Step-by-step explanation:
Rules:
[tex] \sqrt[n]{a} = a^{\frac{1}{n}} [/tex]
[tex] \sqrt[n]{a^m} = a^{\frac{m}{n}} [/tex]
1.
[tex]\sqrt[3]{2} = 2^{\frac{1}{2}}[/tex]
2.
[tex] \sqrt[3]{2x^2} = \sqrt[3]{2} \sqrt[3]{x^2} = 2^{\frac{1}{3}}x^{\frac{2}{3}} [/tex]
3.
[tex]\sqrt[3]{(2x)^2} = \sqrt[3]{4x^2} = \sqrt[3]{4} \sqrt[3]{x^2} = 4^{\frac{1}{3}}x^{\frac{2}{3}}[/tex]
