Wie viele verschiedene Einerziffern können die Zahlen k hoch 2014 für natürliche Zahlen k größer Null annehmen? ( zur Erklärung 5 hoch 4 = 5x5x5x5)
1^2 = 1 ; 2^2 = 4 ; 3^2=9 ; 4^2=16 ; 5^2=25 ; 6^2 = 36 ; 7^2 = 49 ; 8^2=64 ; 9^2 = 81; 10^2 = 100 ;
$${{\mathtt{5}}}^{{\mathtt{6}}} = {\mathtt{15\,625}}$$ ; $${{\mathtt{12}}}^{{\mathtt{4}}} = {\mathtt{20\,736}}$$ ; $${{\mathtt{3}}}^{{\mathtt{10}}} = {\mathtt{59\,049}}$$ ; $${{\mathtt{7}}}^{{\mathtt{8}}} = {\mathtt{5\,764\,801}}$$
1^2 = 1 ; 2^2 = 4 ; 3^2=9 ; 4^2=16 ; 5^2=25 ; 6^2 = 36 ; 7^2 = 49 ; 8^2=64 ; 9^2 = 81; 10^2 = 100 ;
$${{\mathtt{5}}}^{{\mathtt{6}}} = {\mathtt{15\,625}}$$ ; $${{\mathtt{12}}}^{{\mathtt{4}}} = {\mathtt{20\,736}}$$ ; $${{\mathtt{3}}}^{{\mathtt{10}}} = {\mathtt{59\,049}}$$ ; $${{\mathtt{7}}}^{{\mathtt{8}}} = {\mathtt{5\,764\,801}}$$