Giải thích các bước giải:
Ta có :
$A=\dfrac{81^4.3^{10}.27^5.3^{12}}{9^9:9^3.243^3}$
$\to A=\dfrac{(3^4)^4.3^{10}.(3^3)^5.3^{12}}{9^{9-3}.(3^5)^3}$
$\to A=\dfrac{3^{4.4}.3^{10}.3^{3.5}.3^{12}}{9^{6}.3^{5.3}}$
$\to A=\dfrac{3^{16}.3^{10}.3^{15}.3^{12}}{(3^2)^{6}.3^{15}}$
$\to A=\dfrac{3^{16+10+15+12}}{3^{16}.3^{15}}$
$\to A=\dfrac{3^{16+10+15+12}}{3^{16+15}}$
$\to A=\dfrac{3^{53}}{3^{31}}$
$\to A=3^{53-31}$
$\to A=3^{22}$
