Answer:
(C) 32
Step-by-step explanation:
The difference of 4th powers can be factored as ...
a^4 -b^4 = (a -b)(a +b)(a^2 +b^2)
For a=13, b=11, this becomes ...
13^4 -11^4 = (13 -11)(13 +11)(13^2 +11^2)
= 2(24)(169 +121)
= 2(8·3)(290) = 2^5 · 3 · 5 · 29
The largest power of 2 that is a factor is 2^5 = 32.
