Simplify the Radical Expression m/( fourth root of m)

$\frac{m}{\sqrt[4]{m}}$

Multiply $\frac{m}{\sqrt[4]{m}}$ by $\frac{{\sqrt[4]{m}}^{3}}{{\sqrt[4]{m}}^{3}}$ .

$\frac{m}{\sqrt[4]{m}} \cdot \frac{{\sqrt[4]{m}}^{3}}{{\sqrt[4]{m}}^{3}}$

Combine and simplify the denominator.

Multiply $\frac{m}{\sqrt[4]{m}}$ by $\frac{{\sqrt[4]{m}}^{3}}{{\sqrt[4]{m}}^{3}}$ .

$\frac{m {\sqrt[4]{m}}^{3}}{\sqrt[4]{m} {\sqrt[4]{m}}^{3}}$

Raise $\sqrt[4]{m}$ to the power of $1$ .

$\frac{m {\sqrt[4]{m}}^{3}}{{\sqrt[4]{m}}^{1} {\sqrt[4]{m}}^{3}}$

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

$\frac{m {\sqrt[4]{m}}^{3}}{{\sqrt[4]{m}}^{1 + 3}}$

Add $1$ and $3$ .

$\frac{m {\sqrt[4]{m}}^{3}}{{\sqrt[4]{m}}^{4}}$

Rewrite ${\sqrt[4]{m}}^{4}$ as $m$ .

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{m}$ as $m^{\frac{1}{4}}$ .

$\frac{m {\sqrt[4]{m}}^{3}}{{(m^{\frac{1}{4}})}^{4}}$

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

$\frac{m {\sqrt[4]{m}}^{3}}{m^{\frac{1}{4} \cdot 4}}$

Combine $\frac{1}{4}$ and $4$ .

$\frac{m {\sqrt[4]{m}}^{3}}{m^{\frac{4}{4}}}$

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{m {\sqrt[4]{m}}^{3}}{m^{\frac{4}{4}}}$

Rewrite the expression.

$\frac{m {\sqrt[4]{m}}^{3}}{m^{1}}$

Simplify.

$\frac{m {\sqrt[4]{m}}^{3}}{m}$

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{m {\sqrt[4]{m}}^{3}}{m}$

Divide ${\sqrt[4]{m}}^{3}$ by $1$ .

${\sqrt[4]{m}}^{3}$

Rewrite ${\sqrt[4]{m}}^{3}$ as ${(m^{3})}^{\frac{1}{4}}$ .

$\sqrt[4]{m^{3}}$