Algebra Examples

$\sqrt[7]{\frac{n^{26}}{n^{3}}}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Reduce the expression $\frac{n^{26}}{n^{3}}$ by cancelling the common factors.

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Step 1.1.1

Factor $n^{3}$ out of $n^{26}$ .

$\sqrt[7]{\frac{n^{3} n^{23}}{n^{3}}}$

Step 1.1.2

Multiply by $1$ .

$\sqrt[7]{\frac{n^{3} n^{23}}{n^{3} \cdot 1}}$

Step 1.1.3

Cancel the common factor.

$\sqrt[7]{\frac{n^{3} n^{23}}{n^{3} \cdot 1}}$

Step 1.1.4

Rewrite the expression.

$\sqrt[7]{\frac{n^{23}}{1}}$

Step 1.2

Divide $n^{23}$ by $1$ .

$\sqrt[7]{n^{23}}$

Step 2

Rewrite $n^{23}$ as ${(n^{3})}^{7} n^{2}$ .

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Step 2.1

Factor out $n^{21}$ .

$\sqrt[7]{n^{21} n^{2}}$

Step 2.2

Rewrite $n^{21}$ as ${(n^{3})}^{7}$ .

$\sqrt[7]{{(n^{3})}^{7} n^{2}}$

Step 3

Pull terms out from under the radical.

$n^{3} \sqrt[7]{n^{2}}$