Simplify x^4 square root of x^2

$x^{4} \sqrt{x^{2}}$

Step 1

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

$x^{4} x$

Step 2

Multiply $x^{4}$ by $x$ by adding the exponents.

Multiply $x^{4}$ by $x$ .

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

$x^{4} x^{1}$

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

$x^{4 + 1}$

Add $4$ and $1$ .

$x^{5}$