Question

2×2²×...×2²⁰⁰²□(8⁷⁷)⁸⁶⁷¹

va rog ajutatima trebuie comparat
dau 15 puncte
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Answer 1

Explicație pas cu pas:

$2 \times {2}^{2} \times...\times {2}^{2002} = {2}^{1 + 2 + ... + 2002} = {2}^{ \frac{2002 \times 2003}{2} } = {2}^{2005003}$

${( {8}^{77} )}^{8671} = {( {( {2}^{3} )}^{77} )}^{8671} = {2}^{3 \times 77 \times 8671} = {2}^{2003001}$

=>

$2 \times {2}^{2} \times...\times {2}^{2002} > {( {8}^{77} )}^{8671}$