Algebra Examples

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

Step 1

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

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Step 1.1

Factor out $m^{6}$ .

$7 \sqrt[3]{m^{6} m} + 3 m^{\frac{7}{3}}$

Step 1.2

Rewrite $m^{6}$ as ${(m^{2})}^{3}$ .

$7 \sqrt[3]{{(m^{2})}^{3} m} + 3 m^{\frac{7}{3}}$

$7 \sqrt[3]{{(m^{2})}^{3} m} + 3 m^{\frac{7}{3}}$

Step 2

Pull terms out from under the radical.

$7 m^{2} \sqrt[3]{m} + 3 m^{\frac{7}{3}}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$