.What is the value of 7⁻³ (as a fraction)? =
  38. 38.Write 4³ × 4⁷ as a single power 4ⁿ. What is n?
  39. 39.Write 3⁵ × 3⁴ as a single power 3ⁿ. What is n?
  40. 40.Write 2¹³ ÷ 2⁸ as a single power 2ⁿ. What is n?

Answer key

  1. 120
  2. 7776
  3. 2
  4. 1/81
  5. 0.00024
  6. 8
  7. 4096
  8. 0.00063
  9. 1/512
  10. 32
  11. 8
  12. 1/5
  13. 0.59
  14. 4
  15. 0.073
  16. 78125
  17. 10
  18. 8
  19. 24
  20. 56
  21. 0.0067
  22. 1/256
  23. 1
  24. 7
  25. 1
  26. 1
  27. 5
  28. 0.092
  29. 220
  30. 93000
  31. 9
  32. 7
  33. 64
  34. 7
  35. 10
  36. 4
  37. 1/343
  38. 10
  39. 9
  40. 5

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