← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 662 · 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 2⁶ × 2⁵ as a single power 2ⁿ. What is n?
  2. 2.Write 7⁸ ÷ 7⁶ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 2⁷? =
  4. 4.What is the value of 7²? =
  5. 5.Write 4⁷ × 4⁶ as a single power 4ⁿ. What is n?
  6. 6.What is the value of 5³ × 5⁻⁶? =
  7. 7.What is the value of 4⁷? =
  8. 8.What is the value of 3⁻¹ (as a fraction)? =
  9. 9.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  10. 10.What is the value of 4⁶? =
  11. 11.Write 7.8 × 10⁻³ as a decimal. =
  12. 12.Write 5⁷ ÷ 5² as a single power 5ⁿ. What is n?
  13. 13.What is the value of 3⁵? =
  14. 14.Write 8.8 × 10⁻³ as a decimal. =
  15. 15.Write (2⁸)⁷ as a single power 2ⁿ. What is n?
  16. 16.6.2 × 10² =
  17. 17.Write 5⁵ × 5⁴ as a single power 5ⁿ. What is n?
  18. 18.Write 72,000 in standard form as 7.2 × 10ⁿ. What is n?
  19. 19.What is the value of 3⁶ × 3⁻³? =
  20. 20.Write 3¹⁰ ÷ 3⁴ as a single power 3ⁿ. What is n?
  21. 21.Write 2.5 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 2⁹? =
  23. 23.What is the value of 2² × 2⁻²? =
  24. 24.Write 4.8 × 10⁻² as a decimal. =
  25. 25.What is the value of 5⁴? =
  26. 26.7.5 × 10⁴ =
  27. 27.What is the value of 5⁴ × 5⁻⁵? =
  28. 28.Write 77,00,000 in standard form as 7.7 × 10ⁿ. What is n?
  29. 29.What is the value of 6⁻¹ (as a fraction)? =
  30. 30.Write 1,30,000 in standard form as 1.3 × 10ⁿ. What is n?
  31. 31.Write 16,000 in standard form as 1.6 × 10ⁿ. What is n?
  32. 32.What is the value of 2³ × 2⁻²? =
  33. 33.What is the value of 7⁵? =
  34. 34.What is the value of 3⁵ × 3⁻⁵? =
  35. 35.3.8 × 10⁵ =
  36. 36.What is the value of 3⁻³ (as a fraction)? =
  37. 37.What is the value of 4⁻¹ (as a fraction)? =
  38. 38.What is the value of 5⁵? =
  39. 39.What is the value of 4⁸? =
  40. 40.What is the value of 8³? =

Answer key

  1. 11
  2. 2
  3. 128
  4. 49
  5. 13
  6. 1/125
  7. 16384
  8. 1/3
  9. 3
  10. 4096
  11. 0.0078
  12. 5
  13. 243
  14. 0.0088
  15. 56
  16. 620
  17. 9
  18. 4
  19. 27
  20. 6
  21. 0.25
  22. 512
  23. 1
  24. 0.048
  25. 625
  26. 75000
  27. 1/5
  28. 6
  29. 1/6
  30. 5
  31. 4
  32. 2
  33. 16807
  34. 1
  35. 380000
  36. 1/27
  37. 1/4
  38. 3125
  39. 65536
  40. 512

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