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OpenStudy (anonymous):
how do i change this into a rational exponent form?
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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
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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)
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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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