Answer
not a real number
Work Step by Step
$(-\frac{1}{36})^{-\frac{1}{4}}=\frac{1}{(-\frac{1}{36})^{\frac{1}{4}}}=\frac{1}{\sqrt[4] (-\frac{1}{36})}$
We cannot simplify any further, as $\sqrt[4] (-\frac{1}{36})$ is not a real number. We cannot find a number $a$ such that $a^{2}=-\frac{1}{36}$.