Hướng dẫn trả lời:
a) Ta có:
$\text{$3^{200}$ = $(3^{2})^{100}$ = $9^{100}$.}$
$\text{$2^{300}$ = $(2^{3})^{100}$ = $8^{100}$.}$
$\text{Vì $9^{100}$ > $8^{100}$ nên $3^{200}$ > $2^{300}$.}$
$\text{Vậy $3^{200}$ > $2^{300}$.}$
b) Ta có:
$\text{$2^{91}$ = $(2^{13})^{7}$ = $8192^{7}$.}$
$\text{$5^{35}$ = $(5^{5})^{7}$ = $3125^{7}$.}$
$\text{Vì $8192^{7}$ > $3125^{7}$ nên $2^{91}$ > $5^{35}$.}$
$\text{Vậy $2^{91}$ > $5^{35}$.}$
