Algebra Examples

$\sqrt[10]{3^{5}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[10]{3^{5}}$ as $3^{\frac{5}{10}}$ .

$3^{\frac{5}{10}}$

Step 2

Cancel the common factor of $5$ and $10$ .

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Step 2.1

Factor $5$ out of $5$ .

$3^{\frac{5 (1)}{10}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $10$ .

$3^{\frac{5 \cdot 1}{5 \cdot 2}}$

Step 2.2.2

Cancel the common factor.

$3^{\frac{5 \cdot 1}{5 \cdot 2}}$

Step 2.2.3

Rewrite the expression.

$3^{\frac{1}{2}}$