Simplify square root of (-x)^30

$\sqrt{{(- x)}^{30}}$

Step 1

Apply the product rule to $- x$ .

$\sqrt{{(- 1)}^{30} x^{30}}$

Step 2

Raise $- 1$ to the power of $30$ .

$\sqrt{1 x^{30}}$

Step 3

Multiply $x^{30}$ by $1$ .

$\sqrt{x^{30}}$

Step 4

Rewrite $x^{30}$ as ${(x^{15})}^{2}$ .

$\sqrt{{(x^{15})}^{2}}$

Step 5

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

$x^{15}$