## anonymous one year ago Algebra 2 help? I'll loose my life if I do't get this done http://prntscr.com/81bhcy

1. anonymous

2. jim_thompson5910

|dw:1438817092059:dw|

3. anonymous

I don't mean to be a fanboy, but holy shiz, I can't believe I'm meeting Jim like this

4. jim_thompson5910

The bases are the same (both x), so we subtract the exponents |dw:1438817143395:dw|

5. anonymous

Okay

6. jim_thompson5910

|dw:1438817164689:dw|

7. jim_thompson5910

now simplify (4/3) - (5/6)

8. anonymous

LCD?

9. jim_thompson5910

yes you'll need to find that first, what is the LCD in this case?

10. anonymous

3

11. jim_thompson5910

no

12. jim_thompson5910

what is the lowest common multiple of 3 and 6?

13. anonymous

1?

14. anonymous

idk

15. jim_thompson5910

multiples of 3: 3, 6, 9, 12, ... multiples of 6: 6, 12, 18, ...

16. anonymous

nvm its 6

17. jim_thompson5910

yes

18. jim_thompson5910

the LCD is 6, so you have to transform each fraction to make sure they all have denominators equal to 6

19. anonymous

I'm no good with these, can you give me a walkthrough?

20. jim_thompson5910

|dw:1438817391007:dw|

21. jim_thompson5910

what can we multiply top and bottom by to get 6 in the denominator?

22. anonymous

2?

23. jim_thompson5910

yes |dw:1438817451986:dw|

24. jim_thompson5910

so 4/3 is the same as 8/6

25. anonymous

mk

26. jim_thompson5910

$\Large {\color{red}{\frac{4}{3}}} - \frac{5}{6} = {\color{red}{\frac{8}{6}}} - \frac{5}{6} =??$

27. anonymous

3/6

28. jim_thompson5910

which reduces to what

29. anonymous

1/2

30. jim_thompson5910

so we can say this |dw:1438817675532:dw|

31. anonymous

mk so am I done with that one?

32. jim_thompson5910

yes, now simplify the other expression

33. jim_thompson5910

|dw:1438817769472:dw|

34. jim_thompson5910

|dw:1438817801342:dw|

35. anonymous

All i remember is that you add the exponents, at least those 2 inside

36. jim_thompson5910

yes, so what is $$\Large x*x^3*x^4$$ equal to?

37. anonymous

x^7 or 8

38. jim_thompson5910

recall that $$\Large x = x^1$$

39. anonymous

I'd go with 8

40. jim_thompson5910

$\Large x*x^3*x^4 = x^1*x^3*x^4 = ?$

41. anonymous

x^8

42. jim_thompson5910

yes

43. anonymous

mk, now for tht 16 on the outside

44. jim_thompson5910

|dw:1438817927856:dw|

45. jim_thompson5910

now use this rule $\LARGE \sqrt[n]{x^m} = x^{m/n}$

46. anonymous

so x^8/16

47. jim_thompson5910

then 8/16 reduces to ?

48. anonymous

1/2

49. jim_thompson5910

|dw:1438818127887:dw|

50. anonymous

Okay, so both were x ^1/2 lol

51. jim_thompson5910

correct

52. anonymous

were they equivalent at start or no

53. jim_thompson5910

they are completely equivalent as long as x is not 0 if x = 0, then you have a division by zero error in the first expression

54. anonymous

Okay, so basically equivalent

55. jim_thompson5910

yes

56. anonymous

Thanks man.

57. jim_thompson5910

no problem

58. anonymous

Got time for one more? Be honest, Idm if you don't

59. jim_thompson5910