Question

Me pueden ayudar en esta operación

Answer 1

Respuesta:

$e = \sqrt[8]{1 + 2047( {2}^{11} + 1)( {2}^{22} + 1) } \\dado \: que \: 2047 = {2}^{11} </strong><strong>-</strong><strong> 1 \\ e = \sqrt[8]{1 + ( {2}^{11} - 1)( {2}^{11} + 1)( {2}^{22} + 1) } \\ e = \sqrt[8]{1 + { (({2}^{11}) }^{2} - {1}^{2} )( {2}^{22 } + 1)} \\ e = \sqrt[8]{1 + ( {2}^{22} - 1)( {2}^{22} + 1)} \\ e = \sqrt[8]{1 + { ({2}^{22}) }^{2} - {1}^{2} } \\ e = \sqrt[8]{1 + {2}^{44} - 1 } \\ e = \sqrt[8]{ {2}^{44} } \\ se \: simplifica \\ \: e = \sqrt{ {2}^{11} }$