Simplify the Radical Expression 16/( fourth root of 16^3)

$\frac{16}{\sqrt[4]{16^{3}}}$

Simplify the denominator.

Raise $16$ to the power of $3$ .

$\frac{16}{\sqrt[4]{4096}}$

Rewrite $4096$ as $8^{4}$ .

$\frac{16}{\sqrt[4]{8^{4}}}$

Pull terms out from under the radical.

$\frac{16}{| 8 |}$

The absolute value is the distance between a number and zero. The distance between $0$ and $8$ is $8$ .

$\frac{16}{8}$

Divide $16$ by $8$ .

$2$