Algebra Examples

$\sqrt[5]{{(- y)}^{10}}$

Step 1

Apply the product rule to $- y$ .

$\sqrt[5]{{(- 1)}^{10} y^{10}}$

Step 2

Raise $- 1$ to the power of $10$ .

$\sqrt[5]{1 y^{10}}$

Step 3

Multiply $y^{10}$ by $1$ .

$\sqrt[5]{y^{10}}$

Step 4

Rewrite $y^{10}$ as ${(y^{2})}^{5}$ .

$\sqrt[5]{{(y^{2})}^{5}}$

Step 5

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

$y^{2}$