Simplify x square root of x^8

$x \sqrt{x^{8}}$

Step 1

Rewrite $x^{8}$ as ${(x^{4})}^{2}$ .

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

Step 2

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

$x \cdot x^{4}$

Step 3

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

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

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

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

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

$x^{1 + 4}$

Add $1$ and $4$ .

$x^{5}$