# How do you express the following using fractional exponents: sqrt(x^4)?

We know that : $\sqrt[a]{{x}^{b}} = {x}^{\frac{b}{a}}$.
Therefore, $\sqrt{{x}^{4}} = \sqrt[2]{{x}^{4}} = {x}^{\frac{4}{2}} = {x}^{2}$.