Đáp án:
$\dfrac{2^{10}.9^{41}.25^{23}}{3^{50}.15^{35}.10^9}$$=\dfrac{50}{27}$
Giải thích các bước giải:
$\dfrac{2^{10}.9^{41}.25^{23}}{3^{50}.15^{35}.10^9}$
$=\dfrac{2^{10}.(3^2)^{41}.(5^2)^{23}}{3^{50}.(3.5)^{35}.(2.5)^9}$
$=\dfrac{2^{10}.3^{41.2}.5^{23.2}}{3^{50}.3^{35}.5^{35}.2^9.5^9}$
$=\dfrac{2^{10}.3^{82}.5^{46}}{3^{50+35}.5^{35+9}.2^9}$
$=\dfrac{2^{10}.3^{82}.5^{46}}{3^{85}.5^{44}.2^9}$
$=\dfrac{2^{10-9}.5^{46-44}}{3^{85-82}}$
$=\dfrac{2^{1}.5^{2}}{3^{3}}$
$=\dfrac{2.25}{27}$
$=\dfrac{50}{27}$
