Question

The largest power of 2 that divides 2²°°⁸ + 10²⁰⁰⁸ is?
Please show the process also....!

Answer 1

2²°°⁸ + 10²⁰⁰⁸=2²°°⁸+2²°°⁸.5²°°⁸=  2²°°⁸(1+ 5²°°⁸)  so the largest power of 2 that divides 2²°°⁸ + 10²⁰⁰⁸ is 2008                                   

Answer 2

here is your answer
2²°°⁸ + 10²⁰⁰⁸
=2²°°⁸+2²°°⁸.5²°°⁸
=  2²°°⁸(1+ 5²°°⁸)  
so the largest power of 2 that divides 2²°°⁸ + 10²⁰⁰⁸
is 2008