Simplify square root of x^3* square root of x

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

Factor out $x^{2}$ .

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

Pull terms out from under the radical.

$x \sqrt{x} \cdot \sqrt{x}$

Multiply $x \sqrt{x} \sqrt{x}$ .

Raise $\sqrt{x}$ to the power of $1$ .

$x ({\sqrt{x}}^{1} \sqrt{x})$

Raise $\sqrt{x}$ to the power of $1$ .

$x ({\sqrt{x}}^{1} {\sqrt{x}}^{1})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x {\sqrt{x}}^{1 + 1}$

Add $1$ and $1$ .

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

Rewrite ${\sqrt{x}}^{2}$ as $x$ .

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x}$ as $x^{\frac{1}{2}}$ .

$x {(x^{\frac{1}{2}})}^{2}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x \cdot x^{\frac{1}{2} \cdot 2}$

Combine $\frac{1}{2}$ and $2$ .

$x \cdot x^{\frac{2}{2}}$

Cancel the common factor of $2$ .

Cancel the common factor.

$x \cdot x^{\frac{2}{2}}$

Rewrite the expression.

$x \cdot x^{1}$

Simplify.

$x \cdot x$

Multiply $x$ by $x$ .

$x^{2}$