← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 862 · 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 6.2 × 10⁻³ as a decimal. =
  2. 2.What is the value of (1/8)⁻¹? =
  3. 3.Write (6³)⁷ as a single power 6ⁿ. What is n?
  4. 4.What is the value of 3²? =
  5. 5.3.3 × 10⁷ =
  6. 6.2.1 × 10⁴ =
  7. 7.Write 8.5 × 10⁻³ as a decimal. =
  8. 8.What is the value of (3/8)⁻²? =
  9. 9.Write 850 in standard form as 8.5 × 10ⁿ. What is n?
  10. 10.Write 3⁹ × 3⁹ as a single power 3ⁿ. What is n?
  11. 11.What is the value of (7/8)⁻²? =
  12. 12.Write 7⁵ × 7⁹ as a single power 7ⁿ. What is n?
  13. 13.What is the value of 2¹ × 2⁻¹? =
  14. 14.What is the value of 2¹⁰? =
  15. 15.6.1 × 10³ =
  16. 16.Write 2.8 × 10⁻⁴ as a decimal. =
  17. 17.Write 9.2 × 10⁻¹ as a decimal. =
  18. 18.Write 8.1 × 10⁻² as a decimal. =
  19. 19.What is the value of 4⁵? =
  20. 20.What is the value of 3⁹? =
  21. 21.What is the value of 2⁵? =
  22. 22.What is the value of 2³ × 2⁻⁴? =
  23. 23.Write 2³ × 2⁹ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 10⁵? =
  25. 25.Write (3⁴)⁴ as a single power 3ⁿ. What is n?
  26. 26.What is the value of 10⁻² (as a fraction)? =
  27. 27.Write (6⁷)² as a single power 6ⁿ. What is n?
  28. 28.Write 3,80,000 in standard form as 3.8 × 10ⁿ. What is n?
  29. 29.Write 6.3 × 10⁻⁴ as a decimal. =
  30. 30.Write 5¹³ ÷ 5⁸ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 2⁴ × 2⁻¹? =
  32. 32.Write 6⁸ × 6³ as a single power 6ⁿ. What is n?
  33. 33.Write 9⁶ × 9³ as a single power 9ⁿ. What is n?
  34. 34.Write 62,000 in standard form as 6.2 × 10ⁿ. What is n?
  35. 35.Write 39,00,000 in standard form as 3.9 × 10ⁿ. What is n?
  36. 36.Write 2.2 × 10⁻³ as a decimal. =
  37. 37.Write 3.6 × 10⁻³ as a decimal. =
  38. 38.Write 35,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  39. 39.What is the value of 8⁻¹ (as a fraction)? =
  40. 40.What is the value of 2² × 2⁻⁵? =

Answer key

  1. 0.0062
  2. 8
  3. 21
  4. 9
  5. 33000000
  6. 21000
  7. 0.0085
  8. 64/9
  9. 2
  10. 18
  11. 64/49
  12. 14
  13. 1
  14. 1024
  15. 6100
  16. 0.00028
  17. 0.92
  18. 0.081
  19. 1024
  20. 19683
  21. 32
  22. 1/2
  23. 12
  24. 100000
  25. 16
  26. 1/100
  27. 14
  28. 5
  29. 0.00063
  30. 5
  31. 8
  32. 11
  33. 9
  34. 4
  35. 6
  36. 0.0022
  37. 0.0036
  38. 6
  39. 1/8
  40. 1/8

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