[toán 6] rút gọn

M

maloimi456

$\frac{5^2.6^{11}.16^2+6^2.12^6.15^2}{2.6^{11}.10^4-81^2.960^3}$

=$\frac{5^2.(2^{11}.3^{11}).2^8+2^2.3^2.(2^{12}.3^6).3^2.5^2}{2. (2^{11}.3^{11}).(2^4.5^4)-3^8.(2^{18}.3^3.5^3)}$

=$\frac{5^2.2^{19}.3^{11}+3^{10}.2^{14}.5^2}{2^{16}.3^{11}.5^4-3^{11}.2^{18}.5^3}$

=$\frac{5^2.2^{14}.3^{10}.(3.2^{5}+1)}{2^{16}.3^{11}.5^3.(5-2^2)}$

=$\frac{97}{2^2.3.5.1}$

=$\frac{97}{60}$
 
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