Simplify the Radical Expression seventh root of (n^26)/(n^3)

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

Reduce the expression by cancelling the common factors.

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

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

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

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Factor out $n^{21}$ .

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

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

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

Pull terms out from under the radical.

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