Đáp án:
$25$
Giải thích các bước giải:
$\dfrac{25.3^8+3^{10}.15}{2^5.3^4.45}+\dfrac{25.2^{11}+2^{12}.10}{2^4.3^2.40}$
$=\dfrac{5^2.3^8+3^{10}.3.5}{2^5.3^4.3^2.5}+\dfrac{5^2.2^{11}+2^{12}.2.5}{2^4.3^2.2^3.5}$
$=\dfrac{5^2.3^8+3^{11}.5}{2^5.3^6.5}+\dfrac{5^2.2^{11}+2^{13}.5}{2^7.3^2.5}$
$=\dfrac{5.3^8(5+3^3)}{2^5.3^6.5}+\dfrac{5.2^{11}(5+2^2)}{2^7.3^2.5}$
$=\dfrac{5.3^8.2^5}{2^5.3^6.5}+\dfrac{5.2^{11}.3^2}{2^7.3^2.5}$
$=3^2+2^4$
$=9+16$
$=25$
