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Mathematics 18 Online
OpenStudy (anonymous):

Simplify and leave in radical form : https://media.glynlyon.com/g_alg02_2013/9/q12140.gif

OpenStudy (anonymous):

its already simplified

OpenStudy (anonymous):

y^6 = y*y*y*y*y*y

OpenStudy (anonymous):

I dont think it is. the way the answer format is it wouldnt fit.

OpenStudy (anonymous):

you would need y^8 power to simplify

OpenStudy (anonymous):

wait one sec.

OpenStudy (anonymous):

\[\sqrt[4]{x*y ^{3}}\]

OpenStudy (anonymous):

\[x^{2/8}*y ^{6/8}\]

OpenStudy (anonymous):

simplify the fractions

OpenStudy (anonymous):

\[x^{1/4}* y^{3/4}\]

OpenStudy (anonymous):

thank you.

OpenStudy (anonymous):

which equals \[\sqrt[4]{x*y ^{3}}\]

OpenStudy (anonymous):

\[\sqrt[8]{x^2y^6}=\left( x^2y^6 \right)^{\frac{ 1 }{8 }}=\left( x^2 \right)^{\frac{ 1 }{ 8 }} \left( y^6 \right)^{\frac{ 1 }{ 8 }}\] \[=x ^{2\times \frac{ 1 }{8 }}y ^{\frac{ 6 }{8 }}=x ^{\frac{ 1 }{4 }}y ^{\frac{ 3 }{4 }}=\sqrt[4]{ x}\sqrt[4]{y^3 }\] \[=\sqrt[4]{xy^3}\]

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