13^4 - 1 1^4
Use a 2-b 2 = (a-b) (a+b), a =13 2, b = 1 1 2.
=( 13^2- 1 1^2)( 13^2+ 1 1^2)
Calculation 13 2 = 169,112 =121.
=( 169- 12 1)( 169+ 12 1)
=(48)(290)
factoring
=(3x2^4)x(2x 145)
=(3x 145)x2^5
2^5 =32
The greatest power of 2 is equal to 5.
Answer: c