Question

comparati numerele cu explicatii
3^38cu 2^59-2^58-2^57

Answer 1

$2^{59}- 2^{58} - 2^{57}= 2^{57} ( 2^{2} - 2^{1} -1)= 2^{57} (4-2-1)= 2^{57} *1= 2^{57}$
cum nu avem aceeasi baza sau acelasi exponent, aducem la baza sau exponent; in cazul nostru exponent
57=3*19
38=2*19
$2^{57} = (2^{3} )^{19} = 8^{19}$
$3^{38}=( 3^{2} ) ^{19} = 9^{19}$
$8^{19} \ \textless \ 9^{19}$