Question 133100
*[Tex \LARGE \sqrt[3]{x^{6}}] Start with the given expression





*[Tex \LARGE \left(x^{6}\right)^{\frac{1}{3}}] Convert the expression from radical notation to exponent notation. Remember *[Tex \LARGE \sqrt[3]{\textrm{A}}=\textrm{A}^{\frac{1}{3}}]




 

*[Tex \LARGE x^{\frac{6}{3}}] Now multiply the exponents

 



*[Tex \LARGE x^{2}] Reduce






So *[Tex \LARGE \sqrt[3]{x^{6}}] simplifies to *[Tex \LARGE x^{2}]. In other words, *[Tex \LARGE \sqrt[3]{x^{6}}=x^{2}] where x is positive.