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Mathematics 17 Online
OpenStudy (joftheworld):

someone please help me with this D:

OpenStudy (joftheworld):

OpenStudy (anonymous):

hold on give me a minute to evaluate this hun

OpenStudy (mokeira):

it i same as \[(27x^3y^6)^\frac{ 1 }{ 6 }\] multiply exponents \[27^\frac{ 1 }{ 6 } x ^\frac{ 1 }{2 }y\]

OpenStudy (joftheworld):

@Mokeira thats what i got but it said it was incorrect..

OpenStudy (anonymous):

dang i got the same thing .... :/

OpenStudy (joftheworld):

i know.. i dont know how its wrong...

OpenStudy (joftheworld):

is there a way to simplify it more ?

OpenStudy (anonymous):

tbh hun i dont know im trying my best to evaluate it but ill let you know if i get anything different

OpenStudy (joftheworld):

alright thanks <3

OpenStudy (anonymous):

no problem hun

OpenStudy (mokeira):

i guess you can do this \[(3^3x^3y^6)^\frac{ 1 }{6 }=3^\frac{ 1 }{2 }x^\frac{ 1 }{ 2}y\]

OpenStudy (mokeira):

hope you can read what i ave written lol

OpenStudy (joftheworld):

sadly it still came out incorrect..

OpenStudy (anonymous):

yea i can read it i think he can also read it ....but i think that could be right doe .... its hard to tel cause this question is kind of challenging u feel me

OpenStudy (joftheworld):

@ganeshie8

OpenStudy (anonymous):

since it's multiplied under the root you can solve them seperately

OpenStudy (joftheworld):

how ?

OpenStudy (anonymous):

\[\Large \sqrt[6]{27x^3y^6}=\sqrt[6]{27}*\sqrt[6]{x^3}*\sqrt[6]{y^6}\]

OpenStudy (anonymous):

note that you can only do this when the numbers/terms under the root are multiplied with each other, it will not work when they are added/subtracted

OpenStudy (anonymous):

i hope you also know that \(\Large \sqrt[a]{x}=x^{\frac{ 1 }{ a }}\) so \(\Large \sqrt[6]{y^6} = y^{ \frac{ 6 }{ 6 }}=y^1=y\)

OpenStudy (anonymous):

i really have to go now though, so if you haven't solved it by the time i'm back or if noone else helps you solve the rest of it i'll continue helping you.

OpenStudy (joftheworld):

ive tried that step and still says its wrong.

OpenStudy (anonymous):

simplify each of these factors seperately

OpenStudy (joftheworld):

have you tried writing it in exponential form ?

OpenStudy (joftheworld):

heres kind of an example..

OpenStudy (anonymous):

tbh .... this question got me thinking ....it truly is challenging .. but ima ask for help to try to get you the right answer hun

OpenStudy (joftheworld):

thankkss

OpenStudy (anonymous):

just give me some time ... is there a exact time that you need to turn this in love

OpenStudy (joftheworld):

i have to finish this lesson today.. its the last one.. but theres a few more questions like these..

OpenStudy (anonymous):

ok well ima try my best to get this done ... ill keep u updated on wht i got love :)

OpenStudy (joftheworld):

thanks :) ill brb

OpenStudy (anonymous):

k

OpenStudy (joftheworld):

im back

OpenStudy (anonymous):

lol ok look love .....look at my page i posted yo question and people answered it so let me know if they did it correctly

OpenStudy (joftheworld):

yeah it was :) thankks! but i need help with a few more of those questions ..

OpenStudy (anonymous):

lol good im glad i could help you in some way and send them to me so i cna post them ot maybe solve them myself :)

OpenStudy (joftheworld):

OpenStudy (anonymous):

@joftheworld \[\Large \sqrt[6]{125x^3y^9z^6}=(125x^3y^9z^6)^{1/6}=125^{1/6}*x^{3/6}*y^{9/6}*z^{6/6}\]

OpenStudy (anonymous):

\[\Large 125^{1/6}=\sqrt[6]{125}=\sqrt{125^{1/3}}=\sqrt{5}~(since~5*5*5=125)\]

OpenStudy (anonymous):

\[\Large x^{3/6} = x^{1/2} = \sqrt{x}\] \[\Large y^{9/6} = y^{3/2} = y\sqrt{y}\] \[\Large z^{6/6} = z^{1} = z\] \[\Large \sqrt[6]{125x^3y^9z^6}=\sqrt{5}\sqrt{x}y \sqrt{y}z=yz \sqrt{5xy}\]

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