## anonymous one year ago If (44)x = 432, what is the value of x?

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1. Babynini

You want to get x alone on one side. How can you do that? :)

2. anonymous

i can do that by subtracting i think @Babynini

3. Babynini

hm no because x is not added to 44. it's multiplied.

4. anonymous

oh sorry i struggle a lot at math.

5. Babynini

it's ok! me too lol. So since it's multiplied, we're going to divide.

6. Babynini

divide both sides by 44 x=432/44

7. Babynini

(we got rid of the 44 on the left side by dividing it by 44!)

8. anonymous

lol and okay what are we multiplying?

9. anonymous

oh okay

10. Babynini

so what does that equal?

11. anonymous

i got on my calculator 9.8 idk how.

12. Babynini

That's exactly correct :) good job!!

13. anonymous

oh really thanks!

14. anonymous

now what do i do?

15. Babynini

so you just simplified the right side. and now your equation looks like this x=9.8 that's your answer :) (Do they ask for it in decimal or fraction form?)

16. anonymous

If (4^4)x = 4^32, what is the value of x? im very sorry i wrote the equation wrong.

17. anonymous

@Babynini

18. Babynini

is this a different question?

19. anonymous

yes

20. Babynini

ok :) first calculate 4^4

21. Babynini

do you know how?

22. anonymous

no

23. Babynini

ok. $4^4$ = 4 * 4 * 4 *4

24. Babynini

because it's 4, 4 times. so what does 4 * 4* 4*4 = ?

25. anonymous

it equals 16

26. anonymous

hello @Babynini

27. Babynini

no, that's 4 *4

28. anonymous

oh

29. Babynini

(sorry, working on my own math too :)) so here we have 4*4 = 16 16*4= ?

30. anonymous

oh im sorry if im disturbing you and is it 16X4 or 16 to the 4 power?

31. Babynini

no you're all good 16 x 4

32. anonymous

its 64

33. Babynini

ok, let me try to explain this better sweetie. $4^4= 4x4x4x4$ so first we take 4x4 = 16 then we take that answer and multiply it by 4 16x4 = 64 then we still have to multiply it by 4 one more time because we've only done it 3 times. 64 x 4 = ?

34. anonymous

it equals 256

35. Babynini

perfect, and that's your answer for 4^4 because now you've multiplied 4 four times. make sense?

36. Babynini

(4^4)x = 4^32 now we have 256x=4^32

37. anonymous

thank you so much and again im sorry for disturbing you from your own math homework. have a nice day/night

38. Babynini

wait! this stil has to be simplified more :)

39. Babynini

want to finish solving it?

40. anonymous

oh sorry i didnt know and yes please

41. Babynini

it's ok. so 256x=4^32

42. Babynini

now doing 4^32 would be a pain without a calculator. do you have a scientific calc?

43. anonymous

no i do not :/

44. Babynini

hrm ok, that's fine :)

45. anonymous

ok

46. Babynini

let's see what we can do then, give me a moment :)

47. anonymous

ok

48. Babynini

let's try getting x on one side by itself first then actually. so (4^4)x=4^32 we just did this, how do we get x by itself?

49. anonymous

dividing

50. anonymous

you have to divide both sides

51. Babynini

perfect!

52. Babynini

so we have $x=\frac{ 4^{32} }{ 4^4 }$

53. anonymous

ok

54. Babynini

that can be simplified more but i'm not sure how :/

55. anonymous

oh i understand now

56. anonymous

i get now

57. Babynini

ok!

58. anonymous

thanks for all your help and again sorry for interrupting you from your own math homework.

59. anonymous

bye see ya

60. Babynini

no it's all good :) cya

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