Precalculus Examples

$\sqrt[8]{8 y^{16}}$

Step 1

Rewrite $8 y^{16}$ as ${(y^{2})}^{8} \cdot 8$ .

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Step 1.1

Rewrite $y^{16}$ as ${(y^{2})}^{8}$ .

$\sqrt[8]{8 {(y^{2})}^{8}}$

Step 1.2

Reorder $8$ and ${(y^{2})}^{8}$ .

$\sqrt[8]{{(y^{2})}^{8} \cdot 8}$

$\sqrt[8]{{(y^{2})}^{8} \cdot 8}$

Step 2

Pull terms out from under the radical.

$y^{2} \sqrt[8]{8}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$