Question

[Nguyễn Cao Minh Khôi]

4^6x3^4x9^5 trên 6^12

Answer 1

[⚽Trần Quốc🏆Huy🥇]

\(\frac{4^6\times3^4\times9^5}{6^{12}}\)

\(=\frac{\left(2^2\right)^2\times3^4\times\left(3^2\right)^5}{\left(2\times3\right)^{12}}\)

\(=\frac{2^4\times3^4\times3^{10}}{2^{12}\times3^{12}}\)

\(=\frac{2^4\times3^{14}}{2^{12}\times3^{12}}\)

\(=\frac{3^2}{2^8}=\frac{9}{256}\)

Answer 2

[⚽Trần Quốc🏆Huy🥇]

Vừa mình trả lời nhầm đây là đáp án :

\(\frac{4^6\times3^4\times9^5}{6^{12}}\)

\(=\frac{\left(2^2\right)^6\times3^4\times\left(3^2\right)^5}{\left(2\times3\right)^{12}}\)​

\(=\frac{2^{12}\times3^4\times3^{10}}{2^{12}\times3^{12}}\)

\(=\frac{2^{12}\times3^{14}}{2^{12}\times3^{12}}\)

\(=3^2=9\)

\(\frac{4^6\times3^4\times9^5}{6^{12}}\)