The largest power of 2 that divides 2²°°⁸ + 10²⁰⁰⁸ is?
Please show the process also....!
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The largest power of 2 that divides 2²°°⁸ + 10²⁰⁰⁸ is?
Please show the process also....!
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Verified 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 20082²°°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