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OpenStudy (babynini):
You want to get x alone on one side. How can you do that? :)
OpenStudy (anonymous):
i can do that by subtracting i think @Babynini
OpenStudy (babynini):
hm no because x is not added to 44. it's multiplied.
OpenStudy (anonymous):
oh sorry i struggle a lot at math.
OpenStudy (babynini):
it's ok! me too lol. So since it's multiplied, we're going to divide.
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OpenStudy (babynini):
divide both sides by 44
x=432/44
OpenStudy (babynini):
(we got rid of the 44 on the left side by dividing it by 44!)
OpenStudy (anonymous):
lol and okay what are we multiplying?
OpenStudy (anonymous):
oh okay
OpenStudy (babynini):
so what does that equal?
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OpenStudy (anonymous):
i got on my calculator 9.8 idk how.
OpenStudy (babynini):
That's exactly correct :) good job!!
OpenStudy (anonymous):
oh really thanks!
OpenStudy (anonymous):
now what do i do?
OpenStudy (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?)
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OpenStudy (anonymous):
If (4^4)x = 4^32, what is the value of x? im very sorry i wrote the equation wrong.
OpenStudy (anonymous):
@Babynini
OpenStudy (babynini):
is this a different question?
OpenStudy (anonymous):
yes
OpenStudy (babynini):
ok :)
first calculate 4^4
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OpenStudy (babynini):
do you know how?
OpenStudy (anonymous):
no
OpenStudy (babynini):
ok.
\[4^4\] = 4 * 4 * 4 *4
OpenStudy (babynini):
because it's 4, 4 times. so what does
4 * 4* 4*4 = ?
OpenStudy (anonymous):
it equals 16
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OpenStudy (anonymous):
hello @Babynini
OpenStudy (babynini):
no, that's 4 *4
OpenStudy (anonymous):
oh
OpenStudy (babynini):
(sorry, working on my own math too :))
so here we have
4*4 = 16
16*4= ?
OpenStudy (anonymous):
oh im sorry if im disturbing you and is it 16X4 or 16 to the 4 power?
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OpenStudy (babynini):
no you're all good
16 x 4
OpenStudy (anonymous):
its 64
OpenStudy (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 = ?
OpenStudy (anonymous):
it equals 256
OpenStudy (babynini):
perfect, and that's your answer for 4^4 because now you've multiplied 4 four times. make sense?
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OpenStudy (babynini):
(4^4)x = 4^32
now we have
256x=4^32
OpenStudy (anonymous):
thank you so much and again im sorry for disturbing you from your own math homework. have a nice day/night
OpenStudy (babynini):
wait! this stil has to be simplified more :)
OpenStudy (babynini):
want to finish solving it?
OpenStudy (anonymous):
oh sorry i didnt know and yes please
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OpenStudy (babynini):
it's ok.
so 256x=4^32
OpenStudy (babynini):
now doing 4^32 would be a pain without a calculator. do you have a scientific calc?
OpenStudy (anonymous):
no i do not :/
OpenStudy (babynini):
hrm ok, that's fine :)
OpenStudy (anonymous):
ok
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OpenStudy (babynini):
let's see what we can do then, give me a moment :)
OpenStudy (anonymous):
ok
OpenStudy (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?
OpenStudy (anonymous):
dividing
OpenStudy (anonymous):
you have to divide both sides
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OpenStudy (babynini):
perfect!
OpenStudy (babynini):
so we have
\[x=\frac{ 4^{32} }{ 4^4 }\]
OpenStudy (anonymous):
ok
OpenStudy (babynini):
that can be simplified more but i'm not sure how :/
OpenStudy (anonymous):
oh i understand now
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OpenStudy (anonymous):
i get now
OpenStudy (babynini):
ok!
OpenStudy (anonymous):
thanks for all your help and again sorry for interrupting you from your own math homework.