Algebra Examples

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

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

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

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Step 1.1.1

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

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

Step 1.1.2

Multiply by $1$ .

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

Step 1.1.3

Cancel the common factor.

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

Step 1.1.4

Rewrite the expression.

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

Step 1.2

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

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

Step 2

Factor out $m^{7}$ .

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

Step 3

Pull terms out from under the radical.

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