← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 557 · 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 2¹⁵? =
  2. 2.Write 3.3 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 3⁻¹ (as a fraction)? =
  4. 4.Write 2³ × 2⁶ as a single power 2ⁿ. What is n?
  5. 5.Write 9.7 × 10⁻³ as a decimal. =
  6. 6.Write (4⁴)⁵ as a single power 4ⁿ. What is n?
  7. 7.Write 48,000 in standard form as 4.8 × 10ⁿ. What is n?
  8. 8.What is the value of 5⁶? =
  9. 9.Write 5¹⁸ ÷ 5⁹ as a single power 5ⁿ. What is n?
  10. 10.Write (3²)⁵ as a single power 3ⁿ. What is n?
  11. 11.Write 7¹² ÷ 7⁹ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 10¹ × 10⁻³? =
  13. 13.What is the value of 9⁻² (as a fraction)? =
  14. 14.Write (5⁹)⁷ as a single power 5ⁿ. What is n?
  15. 15.Write 1.2 × 10⁻⁴ as a decimal. =
  16. 16.What is the value of 9³? =
  17. 17.Write 5¹⁶ ÷ 5⁷ as a single power 5ⁿ. What is n?
  18. 18.3.2 × 10⁴ =
  19. 19.What is the value of 8²? =
  20. 20.4 × 10⁴ =
  21. 21.1.2 × 10² =
  22. 22.What is the value of 10⁴ × 10⁻²? =
  23. 23.Write 6.3 × 10⁻² as a decimal. =
  24. 24.What is the value of 2⁻⁹ (as a fraction)? =
  25. 25.What is the value of 2⁴ × 2⁻⁵? =
  26. 26.What is the value of 2⁻⁸ (as a fraction)? =
  27. 27.Write 4.7 × 10⁻¹ as a decimal. =
  28. 28.Write 7⁹ × 7⁹ as a single power 7ⁿ. What is n?
  29. 29.Write 6⁶ ÷ 6² as a single power 6ⁿ. What is n?
  30. 30.Write 2² × 2² as a single power 2ⁿ. What is n?
  31. 31.What is the value of 5³? =
  32. 32.Write 8⁷ ÷ 8² as a single power 8ⁿ. What is n?
  33. 33.What is the value of 2⁸? =
  34. 34.What is the value of 4⁶? =
  35. 35.Write 5⁸ ÷ 5⁵ as a single power 5ⁿ. What is n?
  36. 36.6.4 × 10⁶ =
  37. 37.What is the value of 3⁴ × 3⁻⁶? =
  38. 38.What is the value of 2⁶ × 2⁻⁵? =
  39. 39.What is the value of 10⁻³ (as a fraction)? =
  40. 40.What is the value of 2⁻² (as a fraction)? =

Answer key

  1. 32768
  2. 0.33
  3. 1/3
  4. 9
  5. 0.0097
  6. 20
  7. 4
  8. 15625
  9. 9
  10. 10
  11. 3
  12. 1/100
  13. 1/81
  14. 63
  15. 0.00012
  16. 729
  17. 9
  18. 32000
  19. 64
  20. 40000
  21. 120
  22. 100
  23. 0.063
  24. 1/512
  25. 1/2
  26. 1/256
  27. 0.47
  28. 18
  29. 4
  30. 4
  31. 125
  32. 5
  33. 256
  34. 4096
  35. 3
  36. 6400000
  37. 1/9
  38. 2
  39. 1/1000
  40. 1/4

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