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Algebra 20 Online
OpenStudy (angelwings996):

Simplest form help ?

OpenStudy (hba):

@angelwings996 Um,Where is the question ?

OpenStudy (angelwings996):

Sorry, Im trying to put it into the equation

OpenStudy (hba):

I gotta go sleep. Someone will be here to help you soon :)

OpenStudy (angelwings996):

\[\frac{ \sqrt[3]{x ^{3}} }{ \sqrt[5]{x ^{2}} }\]

OpenStudy (angelwings996):

This is the equation I need to put in simplest form

OpenStudy (anonymous):

have no fear amparo is here LOL

OpenStudy (angelwings996):

Haha Okaay

OpenStudy (hba):

\[[\huge\ \frac{ \sqrt[3]{x ^{3}} }{ \sqrt[5]{x ^{2}} }] =(x^3)^{1/3}/(x^2)^{1/5}\]

OpenStudy (anonymous):

@angelwings996 , when meeting stuff like this, put the number at LEFT of the square root sign as DENOMINATOR

OpenStudy (anonymous):

so \[\sqrt[3]{x^3} = x^\frac{3}{3}\]

OpenStudy (anonymous):

\[\sqrt[3]{x^2}=x^\frac{2}{3}\]

OpenStudy (angelwings996):

Wouldn't it be 5 instead of 3 for the second one ?

OpenStudy (anonymous):

\[\sqrt[100]{x^7}=x^\frac{7}{100}\]

OpenStudy (anonymous):

in your question, yes

OpenStudy (angelwings996):

How did you get 100 and 7 ?

OpenStudy (angelwings996):

or is it an example ?

OpenStudy (anonymous):

that's just an example to show the use of the trick

OpenStudy (angelwings996):

Okay, so what would I do now ?

OpenStudy (anonymous):

if they numbers have the same base, u do: exponent on top - exponent below

OpenStudy (hba):

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

OpenStudy (anonymous):

so it's 3/3-2/5 = 3/5 answer should be x^(3/5)

OpenStudy (angelwings996):

Oh I see!

OpenStudy (angelwings996):

Thank you so much for your guys' help (:

OpenStudy (anonymous):

Np :)

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