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Mathematics 10 Online
OpenStudy (poopsiedoodle):

Simplify the following problem

OpenStudy (poopsiedoodle):

\[\Huge\left( x ^{1/2} \right)^{1/6}\]

OpenStudy (poopsiedoodle):

I hate these so much

OpenStudy (shubhamsrg):

what if i ask you (x^2)^3 ?

OpenStudy (poopsiedoodle):

I'm going to guess that this is x^2/4

OpenStudy (poopsiedoodle):

2/3*

OpenStudy (shubhamsrg):

why you divided the powers? o.O

OpenStudy (poopsiedoodle):

wat

OpenStudy (anonymous):

\[\frac{1}{2}\times \frac{1}{6}=?\]

OpenStudy (poopsiedoodle):

\[2/3.\] So, am I right about it being \[\Huge{x^{2/3}}\] ?

OpenStudy (anonymous):

multiply fractions by multiplying straight across

OpenStudy (poopsiedoodle):

oops. \[1/12\]

OpenStudy (anonymous):

So this is the general rule: \[(x^m)^n=x^{mn}\] So \[(x^{\frac{1}{2}})^{\frac{1}{6}}= x^{\frac{1}{2} \times \frac{1}{6}}\]

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