Simplify and write the result as a common fraction: $$\sqrt{\sqrt[3]{\sqrt{\frac{1}{4096}}}}$$
I notice that $4096 = 4^6 = 2^{12}$, so I can rewrite the fraction as $\frac{1}{2^{12}}$. Now I can use the rule that $\sqrt[a]{x^b} = x^{b/a}$ to simplify the radicals. Therefore, the final answer is $\frac{1}{2}$ as a common fraction. 