Infinite Nested Radicals
Algebra
Compute: $$\frac{2\sqrt{2\sqrt[3]{2\sqrt[4]{2\sqrt[5]{2\sqrt[6]{\dots}}}}}}{4\sqrt[4]{4\sqrt[5]{4\sqrt[6]{\dots}}}}$$
A$2^{11e-29}$
B$2^{e-1}$
C$2^{29-11e}$
D$2^{12e-30}$