Simplify x square root of x^6

$x \sqrt{x^{6}}$

Step 1

Rewrite $x^{6}$ as ${(x^{3})}^{2}$ .

$x \sqrt{{(x^{3})}^{2}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$x \cdot x^{3}$

Step 3

Multiply $x$ by $x^{3}$ by adding the exponents.

Multiply $x$ by $x^{3}$ .

Raise $x$ to the power of $1$ .

$x^{1} x^{3}$

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

$x^{1 + 3}$

Add $1$ and $3$ .

$x^{4}$