Pre-Algebra Examples

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

Step 1

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

$\sqrt[4]{a x \cdot 100000}$

Step 2

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

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Step 2.1

Factor $10000$ out of $100000$ .

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

Step 2.2

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

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

Step 2.3

Move $x$ .

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

Step 2.4

Reorder $a$ and $10^{4}$ .

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

Step 2.5

Add parentheses.

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

Step 2.6

Add parentheses.

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

Step 3

Pull terms out from under the radical.

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

Step 4

Reorder factors in $10 \sqrt[4]{a x \cdot 10}$ .

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