Simplify x square root of x^3

$x \sqrt{x^{3}}$

Factor out $x^{2}$ .

$x \sqrt{x^{2} x}$

Pull terms out from under the radical.

$x (x \sqrt{x})$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$x \cdot x \sqrt{x}$

Multiply $x$ by $x$ .

$x^{2} \sqrt{x}$