To represent the root of a number as an exponent we need to use fractions, where the denominator will be the order of the root and the numerator will be the exponent of the argument. For example:
![\sqrt[]{x}=x^{(1)/(2)}^{}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/70ej67glip4y4c67rl38.png)
Since we were dealing with a square root, the denominator must be 2 and the exponent for the argument (x) is 1, therefore the numerator must be 1 as well.
This does make sense because to calculate the power of a number we need to multiply it by itself a number of times, which is determined by the exponent. In this case, we would have to multiply it by half, which in other words means that we have to find the number that multiplied by itself will result in x, which is the same as the square root.