Answer:
[tex]x(\sqrt[12]{x^5} )[/tex]
Step-by-step explanation:
We need to remember 2 rules when doing these:
1. [tex]\sqrt[n]{x^a} =x^{\frac{a}{n}}[/tex]
2. [tex]x^a*x^b=x^{ab}[/tex]
Using these 2 rules, we can simplify the product (steps shown below):
[tex]\sqrt[3]{x^2} *\sqrt[4]{x^3} \\=x^{\frac{2}{3}}*x^{\frac{3}{4}}\\=x^{\frac{2}{3}+\frac{3}{4}}\\=x^{\frac{17}{12}}\\=x^{\frac{12}{12}+\frac{5}{12}}\\=x(x^{\frac{5}{12}})\\=x(\sqrt[12]{x^5} )[/tex]
Rearranging, we see that it is the third choice.
