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Mathematics 5 Online
OpenStudy (anonymous):

Rewrite with rational exponents

OpenStudy (anonymous):

\[(\sqrt[13]{3x ^{6}y})^{5}\]

OpenStudy (king):

\[(3x ^{6}y)^{5}\] \[=3x ^{30}y^{5}\] that is 3x^30/13 and y^5/13 so rational exponents are 30/13 and 5/13

OpenStudy (anonymous):

so you mean =3x^30/13y^5/13?

OpenStudy (dumbcow):

\[\large = 3^{5/13}x^{30/13}y^{5/13}\]

OpenStudy (anonymous):

ok. Thought so. In the future I would just re write the problem such as (3x^6/13y^1/13)^5 right and than multiply etc

OpenStudy (dumbcow):

correct, but don't forget about the 3 or any constant must share rational exponent as well

OpenStudy (anonymous):

ah ok so as mentioned ur answers is the final answer, makes sense. Was confused for a moment if I just multiplied or what not but thanks for helping

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