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# ​ Simplify. 27x6y3−−−−−√3 Assume all variables are nonnegative.

-1
214
1
+797

Simplify.

27x6y3−−−−−−√3

Assume all variables are nonnegative.

AngelRay  Dec 20, 2017

#1
+19207
+2

Simplify.

cuberoot(27x^6y^3)

Assume all variables are nonnegative.

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

heureka  Dec 20, 2017
Sort:

#1
+19207
+2

Simplify.

cuberoot(27x^6y^3)

Assume all variables are nonnegative.

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

heureka  Dec 20, 2017

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