Algebra Examples

$\sqrt[4]{10^{5} x}$

Step 1

Raise $10$ to the power of $5$ .

$\sqrt[4]{100000 x}$

Step 2

Rewrite $100000 x$ as $10^{4} \cdot (10 x)$ .

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Step 2.1

Factor $10000$ out of $100000$ .

$\sqrt[4]{10000 (10) x}$

Step 2.2

Rewrite $10000$ as $10^{4}$ .

$\sqrt[4]{10^{4} \cdot 10 x}$

Step 2.3

Add parentheses.

$\sqrt[4]{10^{4} \cdot (10 x)}$

Step 3

Pull terms out from under the radical.

$| 10 | \sqrt[4]{10 x}$

Step 4

The absolute value is the distance between a number and zero. The distance between $0$ and $10$ is $10$ .

$10 \sqrt[4]{10 x}$