Simplify \root(3)(8x^(6))y^(12)

The simplification form of the provided expression is 2x²y⁴ option first is correct.
It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]= \rm \sqrt[3]{8x^6y^{12}}[/tex]
[tex]\rm =\sqrt[3]{8}\sqrt[3]{x^6}\sqrt[3]{y^{12}}[/tex]
[tex]\rm \rm = \rm 2\sqrt[3]{x^6}\sqrt[3]{y^{12}}[/tex]
[tex]\rm =2x^2\sqrt[3]{y^{12}}[/tex]
[tex]\rm =2x^2y^4[/tex]
Thus, the simplification form of the provided expression is 2x²y⁴ option first is correct.
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