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Mathematics 22 Online
OpenStudy (anonymous):

how do i change this into a rational exponent form?

OpenStudy (anonymous):

\[\sqrt[5]{x \times x ^{2/5} \times ^{3/5} \times ^{4/5}}\]

OpenStudy (anonymous):

@jim_thompson5910 @jigglypuff314

jigglypuff314 (jigglypuff314):

*confused by the multiplication signs versus the x's*

jigglypuff314 (jigglypuff314):

you would use the exponent rules to first simplify the things inside the big square root

OpenStudy (anonymous):

i know how to do it but this one is too big so it confuses me

jigglypuff314 (jigglypuff314):

could you try rewriting the multiplying part of the expression? or maybe a screenshot?

OpenStudy (anonymous):

k ill do screen shot

OpenStudy (anonymous):

OpenStudy (anonymous):

can you see it?

jigglypuff314 (jigglypuff314):

ohhhhhh That makes more sense now, thank you! let's see... fifth root x = x^(1/5)

jigglypuff314 (jigglypuff314):

then know that x^a * x^b = x^(a+b) so like x^(2/5) * x^(3/5) = x^(2/5 + 3/5) = x^(5/5) = x^1 = x

OpenStudy (anonymous):

ohh okay so at the end will it be x^2?

jigglypuff314 (jigglypuff314):

yep ^_^

OpenStudy (anonymous):

Thank you so much because i was used to adding them up then changing it to rational form so i got confused at the end but thank you!

jigglypuff314 (jigglypuff314):

Glad I could help :)

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