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Hello!

[tex]\large\boxed{x^{4}}[/tex]

Recall that:

[tex]\sqrt[z]{x^{y} }[/tex] is equal to [tex]x^{\frac{y}{z} }[/tex].  Therefore:

[tex]\sqrt[3]{x^{2} } = x^{\frac{2}{3} }[/tex]

There is also an exponent of '6' outside. According to exponential properties, when an exponent is within an exponent, you multiply them together. Therefore:

[tex](x^{\frac{2}{3} })^{6} = x^{\frac{2}{3}* 6 } = x^{\frac{12}{3} } = x^{4}[/tex]