← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 362 · 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. 2.What is the value of 3¹ × 3⁻⁵? =
  3. 3.Write 8⁵ × 8⁹ as a single power 8ⁿ. What is n?
  4. 4.Write (5⁴)³ as a single power 5ⁿ. What is n?
  5. 5.Write (4⁸)³ as a single power 4ⁿ. What is n?
  6. 6.What is the value of 5⁻¹ (as a fraction)? =
  7. 7.What is the value of (1/5)⁻²? =
  8. 8.Write 2⁶ × 2² as a single power 2ⁿ. What is n?
  9. 9.What is the value of 2⁻⁸ (as a fraction)? =
  10. 10.Write 7.6 × 10⁻⁴ as a decimal. =
  11. 11.Write 7.1 × 10⁻² as a decimal. =
  12. 12.Write 2 × 10⁻² as a decimal. =
  13. 13.Write (2²)⁸ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 2⁵ × 2⁻³? =
  15. 15.Write 1.5 × 10⁻⁴ as a decimal. =
  16. 16.Write 8.8 × 10⁻³ as a decimal. =
  17. 17.4.6 × 10³ =
  18. 18.Write 2.3 × 10⁻¹ as a decimal. =
  19. 19.Write 6,50,000 in standard form as 6.5 × 10ⁿ. What is n?
  20. 20.What is the value of 2⁶ × 2⁻²? =
  21. 21.Write 7,20,000 in standard form as 7.2 × 10ⁿ. What is n?
  22. 22.Write 3 × 10⁻² as a decimal. =
  23. 23.Write (3⁴)² as a single power 3ⁿ. What is n?
  24. 24.What is the value of 6⁻³ (as a fraction)? =
  25. 25.Write 3⁸ ÷ 3⁵ as a single power 3ⁿ. What is n?
  26. 26.What is the value of 2¹ × 2⁻⁶? =
  27. 27.What is the value of 5⁵ × 5⁻⁵? =
  28. 28.What is the value of 3⁻² (as a fraction)? =
  29. 29.Write 4² × 4⁹ as a single power 4ⁿ. What is n?
  30. 30.Write 2⁸ × 2⁹ as a single power 2ⁿ. What is n?
  31. 31.Write 4 × 10⁻⁴ as a decimal. =
  32. 32.Write 9⁷ × 9⁶ as a single power 9ⁿ. What is n?
  33. 33.What is the value of (1/6)⁻²? =
  34. 34.Write 8.6 × 10⁻² as a decimal. =
  35. 35.3.9 × 10⁷ =
  36. 36.What is the value of (6/7)⁻¹? =
  37. 37.Write 8³ × 8⁶ as a single power 8ⁿ. What is n?
  38. 38.Write 4.9 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 10⁴ × 10⁻⁵? =
  40. 40.Write 6⁸ × 6⁹ as a single power 6ⁿ. What is n?

Answer key

  1. 8
  2. 1/81
  3. 14
  4. 12
  5. 24
  6. 1/5
  7. 25
  8. 8
  9. 1/256
  10. 0.00076
  11. 0.071
  12. 0.02
  13. 16
  14. 4
  15. 0.00015
  16. 0.0088
  17. 4600
  18. 0.23
  19. 5
  20. 16
  21. 5
  22. 0.03
  23. 8
  24. 1/216
  25. 3
  26. 1/32
  27. 1
  28. 1/9
  29. 11
  30. 17
  31. 0.0004
  32. 13
  33. 36
  34. 0.086
  35. 39000000
  36. 7/6
  37. 9
  38. 0.49
  39. 1/10
  40. 17

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