← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 5 · 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 2³ × 2⁻¹? =
  2. 2.What is the value of 8³? =
  3. 3.What is the value of 10¹ × 10⁻⁵? =
  4. 4.Write 5⁹ × 5⁶ as a single power 5ⁿ. What is n?
  5. 5.Write 85,00,000 in standard form as 8.5 × 10ⁿ. What is n?
  6. 6.What is the value of 2⁸? =
  7. 7.Write 2⁷ × 2⁹ as a single power 2ⁿ. What is n?
  8. 8.What is the value of 9⁵? =
  9. 9.What is the value of 2¹ × 2⁻²? =
  10. 10.Write 9³ × 9⁸ as a single power 9ⁿ. What is n?
  11. 11.What is the value of 4³? =
  12. 12.What is the value of (4/9)⁻¹? =
  13. 13.Write 8¹¹ ÷ 8⁴ as a single power 8ⁿ. What is n?
  14. 14.What is the value of 10³? =
  15. 15.Write 7.3 × 10⁻¹ as a decimal. =
  16. 16.What is the value of 2¹⁴? =
  17. 17.1.3 × 10⁶ =
  18. 18.What is the value of 2⁻⁷ (as a fraction)? =
  19. 19.Write (2⁶)⁷ as a single power 2ⁿ. What is n?
  20. 20.Write (2²)⁸ as a single power 2ⁿ. What is n?
  21. 21.Write 2⁹ × 2³ as a single power 2ⁿ. What is n?
  22. 22.Write 5.7 × 10⁻⁴ as a decimal. =
  23. 23.Write 6¹² ÷ 6⁶ as a single power 6ⁿ. What is n?
  24. 24.Write 4 × 10⁻⁴ as a decimal. =
  25. 25.3.1 × 10⁷ =
  26. 26.Write 1,80,000 in standard form as 1.8 × 10ⁿ. What is n?
  27. 27.What is the value of 9⁻¹ (as a fraction)? =
  28. 28.6.6 × 10⁴ =
  29. 29.Write 2.4 × 10⁻³ as a decimal. =
  30. 30.Write 51,000 in standard form as 5.1 × 10ⁿ. What is n?
  31. 31.8.4 × 10⁴ =
  32. 32.Write 6⁷ × 6⁵ as a single power 6ⁿ. What is n?
  33. 33.Write 2⁸ × 2⁹ as a single power 2ⁿ. What is n?
  34. 34.What is the value of 4⁵? =
  35. 35.Write 7⁹ × 7³ as a single power 7ⁿ. What is n?
  36. 36.What is the value of (3/8)⁻¹? =
  37. 37.What is the value of 5²? =
  38. 38.Write 9,10,000 in standard form as 9.1 × 10ⁿ. What is n?
  39. 39.Write 6¹¹ ÷ 6⁴ as a single power 6ⁿ. What is n?
  40. 40.Write 4¹⁴ ÷ 4⁷ as a single power 4ⁿ. What is n?

Answer key

  1. 4
  2. 512
  3. 1/10000
  4. 15
  5. 6
  6. 256
  7. 16
  8. 59049
  9. 1/2
  10. 11
  11. 64
  12. 9/4
  13. 7
  14. 1000
  15. 0.73
  16. 16384
  17. 1300000
  18. 1/128
  19. 42
  20. 16
  21. 12
  22. 0.00057
  23. 6
  24. 0.0004
  25. 31000000
  26. 5
  27. 1/9
  28. 66000
  29. 0.0024
  30. 4
  31. 84000
  32. 12
  33. 17
  34. 1024
  35. 12
  36. 8/3
  37. 25
  38. 5
  39. 7
  40. 7

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