Question

Am nevoie de ajutor ​

Answer 1

Răspuns:

Explicație pas cu pas:

$x = (2^{0} + 8^{21} : 16^{15} + 6 \cdot 27^{10} : 81^{7})^{63} = x = [1 + (2^{3})^{21} : (2^{4})^{15} + 6 \cdot (3^{3})^{10} : (3^{4})^{7}]^{63} = (1 + 2^{63} : 2^{60} + 6 \cdot 3^{30} : 3^{28})^{63} = (1 + 2^{63-60} + 6 \cdot 3^{30-28})^{63} = (1 + 2^{3} + 6 \cdot 3^{2})^{63} = (1 + 8 + 54)^{63} = \bf 63^{63}$

$y = (2^{2^{5}} : 4^{13} - 1)^{54} = [2^{32} : (2^{2})^{13} - 1]^{54} = (2^{32} : 2^{26} - 1)^{54} = (2^{32-26} - 1)^{54} = (2^{6} - 1)^{54} = (64 - 1)^{54} = \bf 63^{54}$

$63^{63} > 54^{63} \implies \bf x > y$