## anonymous one year ago okay im back with more questions and more medals to give out nnesha is very good at helping ppl so if you have questions and shes on youll do wonderfully and that goes for jim but hes not one yet. okay back to the problem at hand. (-8+i) (-8-i) i got 64i - i bc i foiled btu they want this in standard form what did i do wrong?

1. Nnesha

:P thanks haha :=)

2. Nnesha

show ur work plz :=)

3. anonymous

your welcome! I hope you get many medals :) |dw:1441041648467:dw| |dw:1441041814049:dw|

4. Nnesha

to foil two parentheses box method would be great/neat |dw:1441042176623:dw|i times -i = ??

5. Nnesha

when you multiply same bases you should add their exponents

6. anonymous

okay i remember here is rule a while ago but i cant remember it that well.

7. Nnesha

alright so when we multiply same bases we should add their exponents $\huge\rm x^m \times x^n=x^{m+n}$

8. Nnesha

i is same as i to the one power so $\huge\rm i^1 \times i^1=??$

9. anonymous

the thing i guess that is confusing me is the fact that my problem does not contain exponents. The i thing does sort of make sense.

10. Nnesha

no there is an exponent invisible one

11. Nnesha

i is same as i^1

12. anonymous

okay

13. anonymous

so my negative i should be squared then your suposed to take (-1) (-i) i^2

14. anonymous

to make it with out its exponent

15. Nnesha

multiply i times i which is i^2 and i^2 =what ?

16. anonymous

i?

17. Nnesha

$\large\rm i=\sqrt{-1}~~~~~~~so~~i^2=?$

18. anonymous

so is it just -1? im still confused

19. Nnesha

yes right i^2=-1

20. Nnesha

you should remember 4 cycle of i $\rm i=\sqrt{-1}$$\rm i^2=-1$ $\rm i^3=-i$$\rm i^4=1$

21. anonymous

so the answer should be 63?

22. Nnesha

if you know that then you can find i^999

23. Nnesha

nope

24. anonymous

i have no clue

25. Nnesha

it's |dw:1441043195360:dw| i times -1 forgot the negative

26. Nnesha

i times -i**

27. Nnesha

|dw:1441043278896:dw| i^2=-1 now distribute -(-1) then combine them

28. Nnesha

you gotta be careful about signs especially negative

29. anonymous

so 64 -(-1) = 64+1 = 65

30. Nnesha

$$\huge\color{green}{\checkmark}$$

31. Nnesha

great job!

32. anonymous

okay let me check it on my math lab

33. anonymous

you rock!!

34. Nnesha

:=) i like to work with somone who really wants to learn not just waiting for the answer so great job!

35. anonymous

thank you i used to be really good at math but since ive graduated its like ive lost almost everything but your refreshing my memory! (;

36. Nnesha

aww congrats! so are u going to take calculus one right ? good luck!

37. anonymous

nope lol im not in calculus i wish i knew calculus it would give me an advantage im in a math prep for college and then im in an actual college class that will adventually teach us calculus.

38. anonymous

at GGC

39. Nnesha

ohh okay

40. anonymous

ill be on later im gonna attempt to work on some of these by my self now the foil with the i is still a bit confusing though.

41. anonymous

the prob was (2+7i)^2 and they want me to use foil i got 4+77i which is not correct

42. Nnesha

(2+7i)^2 is same as (2+7i)(2+7i) now foil!

43. anonymous

okay im gonna go step by step with how i got 4+77i

44. Nnesha

alright so plz show ur work :=)

45. anonymous

|dw:1441044467368:dw|

46. Nnesha

|dw:1441044870538:dw|

47. anonymous

okay so instead it is 4+28i+49 then i would add the 4+49 = 53+28i?

48. Nnesha

no it's $\huge\rm 4+28i+49i^2=4+28i+49(-1)$ 49 is positive before u distribute by negative on

49. anonymous

ah okay the signs get me again. then this should be -45+28i

50. Nnesha

looks good!

51. anonymous

okay one moment

52. Nnesha

okay

53. anonymous

your name proves you well you are definatly the human calculator (: it was correct

54. Nnesha

haha thanks for the compliment lol there are like 1000+ users who really good at math i'm just fine :3

55. anonymous

Lol well your help has worked wonders i will talk to you again later. Thank you!!

56. Nnesha

okay :D

57. Nnesha

& my pleasure :=)