← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 656 · 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 (5/8)⁻¹? =
  2. 2.Write (5⁸)⁹ as a single power 5ⁿ. What is n?
  3. 3.Write 3.4 × 10⁻³ as a decimal. =
  4. 4.Write 3⁷ × 3³ as a single power 3ⁿ. What is n?
  5. 5.Write 96,00,000 in standard form as 9.6 × 10ⁿ. What is n?
  6. 6.Write 5⁴ × 5² as a single power 5ⁿ. What is n?
  7. 7.Write 1.7 × 10⁻³ as a decimal. =
  8. 8.Write 7.1 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of 7⁵? =
  10. 10.Write 8⁶ × 8⁶ as a single power 8ⁿ. What is n?
  11. 11.What is the value of 6⁶? =
  12. 12.Write 9,60,00,000 in standard form as 9.6 × 10ⁿ. What is n?
  13. 13.Write 2.3 × 10⁻² as a decimal. =
  14. 14.What is the value of 2² × 2⁻¹? =
  15. 15.What is the value of (1/6)⁻²? =
  16. 16.What is the value of 4⁶? =
  17. 17.3.2 × 10³ =
  18. 18.What is the value of 2⁶ × 2⁻¹? =
  19. 19.What is the value of 2¹⁶? =
  20. 20.What is the value of 4⁵? =
  21. 21.3.9 × 10³ =
  22. 22.What is the value of (1/3)⁻¹? =
  23. 23.Write 4.4 × 10⁻³ as a decimal. =
  24. 24.1.3 × 10² =
  25. 25.Write 2.8 × 10⁻³ as a decimal. =
  26. 26.What is the value of 5⁴ × 5⁻⁶? =
  27. 27.What is the value of 2⁻⁸ (as a fraction)? =
  28. 28.Write 1,60,000 in standard form as 1.6 × 10ⁿ. What is n?
  29. 29.What is the value of 4²? =
  30. 30.Write 6⁴ × 6² as a single power 6ⁿ. What is n?
  31. 31.Write 2⁵ × 2² as a single power 2ⁿ. What is n?
  32. 32.What is the value of (5/7)⁻²? =
  33. 33.Write 930 in standard form as 9.3 × 10ⁿ. What is n?
  34. 34.What is the value of 2⁻⁵ (as a fraction)? =
  35. 35.What is the value of 10⁶ × 10⁻³? =
  36. 36.What is the value of (1/7)⁻¹? =
  37. 37.What is the value of 10⁵ × 10⁻¹? =
  38. 38.Write 7¹² ÷ 7⁷ as a single power 7ⁿ. What is n?
  39. 39.Write (6²)³ as a single power 6ⁿ. What is n?
  40. 40.What is the value of 3⁻⁴ (as a fraction)? =

Answer key

  1. 8/5
  2. 72
  3. 0.0034
  4. 10
  5. 6
  6. 6
  7. 0.0017
  8. 0.00071
  9. 16807
  10. 12
  11. 46656
  12. 7
  13. 0.023
  14. 2
  15. 36
  16. 4096
  17. 3200
  18. 32
  19. 65536
  20. 1024
  21. 3900
  22. 3
  23. 0.0044
  24. 130
  25. 0.0028
  26. 1/25
  27. 1/256
  28. 5
  29. 16
  30. 6
  31. 7
  32. 49/25
  33. 2
  34. 1/32
  35. 1000
  36. 7
  37. 10000
  38. 5
  39. 6
  40. 1/81

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