Question

aflati ultimele 2001cifre ale nr 8730 la puterea 2000

Answer 1

    
$8730^{2000} = \\ =(873 *10)^{2000}= \\ =873^{2000} * 10^{2000}= \\ =873^{(4*500)} * 10^{2000}= \\ =(873^{4})^{500} * 10^{2000} \\ U(873^{4}) = U(3^{4}) = U(81) =1 \\ =>U[(873^{4})^{500}] = 1 \\ => ultimele\,2001\,\,cifre\,\,ale\,\,numarului: \\ (873^{4})^{500} * 10^{2000} \\ sunt: \\ 1\,\,urmat\,\,de\,\,2000\,\,de\,\,zerouri.$