Question

\(B=\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)     ZZUPS NHANH NHA 

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Answer 1

\(B=\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^9.2^3.3.5}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}=\frac{2^{12}.3^{10}+2^9.2^3.3^9.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{11}.3^{11}.\left(2.3-1\right)}=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.5}\)

=\(\frac{2^{12}.3^{10}.6}{2^{11}.3^{11}.5}=\frac{2^{13}.3^{11}}{2^{11}.3^{11}.5}=\frac{2^2}{5}=\frac{4}{5}\)