Answer
$\frac{1}{2}$
Work Step by Step
The given expression is
$=(\frac{1}{16})^{\frac{1}{4}}$
$=(\frac{1}{2^4})^{\frac{1}{4}}$
Use $(\frac{a}{b})^n=\frac{a^n}{b^n}$.
$=\frac{1}{(2^4)^{\frac{1}{4}}}$
Use $(a^n)^m=a^{n\cdot m} $
$=\frac{1}{2^{4\cdot \frac{1}{4}}}$
Simplify.
$=\frac{1}{2^{1}}$
$=\frac{1}{2}$.
