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The largest power of 2 that divides 2²°°⁸ + 10²⁰⁰⁸ is?

Please show the process also....!

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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

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