Question

simplefiy the expression the x^10/2 is the problem the rest are the answers by the wayrt%5B5%5D%7Bx%5E1%5E0%7D%20%2F2%20" id="TexFormula1" title=" \sqrt[5]{x^1^0} /2 " alt=" \sqrt[5]{x^1^0} /2 " align="absmiddle" class="latex-formula">

Answer 1

The problem you have written

$\sqrt[5]{x^{10}}/2$

simplifies to

$x^2/2=\dfrac{x^2}{2}$

_____

If you intend

$\sqrt[5]{x^{10}/2}$

then you can multiply by the appropriate fraction to get your first answer choice.

$\displaystyle\sqrt[5]{\frac{x^{10}}{2}}=\frac{\sqrt[5]{x^{10}}}{\sqrt[5]{2}}\cdot\frac{\sqrt[5]{2^4}}{\sqrt[5]{2^4}}\\\\=\frac{x^{2}\sqrt[5]{16}}{\sqrt[5]{2^{5}}}=\bf{\frac{x^{2}\sqrt[5]{16}}{2}}$