Find the Domain square root of x^14

Set the radicand in ${\displaystyle \sqrt{x^{14}}}$ greater than or equal to ${\displaystyle 0}$ to find where the expression is defined.

Since the left side has an even power, it is always positive for all real numbers.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.