← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 793 · 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 3¹ × 3⁻⁶? =
  2. 2.What is the value of 5¹ × 5⁻¹? =
  3. 3.Write 810 in standard form as 8.1 × 10ⁿ. What is n?
  4. 4.What is the value of 10⁴? =
  5. 5.What is the value of 5⁷? =
  6. 6.What is the value of 5⁻⁴ (as a fraction)? =
  7. 7.What is the value of 5⁻² (as a fraction)? =
  8. 8.What is the value of (2/7)⁻²? =
  9. 9.What is the value of 2⁴ × 2⁻⁵? =
  10. 10.What is the value of 3⁶ × 3⁻⁶? =
  11. 11.Write 2,900 in standard form as 2.9 × 10ⁿ. What is n?
  12. 12.What is the value of 2⁻¹ (as a fraction)? =
  13. 13.Write 3.3 × 10⁻² as a decimal. =
  14. 14.Write 1.1 × 10⁻² as a decimal. =
  15. 15.What is the value of 2² × 2⁻⁴? =
  16. 16.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  17. 17.What is the value of 3¹ × 3⁻²? =
  18. 18.What is the value of 5⁴ × 5⁻¹? =
  19. 19.Write 8.1 × 10⁻² as a decimal. =
  20. 20.Write 9¹⁵ ÷ 9⁹ as a single power 9ⁿ. What is n?
  21. 21.What is the value of 2¹⁵? =
  22. 22.What is the value of 5⁵ × 5⁻⁴? =
  23. 23.What is the value of 2⁴ × 2⁻²? =
  24. 24.What is the value of (6/7)⁻¹? =
  25. 25.Write 4⁴ × 4⁴ as a single power 4ⁿ. What is n?
  26. 26.What is the value of 2² × 2⁻⁶? =
  27. 27.What is the value of 7²? =
  28. 28.What is the value of 10² × 10⁻²? =
  29. 29.Write 7⁸ ÷ 7³ as a single power 7ⁿ. What is n?
  30. 30.4 × 10⁴ =
  31. 31.Write 7.8 × 10⁻⁴ as a decimal. =
  32. 32.Write (4⁸)² as a single power 4ⁿ. What is n?
  33. 33.2.6 × 10⁵ =
  34. 34.What is the value of 10²? =
  35. 35.Write 9⁶ × 9⁸ as a single power 9ⁿ. What is n?
  36. 36.What is the value of (1/8)⁻¹? =
  37. 37.What is the value of 2⁶ × 2⁻¹? =
  38. 38.Write 7,900 in standard form as 7.9 × 10ⁿ. What is n?
  39. 39.Write (5⁴)⁷ as a single power 5ⁿ. What is n?
  40. 40.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?

Answer key

  1. 1/243
  2. 1
  3. 2
  4. 10000
  5. 78125
  6. 1/625
  7. 1/25
  8. 49/4
  9. 1/2
  10. 1
  11. 3
  12. 1/2
  13. 0.033
  14. 0.011
  15. 1/4
  16. 6
  17. 1/3
  18. 125
  19. 0.081
  20. 6
  21. 32768
  22. 5
  23. 4
  24. 7/6
  25. 8
  26. 1/16
  27. 49
  28. 1
  29. 5
  30. 40000
  31. 0.00078
  32. 16
  33. 260000
  34. 100
  35. 14
  36. 8
  37. 32
  38. 3
  39. 28
  40. 7

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