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Mathematics 15 Online
OpenStudy (sparklestaraa):

find area of rectangle

OpenStudy (sparklestaraa):

OpenStudy (sparklestaraa):

@OOOPS

OpenStudy (anonymous):

what's the formula man?

OpenStudy (sparklestaraa):

u mean the formula for the problem?

OpenStudy (anonymous):

Yes

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

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?, \[ 3^x = 81 \ \ \ x \ = \ ? \]

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

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

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?

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):

\[3^{4/3} \ + 3^{2/3} \ = 3^{4/3 + 2/3} \ = 3^{6/3} \ = 3^2 \]

OpenStudy (anonymous):

@fatZak good job dude :)

OpenStudy (anonymous):

thanks

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