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Mathematics 14 Online
OpenStudy (anonymous):

use a rational exponent to write sq.rt x??

OpenStudy (allank):

Hint: Note that a^(1/3) = cube root of a

OpenStudy (anonymous):

I am so lost???

OpenStudy (anonymous):

x^-1/n ?????

OpenStudy (allank):

You have the hang of it. Just adjust lose the -ve and replace the n with 2

OpenStudy (anonymous):

x^ 1/2 ??

OpenStudy (anonymous):

\[x^{\frac{p}{q}}\] \(p\) is the power, \(q\) is the root for example \[x^{\frac{2}{3}}\] means \[\sqrt[3]{x^2}\]

OpenStudy (allank):

You're right, but make sure you understand what @satellite73 has said.

OpenStudy (anonymous):

and \(\sqrt[5]{x^2}=x^{\frac{2}{5}}\)

OpenStudy (anonymous):

wish I knew it as well as you two.

OpenStudy (anonymous):

yes, \(\sqrt{x}=\sqrt[2]{x^1}=x^{\frac{1}{2}}\)

OpenStudy (anonymous):

that is why you are doing homework. this is simply notation, no one is born knowing it or "good" at it, you only need to practice

OpenStudy (anonymous):

thanks :)

OpenStudy (lopus):

\[\sqrt{x}=x^{1/2}\] \[\sqrt[4]{x}=x^{1/4}\] \[\sqrt[3]{x^{2}}=x^{2/3}\]

OpenStudy (anonymous):

\[x^{1/5}\] what expression does this equal???

OpenStudy (anonymous):

\[\sqrt[5]{x

OpenStudy (lopus):

\[\sqrt[5]{x^{1}}\]

OpenStudy (anonymous):

oh heck that didnt comeout right.

OpenStudy (anonymous):

that is not one of the choices??

OpenStudy (anonymous):

the choices are 4 or 5sq.rt.x or 1/5 or 1/9

OpenStudy (anonymous):

plus 4 others???

OpenStudy (lopus):

\[\sqrt[5]{x^{1}}=\sqrt[5]{x}\]

OpenStudy (lopus):

5sq.rt.x

OpenStudy (anonymous):

ok, that is what I was going for but was not sure. tytytyty

OpenStudy (lopus):

\[\sqrt[b]{x^{a}}=x^{a/b}\]

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