Simplify the Radical Expression ( square root of x)^5

${(\sqrt{x})}^{5}$

Step 1

Rewrite ${\sqrt{x}}^{5}$ as ${(x^{5})}^{\frac{1}{2}}$ .

$\sqrt{x^{5}}$

Step 2

Rewrite $x^{5}$ as ${(x^{2})}^{2} x$ .

Factor out $x^{4}$ .

$\sqrt{x^{4} x}$

Rewrite $x^{4}$ as ${(x^{2})}^{2}$ .

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

Step 3

Pull terms out from under the radical.

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

Step 4

Remove non-negative terms from the absolute value.

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