← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 566 · 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.Write 8.1 × 10⁻³ as a decimal. =
  2. 2.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  3. 3.Write 9⁹ ÷ 9⁵ as a single power 9ⁿ. What is n?
  4. 4.What is the value of 2¹²? =
  5. 5.What is the value of 10³ × 10⁻⁵? =
  6. 6.Write 6.9 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of 3⁴ × 3⁻⁴? =
  8. 8.5.4 × 10⁷ =
  9. 9.What is the value of 4⁻² (as a fraction)? =
  10. 10.What is the value of 8²? =
  11. 11.What is the value of 4⁴? =
  12. 12.What is the value of 7⁵? =
  13. 13.Write (8⁶)⁵ as a single power 8ⁿ. What is n?
  14. 14.What is the value of 3⁻⁶ (as a fraction)? =
  15. 15.What is the value of 10³ × 10⁻¹? =
  16. 16.Write 2,100 in standard form as 2.1 × 10ⁿ. What is n?
  17. 17.Write 9⁵ × 9⁵ as a single power 9ⁿ. What is n?
  18. 18.What is the value of (1/6)⁻¹? =
  19. 19.Write 80,00,000 in standard form as 8 × 10ⁿ. What is n?
  20. 20.5.1 × 10⁵ =
  21. 21.Write 9.8 × 10⁻² as a decimal. =
  22. 22.What is the value of 2¹⁴? =
  23. 23.What is the value of 3⁵? =
  24. 24.What is the value of 3⁵ × 3⁻⁵? =
  25. 25.What is the value of 3¹ × 3⁻⁶? =
  26. 26.Write 7 × 10⁻³ as a decimal. =
  27. 27.Write 9.5 × 10⁻² as a decimal. =
  28. 28.What is the value of (1/3)⁻¹? =
  29. 29.What is the value of 4⁻¹ (as a fraction)? =
  30. 30.Write 7.7 × 10⁻³ as a decimal. =
  31. 31.Write 9⁷ × 9⁴ as a single power 9ⁿ. What is n?
  32. 32.Write 9¹² ÷ 9⁴ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 6⁶? =
  34. 34.Write 7.6 × 10⁻⁴ as a decimal. =
  35. 35.5.3 × 10⁴ =
  36. 36.What is the value of 5³? =
  37. 37.What is the value of (1/2)⁻¹? =
  38. 38.Write 510 in standard form as 5.1 × 10ⁿ. What is n?
  39. 39.What is the value of 4⁻³ (as a fraction)? =
  40. 40.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?

Answer key

  1. 0.0081
  2. 7
  3. 4
  4. 4096
  5. 1/100
  6. 0.00069
  7. 1
  8. 54000000
  9. 1/16
  10. 64
  11. 256
  12. 16807
  13. 30
  14. 1/729
  15. 100
  16. 3
  17. 10
  18. 6
  19. 6
  20. 510000
  21. 0.098
  22. 16384
  23. 243
  24. 1
  25. 1/243
  26. 0.007
  27. 0.095
  28. 3
  29. 1/4
  30. 0.0077
  31. 11
  32. 8
  33. 46656
  34. 0.00076
  35. 53000
  36. 125
  37. 2
  38. 2
  39. 1/64
  40. 3

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