← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 954 · 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 3,300 in standard form as 3.3 × 10ⁿ. What is n?
  2. 2.What is the value of (8/9)⁻¹? =
  3. 3.Write 8.6 × 10⁻³ as a decimal. =
  4. 4.Write 7⁹ × 7⁸ as a single power 7ⁿ. What is n?
  5. 5.Write 3⁶ × 3⁴ as a single power 3ⁿ. What is n?
  6. 6.What is the value of 9²? =
  7. 7.What is the value of 10⁴ × 10⁻⁶? =
  8. 8.What is the value of 10⁴ × 10⁻⁵? =
  9. 9.What is the value of 5¹ × 5⁻³? =
  10. 10.What is the value of (3/4)⁻²? =
  11. 11.What is the value of (1/5)⁻²? =
  12. 12.3.4 × 10² =
  13. 13.6.8 × 10⁴ =
  14. 14.Write 5⁶ ÷ 5⁴ as a single power 5ⁿ. What is n?
  15. 15.Write 7⁵ × 7² as a single power 7ⁿ. What is n?
  16. 16.Write 3.6 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 3²? =
  18. 18.What is the value of 9⁻³ (as a fraction)? =
  19. 19.Write 7⁸ × 7⁵ as a single power 7ⁿ. What is n?
  20. 20.2.6 × 10² =
  21. 21.What is the value of 5⁻³ (as a fraction)? =
  22. 22.What is the value of 3³? =
  23. 23.Write 3.8 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of 3⁶? =
  25. 25.Write (6⁹)³ as a single power 6ⁿ. What is n?
  26. 26.Write 7.7 × 10⁻³ as a decimal. =
  27. 27.What is the value of (4/5)⁻¹? =
  28. 28.Write 6.6 × 10⁻² as a decimal. =
  29. 29.Write 2 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 5² × 5⁻²? =
  31. 31.What is the value of 10⁻² (as a fraction)? =
  32. 32.What is the value of 8³? =
  33. 33.Write (8⁵)³ as a single power 8ⁿ. What is n?
  34. 34.Write 9 × 10⁻⁴ as a decimal. =
  35. 35.Write (5⁷)⁴ as a single power 5ⁿ. What is n?
  36. 36.What is the value of 4⁶? =
  37. 37.Write 6² × 6³ as a single power 6ⁿ. What is n?
  38. 38.Write 5.2 × 10⁻³ as a decimal. =
  39. 39.Write 1.4 × 10⁻² as a decimal. =
  40. 40.What is the value of 3⁴? =

Answer key

  1. 3
  2. 9/8
  3. 0.0086
  4. 17
  5. 10
  6. 81
  7. 1/100
  8. 1/10
  9. 1/25
  10. 16/9
  11. 25
  12. 340
  13. 68000
  14. 2
  15. 7
  16. 0.36
  17. 9
  18. 1/729
  19. 13
  20. 260
  21. 1/125
  22. 27
  23. 0.00038
  24. 729
  25. 27
  26. 0.0077
  27. 5/4
  28. 0.066
  29. 0.2
  30. 1
  31. 1/100
  32. 512
  33. 15
  34. 0.0009
  35. 28
  36. 4096
  37. 5
  38. 0.0052
  39. 0.014
  40. 81

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