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avatar+1016 

Simplify.

27x6y3−−−−−−√3

Assume all variables are nonnegative.

 Dec 20, 2017

Best Answer 

 #1
avatar+22554 
+2

Simplify.

cuberoot(27x^6y^3)

Assume all variables are nonnegative.

 

\(\begin{array}{|rcll|} \hline && \sqrt[3]{27x^6y^3} \\ &=& \sqrt[3]{3^3x^3x^3y^3} \\ &=& \sqrt[3]{3^3}\sqrt[3]{x^3}\sqrt[3]{x^3}\sqrt[3]{y^3} \\ &=& 3xxy \\ &=& 3x^2y \\ \hline \end{array}\)

 

laugh

 Dec 20, 2017
 #1
avatar+22554 
+2
Best Answer

Simplify.

cuberoot(27x^6y^3)

Assume all variables are nonnegative.

 

\(\begin{array}{|rcll|} \hline && \sqrt[3]{27x^6y^3} \\ &=& \sqrt[3]{3^3x^3x^3y^3} \\ &=& \sqrt[3]{3^3}\sqrt[3]{x^3}\sqrt[3]{x^3}\sqrt[3]{y^3} \\ &=& 3xxy \\ &=& 3x^2y \\ \hline \end{array}\)

 

laugh

heureka Dec 20, 2017

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