← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 935 · 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 3² × 3⁻²? =
  2. 2.What is the value of 2⁻² (as a fraction)? =
  3. 3.6 × 10⁷ =
  4. 4.Write 3⁵ × 3⁴ as a single power 3ⁿ. What is n?
  5. 5.What is the value of 2¹⁶? =
  6. 6.Write 4⁸ × 4⁵ as a single power 4ⁿ. What is n?
  7. 7.3.5 × 10⁴ =
  8. 8.What is the value of 2³ × 2⁻⁶? =
  9. 9.What is the value of 5⁴? =
  10. 10.Write 2 × 10⁻² as a decimal. =
  11. 11.What is the value of 8⁻¹ (as a fraction)? =
  12. 12.Write 3⁷ ÷ 3⁵ as a single power 3ⁿ. What is n?
  13. 13.Write 4⁸ × 4² as a single power 4ⁿ. What is n?
  14. 14.Write 5⁹ ÷ 5⁶ as a single power 5ⁿ. What is n?
  15. 15.What is the value of 2⁶ × 2⁻²? =
  16. 16.Write 4⁶ × 4⁶ as a single power 4ⁿ. What is n?
  17. 17.What is the value of 3⁵ × 3⁻⁵? =
  18. 18.Write 2⁷ ÷ 2⁴ as a single power 2ⁿ. What is n?
  19. 19.Write 8⁵ × 8⁹ as a single power 8ⁿ. What is n?
  20. 20.Write 3¹³ ÷ 3⁹ as a single power 3ⁿ. What is n?
  21. 21.What is the value of 8³? =
  22. 22.Write 7.9 × 10⁻³ as a decimal. =
  23. 23.What is the value of 5⁶? =
  24. 24.Write 3.6 × 10⁻² as a decimal. =
  25. 25.Write 6.8 × 10⁻³ as a decimal. =
  26. 26.Write 7.2 × 10⁻² as a decimal. =
  27. 27.9.2 × 10⁷ =
  28. 28.What is the value of 2⁴ × 2⁻³? =
  29. 29.Write 4,30,000 in standard form as 4.3 × 10ⁿ. What is n?
  30. 30.What is the value of (1/2)⁻²? =
  31. 31.What is the value of 5¹ × 5⁻⁴? =
  32. 32.Write 9.8 × 10⁻² as a decimal. =
  33. 33.Write 170 in standard form as 1.7 × 10ⁿ. What is n?
  34. 34.Write 5¹⁵ ÷ 5⁸ as a single power 5ⁿ. What is n?
  35. 35.What is the value of 10¹ × 10⁻¹? =
  36. 36.What is the value of 3⁻¹ (as a fraction)? =
  37. 37.Write 3⁶ ÷ 3³ as a single power 3ⁿ. What is n?
  38. 38.Write (3⁵)⁶ as a single power 3ⁿ. What is n?
  39. 39.1.1 × 10⁷ =
  40. 40.What is the value of 10¹ × 10⁻⁶? =

Answer key

  1. 1
  2. 1/4
  3. 60000000
  4. 9
  5. 65536
  6. 13
  7. 35000
  8. 1/8
  9. 625
  10. 0.02
  11. 1/8
  12. 2
  13. 10
  14. 3
  15. 16
  16. 12
  17. 1
  18. 3
  19. 14
  20. 4
  21. 512
  22. 0.0079
  23. 15625
  24. 0.036
  25. 0.0068
  26. 0.072
  27. 92000000
  28. 2
  29. 5
  30. 4
  31. 1/125
  32. 0.098
  33. 2
  34. 7
  35. 1
  36. 1/3
  37. 3
  38. 30
  39. 11000000
  40. 1/100000

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