← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 289 · 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 (1/6)⁻¹? =
  2. 2.What is the value of 5⁴ × 5⁻⁶? =
  3. 3.Write 6³ × 6³ as a single power 6ⁿ. What is n?
  4. 4.Write 4.6 × 10⁻⁴ as a decimal. =
  5. 5.Write 7.7 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 2⁵ × 2⁻⁴? =
  7. 7.Write 1.6 × 10⁻⁴ as a decimal. =
  8. 8.9.9 × 10³ =
  9. 9.6.6 × 10⁵ =
  10. 10.What is the value of 2³? =
  11. 11.What is the value of 10⁵? =
  12. 12.What is the value of 3³ × 3⁻⁵? =
  13. 13.Write 2² × 2⁶ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 3² × 3⁻⁴? =
  15. 15.What is the value of 5⁻¹ (as a fraction)? =
  16. 16.What is the value of 4⁸? =
  17. 17.What is the value of 10² × 10⁻⁵? =
  18. 18.Write 2¹² ÷ 2⁹ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 5⁻⁴ (as a fraction)? =
  20. 20.What is the value of 6²? =
  21. 21.What is the value of 4⁷? =
  22. 22.Write 6¹³ ÷ 6⁴ as a single power 6ⁿ. What is n?
  23. 23.Write 180 in standard form as 1.8 × 10ⁿ. What is n?
  24. 24.What is the value of 2² × 2⁻⁴? =
  25. 25.Write (9⁵)³ as a single power 9ⁿ. What is n?
  26. 26.Write 1.6 × 10⁻¹ as a decimal. =
  27. 27.Write 82,00,000 in standard form as 8.2 × 10ⁿ. What is n?
  28. 28.What is the value of (1/8)⁻²? =
  29. 29.Write (3⁸)⁵ as a single power 3ⁿ. What is n?
  30. 30.Write (4⁹)³ as a single power 4ⁿ. What is n?
  31. 31.What is the value of 10³ × 10⁻⁵? =
  32. 32.Write 1.5 × 10⁻³ as a decimal. =
  33. 33.What is the value of 3⁴ × 3⁻¹? =
  34. 34.Write 4.9 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 2¹⁶? =
  36. 36.What is the value of 6⁻¹ (as a fraction)? =
  37. 37.6.6 × 10⁶ =
  38. 38.Write 3,10,000 in standard form as 3.1 × 10ⁿ. What is n?
  39. 39.What is the value of 10² × 10⁻¹? =
  40. 40.Write 4.5 × 10⁻⁴ as a decimal. =

Answer key

  1. 6
  2. 1/25
  3. 6
  4. 0.00046
  5. 0.00077
  6. 2
  7. 0.00016
  8. 9900
  9. 660000
  10. 8
  11. 100000
  12. 1/9
  13. 8
  14. 1/9
  15. 1/5
  16. 65536
  17. 1/1000
  18. 3
  19. 1/625
  20. 36
  21. 16384
  22. 9
  23. 2
  24. 1/4
  25. 15
  26. 0.16
  27. 6
  28. 64
  29. 40
  30. 27
  31. 1/100
  32. 0.0015
  33. 27
  34. 0.49
  35. 65536
  36. 1/6
  37. 6600000
  38. 5
  39. 10
  40. 0.00045

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