Simplify (m^2)/( cube root of m)

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

Multiply $\frac{m^{2}}{\sqrt[3]{m}}$ by $\frac{{\sqrt[3]{m}}^{2}}{{\sqrt[3]{m}}^{2}}$ .

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

Combine and simplify the denominator.

Multiply $\frac{m^{2}}{\sqrt[3]{m}}$ by $\frac{{\sqrt[3]{m}}^{2}}{{\sqrt[3]{m}}^{2}}$ .

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

Raise $\sqrt[3]{m}$ to the power of $1$ .

$\frac{m^{2} {\sqrt[3]{m}}^{2}}{{\sqrt[3]{m}}^{1} {\sqrt[3]{m}}^{2}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{m^{2} {\sqrt[3]{m}}^{2}}{{\sqrt[3]{m}}^{1 + 2}}$

Add $1$ and $2$ .

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

Rewrite ${\sqrt[3]{m}}^{3}$ as $m$ .

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{m}$ as $m^{\frac{1}{3}}$ .

$\frac{m^{2} {\sqrt[3]{m}}^{2}}{{(m^{\frac{1}{3}})}^{3}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{m^{2} {\sqrt[3]{m}}^{2}}{m^{\frac{1}{3} \cdot 3}}$

Combine $\frac{1}{3}$ and $3$ .

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

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{m^{2} {\sqrt[3]{m}}^{2}}{m^{1}}$

Simplify.

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

Cancel the common factor of $m^{2}$ and $m$ .

Factor $m$ out of $m^{2} {\sqrt[3]{m}}^{2}$ .

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

Cancel the common factors.

Raise $m$ to the power of $1$ .

$\frac{m (m {\sqrt[3]{m}}^{2})}{m^{1}}$

Factor $m$ out of $m^{1}$ .

$\frac{m (m {\sqrt[3]{m}}^{2})}{m \cdot 1}$

Cancel the common factor.

$\frac{m (m {\sqrt[3]{m}}^{2})}{m \cdot 1}$

Rewrite the expression.

$\frac{m {\sqrt[3]{m}}^{2}}{1}$

Divide $m {\sqrt[3]{m}}^{2}$ by $1$ .

$m {\sqrt[3]{m}}^{2}$

Rewrite ${\sqrt[3]{m}}^{2}$ as ${(m^{2})}^{\frac{1}{3}}$ .

$m \sqrt[3]{m^{2}}$