Hello, the author seems to contradict herself in the following examples. See below

This Is correct

Expression 1:

Expression 2:

I think the author did this incorrectly

$\displaystyle \sqrt[4]{x^3}=x^{3/4}$

If we follow the logic of expression 1 should it should be$\displaystyle \sqrt[4]{x^3}=(x^3)^{1/4}$

Could someone please verify this seemingly contradictory expression?

Thanks