AMC 12A 2020 Problem 13

There are integers a, b, and c, each greater than 1 , such that

\sqrt[a]{N \sqrt[b]{N \sqrt[c]{N}}}=\sqrt[36]{N^{25}}

for all N>1. What is b ?

Answer Choices
A. 2
B. 3
C. 4
D. 5
E. 6