Algebra
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OpenStudy (angelwings996):
Simplest form help ?
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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
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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 \[\sqrt[3]{x^3} = x^\frac{3}{3}\]
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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 ?
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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
\[x^a=x^{1/a}\]
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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 :)