← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 506 · 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 2⁶ × 2⁻¹? =
  2. 2.What is the value of 10⁴? =
  3. 3.Write 8,60,000 in standard form as 8.6 × 10ⁿ. What is n?
  4. 4.What is the value of 2³? =
  5. 5.What is the value of 3⁵? =
  6. 6.Write 6.4 × 10⁻¹ as a decimal. =
  7. 7.Write 8³ × 8⁴ as a single power 8ⁿ. What is n?
  8. 8.Write 4.4 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of 2⁻² (as a fraction)? =
  10. 10.What is the value of (6/7)⁻¹? =
  11. 11.Write (4⁴)³ as a single power 4ⁿ. What is n?
  12. 12.9.9 × 10³ =
  13. 13.What is the value of 10¹ × 10⁻²? =
  14. 14.What is the value of 3⁻⁶ (as a fraction)? =
  15. 15.Write 1,20,00,000 in standard form as 1.2 × 10ⁿ. What is n?
  16. 16.What is the value of (4/5)⁻²? =
  17. 17.What is the value of 2¹ × 2⁻²? =
  18. 18.What is the value of 2⁴ × 2⁻¹? =
  19. 19.What is the value of 2⁻⁵ (as a fraction)? =
  20. 20.Write (7²)⁶ as a single power 7ⁿ. What is n?
  21. 21.Write 4 × 10⁻¹ as a decimal. =
  22. 22.What is the value of (2/7)⁻¹? =
  23. 23.9.1 × 10³ =
  24. 24.What is the value of 5¹ × 5⁻³? =
  25. 25.What is the value of 3⁶ × 3⁻⁵? =
  26. 26.What is the value of 5⁻³ (as a fraction)? =
  27. 27.Write 4.3 × 10⁻¹ as a decimal. =
  28. 28.What is the value of (1/7)⁻¹? =
  29. 29.What is the value of 5² × 5⁻³? =
  30. 30.What is the value of 3¹⁰? =
  31. 31.What is the value of 10¹ × 10⁻³? =
  32. 32.What is the value of 8⁻² (as a fraction)? =
  33. 33.1.9 × 10⁴ =
  34. 34.What is the value of 2⁵? =
  35. 35.What is the value of 3⁴ × 3⁻³? =
  36. 36.Write 5³ × 5² as a single power 5ⁿ. What is n?
  37. 37.What is the value of 2⁶? =
  38. 38.What is the value of 7⁴? =
  39. 39.Write (7²)⁸ as a single power 7ⁿ. What is n?
  40. 40.Write 6.3 × 10⁻² as a decimal. =

Answer key

  1. 32
  2. 10000
  3. 5
  4. 8
  5. 243
  6. 0.64
  7. 7
  8. 0.00044
  9. 1/4
  10. 7/6
  11. 12
  12. 9900
  13. 1/10
  14. 1/729
  15. 7
  16. 25/16
  17. 1/2
  18. 8
  19. 1/32
  20. 12
  21. 0.4
  22. 7/2
  23. 9100
  24. 1/25
  25. 3
  26. 1/125
  27. 0.43
  28. 7
  29. 1/5
  30. 59049
  31. 1/100
  32. 1/64
  33. 19000
  34. 32
  35. 3
  36. 5
  37. 64
  38. 2401
  39. 16
  40. 0.063

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