$\frac{5^{2}.6^{9}.10+6^{5}.2^{3}.15^{3}}{5^{2}.6^{8}.10-2.6^{8}.10^{3}}$

Đáp án+Giải thích các bước giải:

$\frac{5^{2}.6^{9}.10+6^{5}.2^{3}.15^{3}}{5^{2}.6^{8}.10-2.6^{8}.10^{3}}$ 

= $\frac{5^{2}.2^{9}.3^{9}.2.5+2^{5}.3^{5}.2^{3}.2^{3}.3^{3}.5^{3}}{5^{2}.2^{8}.3^{8}.2.5-2.2^{8}.3^{8}.2^{3}.5^{3}}$ 

= $\frac{2^{10}.3^{9}.5^{3}+2^{8}.3^{8}.5^{3}}{2^{9}.3^{8}.5^{3}-2^{12}.3^{8}.5^{3}}$ 

= $\frac{2^{8}.3^{8}.5^{3}.(12+1)}{2^{8}.3^{8}.5^{3}.(2-16)}$ 

= $\frac{12+1}{2-16}$ 

= $\frac{-13}{14}$