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Mathematics 17 Online
OpenStudy (artfis):

Rationalize the denominator and Simplify problem. HELP WITH NEXT STEP!!!

OpenStudy (artfis):

\[2y ^{4}\div \sqrt[4]{27x ^{11}} \] What does this problem look like once you multiply the numerator and denominator with the same denominator?

OpenStudy (agent0smith):

\[\huge \frac{ 2y ^{4} }{(27x ^{11})^\frac{ 1 }{ 4 } }* \frac{ (27x ^{11})^\frac{ 3 }{ 4 } }{ (27x ^{11})^\frac{ 3 }{ 4 }}\]maybe try this first

OpenStudy (agent0smith):

\[\large \frac{ 2y ^{4} }{(27x ^{11})^\frac{ 1 }{ 4 } }* \frac{ (27x ^{11})^\frac{ 3 }{ 4 } }{ (27x ^{11})^\frac{ 3 }{ 4 }} = \frac{ 2y ^{4} (27x ^{11})^\frac{ 3 }{ 4 } }{ 27x ^{11} }\]

OpenStudy (anonymous):

(x^11)^(1/4)=x^(11/4)=x^2*x^(3/4) (27x^11)^(1/4)=(3^3)^(1/4)*x^2*x^(3/4)=x^2*(3x)^(3/4) Then you need to multiply only by (3x)^(1/4)

OpenStudy (anonymous):

You can do this way or you need simplify answer to have only 3x^3 in denominator

OpenStudy (artfis):

I understand now. It helps me out a lot. Thank you. I just can't seem to see what the equation looks like physically. I don't know the equation isn't showing up for me personally.

OpenStudy (agent0smith):

If it's not loading for you, see this image:

OpenStudy (artfis):

Thanks. Now it loaded......

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