← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 371 · 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 2⁸ ÷ 2⁵ as a single power 2ⁿ. What is n?
  2. 2.Write 7.1 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 10⁶ × 10⁻⁶? =
  4. 4.What is the value of 10¹ × 10⁻⁵? =
  5. 5.What is the value of 4³? =
  6. 6.What is the value of 7²? =
  7. 7.What is the value of (2/7)⁻²? =
  8. 8.What is the value of 2¹ × 2⁻⁶? =
  9. 9.Write (4⁵)⁵ as a single power 4ⁿ. What is n?
  10. 10.What is the value of 3² × 3⁻⁴? =
  11. 11.What is the value of (1/4)⁻¹? =
  12. 12.2.6 × 10⁵ =
  13. 13.What is the value of 10⁴ × 10⁻²? =
  14. 14.Write 2.4 × 10⁻⁴ as a decimal. =
  15. 15.Write 9⁸ × 9⁶ as a single power 9ⁿ. What is n?
  16. 16.Write 3² × 3⁶ as a single power 3ⁿ. What is n?
  17. 17.What is the value of 3¹⁰? =
  18. 18.What is the value of 10³? =
  19. 19.What is the value of 10⁴? =
  20. 20.What is the value of 5⁶ × 5⁻²? =
  21. 21.Write 1.6 × 10⁻³ as a decimal. =
  22. 22.What is the value of 10¹ × 10⁻⁶? =
  23. 23.4 × 10⁴ =
  24. 24.What is the value of 7⁻³ (as a fraction)? =
  25. 25.What is the value of 9⁵? =
  26. 26.Write (3⁹)⁵ as a single power 3ⁿ. What is n?
  27. 27.What is the value of 4²? =
  28. 28.What is the value of 2⁵? =
  29. 29.Write 8.4 × 10⁻⁴ as a decimal. =
  30. 30.Write 75,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  31. 31.What is the value of (5/9)⁻²? =
  32. 32.What is the value of 5² × 5⁻⁶? =
  33. 33.What is the value of (1/8)⁻²? =
  34. 34.What is the value of 3² × 3⁻¹? =
  35. 35.What is the value of 6⁶? =
  36. 36.What is the value of 10⁶ × 10⁻⁴? =
  37. 37.Write 5.4 × 10⁻³ as a decimal. =
  38. 38.What is the value of (2/7)⁻¹? =
  39. 39.Write 9.4 × 10⁻⁴ as a decimal. =
  40. 40.Write 9.4 × 10⁻³ as a decimal. =

Answer key

  1. 3
  2. 0.00071
  3. 1
  4. 1/10000
  5. 64
  6. 49
  7. 49/4
  8. 1/32
  9. 25
  10. 1/9
  11. 4
  12. 260000
  13. 100
  14. 0.00024
  15. 14
  16. 8
  17. 59049
  18. 1000
  19. 10000
  20. 625
  21. 0.0016
  22. 1/100000
  23. 40000
  24. 1/343
  25. 59049
  26. 45
  27. 16
  28. 32
  29. 0.00084
  30. 6
  31. 81/25
  32. 1/625
  33. 64
  34. 3
  35. 46656
  36. 100
  37. 0.0054
  38. 7/2
  39. 0.00094
  40. 0.0094

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