Question

simplefiy the expression the x^10/2 is the problem the rest are the answers by the way
`\sqrt[5]{x^1^0} /2`

Answer 1

The problem you have written

`\sqrt[5]{x^(10)}/2`

simplifies to

`x^2/2=(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]{(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}}`