If a and b are integers and (2^a)(3^b) is a factor of…

If a and b are integers and (2^a)(3^b) is a factor of 900^40, what is the largest possible value of ab?

This problem repeats another one in the library (at most with different numbers), so it's left out of browsing.

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #6453