Đáp án:
$\dfrac{9}{4}$
Giải thích các bước giải:
$\dfrac{2^{500}.9^{206}}{6^{410}.16^{23}}$
$= \dfrac{2^{500}.(3^2)^{206}}{(2.3)^{410}.(2^4)^{23}}$
$= \dfrac{2^{500}.3^{412}}{2^{410}.3^{410}.2^{92}}$
$= \dfrac{2^{500}.3^{412}}{2^{502}.3^{410}}$
$= 2^{500 - 502}.3^{412 - 410}$
$= 2^{-2}.3^2$
$= \dfrac{3^2}{2^2}$
$= \dfrac{9}{4}$
