Select the correct answer. Rewrite the following expression. x^(10)/(3) A. ((1)/(sqrt [3](x)))^10 B. (x^3)sqrt [3](x) C. sqrt [3](x^7) D. (x^3)sqrt (x)

The correct answer is B. $(x^{3})\sqrt [3]{x}$<br /><br />Explanation:<br />To rewrite the expression $x^{\frac{10}{3}}$, we can use the property of exponents that states $a^{\frac{m}{n}} = \sqrt[n]{a^m}$.<br /><br />In this case, we have $x^{\frac{10}{3}}$, which can be rewritten as $\sqrt[3]{x^{10}}$.<br /><br />Expanding the cube root, we get $(x^{3})\sqrt[3]{x}$.<br /><br />Therefore, the correct answer is B. $(x^{3})\sqrt[3]{x}$.