Question

Rút gọn \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)

Answer 1

A=(2^2)^6.(3^2)^5+2^9.3^9.2^3.5.3/2^12.3^10+2^11.3^11

=2^12.3^10+2^12.3^10.5/2^12.3^10+2^11.3.3^10

=2^12.3^10.(1+5)/2^11.3^10.(2+3)

=2^11.2.6/2^11.5

=12/5

Answer 2

xin lỗi mình quên them dấu - 

Answer 3

toi la Hai ha ha

Answer 4

\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^9.\left(2^3.3.5\right)}{8^4.3^{12}-6^{11}}=\frac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)\(=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}=\frac{2^{12}.3^{10}.6}{2^{11}.3^{11}.5}=\frac{2.3.6}{5}=\frac{36}{5}\)

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