hai chu so tan cung cua 2^1000 la; A 06 B 66 C 76 D 86 26/09/2021 Bởi Serenity hai chu so tan cung cua 2^1000 la; A 06 B 66 C 76 D 86
Đáp án: C Giải thích các bước giải: $\begin{array}{l} + ){2^{1000}} = {2^{20.50}} = {\left( {{2^{20}}} \right)^{50}}\\{2^{20}} \equiv 76\left( {\bmod 100} \right) \Rightarrow {2^{1000}} \equiv {76^{50}}\left( {\bmod 100} \right)\left( 1 \right)\\ + ){76^{50}} = {76^{5.10}} = {\left( {{{76}^5}} \right)^{10}}\\{76^5} \equiv 76\left( {\bmod 100} \right)\\ \Rightarrow {76^{50}} \equiv {76^{10}} = {\left( {{{76}^5}} \right)^2} \equiv {76^2} \equiv 76\left( {\bmod 100} \right)\left( 2 \right)\\\left( 1 \right),\left( 2 \right) \Rightarrow {2^{1000}} \equiv 76\left( {\bmod 100} \right) \Rightarrow C\end{array}$ Bình luận
Đáp án: C
Giải thích các bước giải:
$\begin{array}{l}
+ ){2^{1000}} = {2^{20.50}} = {\left( {{2^{20}}} \right)^{50}}\\
{2^{20}} \equiv 76\left( {\bmod 100} \right) \Rightarrow {2^{1000}} \equiv {76^{50}}\left( {\bmod 100} \right)\left( 1 \right)\\
+ ){76^{50}} = {76^{5.10}} = {\left( {{{76}^5}} \right)^{10}}\\
{76^5} \equiv 76\left( {\bmod 100} \right)\\
\Rightarrow {76^{50}} \equiv {76^{10}} = {\left( {{{76}^5}} \right)^2} \equiv {76^2} \equiv 76\left( {\bmod 100} \right)\left( 2 \right)\\
\left( 1 \right),\left( 2 \right) \Rightarrow {2^{1000}} \equiv 76\left( {\bmod 100} \right) \Rightarrow C
\end{array}$
Đáp án: A. 06