Simplify seventh root of (m^16)/(m^6)

$\sqrt[7]{\frac{m^{16}}{m^{6}}}$

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{m^{16}}{m^{6}}$ by cancelling the common factors.

Factor $m^{6}$ out of $m^{16}$ .

$\sqrt[7]{\frac{m^{6} m^{10}}{m^{6}}}$

Multiply by $1$ .

$\sqrt[7]{\frac{m^{6} m^{10}}{m^{6} \cdot 1}}$

Cancel the common factor.

$\sqrt[7]{\frac{m^{6} m^{10}}{m^{6} \cdot 1}}$

Rewrite the expression.

$\sqrt[7]{\frac{m^{10}}{1}}$

Divide $m^{10}$ by $1$ .

$\sqrt[7]{m^{10}}$

Factor out $m^{7}$ .

$\sqrt[7]{m^{7} m^{3}}$

Pull terms out from under the radical.

$m \sqrt[7]{m^{3}}$