$10^{10}$ $\textrm{và}$ $48.50^{5}$
$10^{10} = (10^{2})^{5} = 100^{5} = (50.2)^{5} = 50^{5} . 2^{5}$ = $50^{5}. 32$
$\textrm{Vì 32 < 48 và}$ $50^{5} = 50^{5}$
$⇒ 50^{5} . 32 < 50^{5} = 50^{5}$ $\textrm{hay}$ $(10^{2})^{5} < 48.50^{5}$
$\textrm{Vậy}$ $10^{10} < 48.50^{5}$
(*À quên, HAPPY NEW YEAR*)