Simplify cube root of 10^4x

$\sqrt[3]{10^{4} x}$

Step 1

Raise $10$ to the power of $4$ .

$\sqrt[3]{10000 x}$

Step 2

Rewrite $10000 x$ as $10^{3} \cdot (10 x)$ .

Factor $1000$ out of $10000$ .

$\sqrt[3]{1000 (10) x}$

Rewrite $1000$ as $10^{3}$ .

$\sqrt[3]{10^{3} \cdot 10 x}$

Add parentheses.

$\sqrt[3]{10^{3} \cdot (10 x)}$

$\sqrt[3]{10^{3} \cdot (10 x)}$

Step 3

Pull terms out from under the radical.

$10 \sqrt[3]{10 x}$

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