← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 325 · 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 3⁻² (as a fraction)? =
  2. 2.What is the value of 5¹ × 5⁻⁶? =
  3. 3.Write 3.7 × 10⁻⁴ as a decimal. =
  4. 4.Write (5⁸)⁵ as a single power 5ⁿ. What is n?
  5. 5.What is the value of 5⁶ × 5⁻⁵? =
  6. 6.What is the value of 5²? =
  7. 7.What is the value of 10⁵ × 10⁻¹? =
  8. 8.Write 4.1 × 10⁻¹ as a decimal. =
  9. 9.Write 6.7 × 10⁻¹ as a decimal. =
  10. 10.Write 83,000 in standard form as 8.3 × 10ⁿ. What is n?
  11. 11.What is the value of 3⁴? =
  12. 12.What is the value of 3² × 3⁻⁵? =
  13. 13.What is the value of 6⁶? =
  14. 14.Write (7⁵)³ as a single power 7ⁿ. What is n?
  15. 15.7.2 × 10⁴ =
  16. 16.Write 5¹⁰ ÷ 5⁶ as a single power 5ⁿ. What is n?
  17. 17.Write 75,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  18. 18.Write 1.3 × 10⁻¹ as a decimal. =
  19. 19.Write 5⁹ × 5⁹ as a single power 5ⁿ. What is n?
  20. 20.Write 9⁹ × 9⁹ as a single power 9ⁿ. What is n?
  21. 21.Write 8,40,000 in standard form as 8.4 × 10ⁿ. What is n?
  22. 22.What is the value of 10² × 10⁻⁶? =
  23. 23.9.1 × 10³ =
  24. 24.2.6 × 10² =
  25. 25.What is the value of 2⁴? =
  26. 26.Write (8⁹)⁷ as a single power 8ⁿ. What is n?
  27. 27.What is the value of 2¹ × 2⁻⁴? =
  28. 28.What is the value of 2¹ × 2⁻³? =
  29. 29.Write 9,90,000 in standard form as 9.9 × 10ⁿ. What is n?
  30. 30.Write 6.7 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 10⁵ × 10⁻⁶? =
  32. 32.What is the value of 2⁻³ (as a fraction)? =
  33. 33.Write (2⁴)⁹ as a single power 2ⁿ. What is n?
  34. 34.What is the value of 10¹ × 10⁻¹? =
  35. 35.Write 69,000 in standard form as 6.9 × 10ⁿ. What is n?
  36. 36.Write 9⁵ × 9⁹ as a single power 9ⁿ. What is n?
  37. 37.What is the value of 5³ × 5⁻²? =
  38. 38.Write 4¹¹ ÷ 4⁵ as a single power 4ⁿ. What is n?
  39. 39.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
  40. 40.Write 4⁷ × 4⁷ as a single power 4ⁿ. What is n?

Answer key

  1. 1/9
  2. 1/3125
  3. 0.00037
  4. 40
  5. 5
  6. 25
  7. 10000
  8. 0.41
  9. 0.67
  10. 4
  11. 81
  12. 1/27
  13. 46656
  14. 15
  15. 72000
  16. 4
  17. 6
  18. 0.13
  19. 18
  20. 18
  21. 5
  22. 1/10000
  23. 9100
  24. 260
  25. 16
  26. 63
  27. 1/8
  28. 1/4
  29. 5
  30. 0.00067
  31. 1/10
  32. 1/8
  33. 36
  34. 1
  35. 4
  36. 14
  37. 5
  38. 6
  39. 6
  40. 14

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