Mathematics
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OpenStudy (sparklestaraa):
find area of rectangle
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OpenStudy (sparklestaraa):
OpenStudy (sparklestaraa):
@OOOPS
OpenStudy (anonymous):
what's the formula man?
OpenStudy (sparklestaraa):
u mean the formula for the problem?
OpenStudy (anonymous):
Yes
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OpenStudy (sparklestaraa):
a ^m-n=
OpenStudy (anonymous):
area of rectangle?
OpenStudy (sparklestaraa):
duh xd area= lxw
OpenStudy (sparklestaraa):
l*w
OpenStudy (sparklestaraa):
how do i turn \[\sqrt[3]{81}\] into a fraction
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OpenStudy (anonymous):
:)
now you have l as 81 cubeth root
w as 3 to the power 2/3
OpenStudy (anonymous):
can you express 81 interms of 3? like 3 to the power something?
OpenStudy (sparklestaraa):
ummmm 81 1/3
OpenStudy (sparklestaraa):
thats wrong isn't it
OpenStudy (anonymous):
what?, \[ 3^x = 81 \ \ \ x \ = \ ? \]
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OpenStudy (anonymous):
divide 81 by 3, see how many times it can divisible by 3,
see 9 = 3^2 that's because 9 can be divisible by 3 two times.
OpenStudy (anonymous):
u two r doing great :)
OpenStudy (sparklestaraa):
27
OpenStudy (anonymous):
okay 3*27 = 81, still 27 can be divided by 3 right?
divide until you left with 1.
OpenStudy (sparklestaraa):
9
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OpenStudy (sparklestaraa):
3 overall
OpenStudy (anonymous):
3*3 = 9
3*3 = 9
9*9 = 81 = 3*3*3*3 four times right?
OpenStudy (sparklestaraa):
oh so 3^4
OpenStudy (anonymous):
hmm, now do the l*w thing
OpenStudy (sparklestaraa):
wait do 3^4 * what
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OpenStudy (anonymous):
\[\sqrt[3]{81} \ = \sqrt[3]{3^4} \ = 3^{4/3}\]
OpenStudy (anonymous):
we have l as 3^[4/3] right?
and w as 3 ^[2/3]
so do l*w
OpenStudy (sparklestaraa):
3 4/3 * 3 2/3
OpenStudy (sparklestaraa):
lol yes what u wrote
OpenStudy (anonymous):
hmm now you know the formula
\[a^m + a^n = a^{m+n}\] right?
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OpenStudy (sparklestaraa):
yes
OpenStudy (sparklestaraa):
9 8/3?
OpenStudy (anonymous):
@fatZak from around 15minutes what are you doing buddy?
OpenStudy (anonymous):
Area of a rectangle = lenght x width
\[Area= \sqrt[3]{81}\times3^{\frac{2}{3}}\]
\[Area = 81^{\frac{1}{3}}\times3^{\frac{2}{3}}\]
\[Area = 3^{4\times\frac{1}{3}}\times3^{\frac{2}{3}}\]
\[Area = 3^{\frac{4}{3}}\times3^{\frac{2}{3}}\]\[Area = 3^{\frac{4}{3}+\frac{2}{3}}\]\[Area = 3^{\frac{6}{3}}\]\[Area = 3^{2}\]\[Area = 9\]
OpenStudy (anonymous):
\[3^{4/3} \ + 3^{2/3} \ = 3^{4/3 + 2/3} \ = 3^{6/3} \ = 3^2 \]
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OpenStudy (anonymous):
@fatZak good job dude :)
OpenStudy (anonymous):
thanks