Simplify fourth root of 1/16m^12x^16

$\sqrt[4]{\frac{1}{16} m^{12} x^{16}}$

Step 1

Combine $\frac{1}{16}$ and $m^{12}$ .

$\sqrt[4]{\frac{m^{12}}{16} x^{16}}$

Step 2

Combine $\frac{m^{12}}{16}$ and $x^{16}$ .

$\sqrt[4]{\frac{m^{12} x^{16}}{16}}$

Step 3

Rewrite $m^{12} x^{16}$ as ${(m^{3} x^{4})}^{4}$ .

$\sqrt[4]{\frac{{(m^{3} x^{4})}^{4}}{16}}$

Step 4

Rewrite $16$ as $2^{4}$ .

$\sqrt[4]{\frac{{(m^{3} x^{4})}^{4}}{2^{4}}}$

Step 5

Rewrite $\frac{{(m^{3} x^{4})}^{4}}{2^{4}}$ as ${(\frac{m^{3} x^{4}}{2})}^{4}$ .

$\sqrt[4]{{(\frac{m^{3} x^{4}}{2})}^{4}}$

Step 6

Pull terms out from under the radical, assuming positive real numbers.

$\frac{m^{3} x^{4}}{2}$