Question

Cho mk hỏi câu C=\(\dfrac{4^6.3^4.9^5}{6^{12}}\)vs ạ

Answer 1

Ta có : \(C=\dfrac{4^6.3^4.9^5}{6^{12}}=\dfrac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{\left(2.3\right)^{12}}=\dfrac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=3^{4+10-12}=3^2=9\)

Answer 2

\(C=\dfrac{4^6\cdot3^4\cdot9^5}{6^{12}}=\dfrac{2^{12}\cdot3^4\cdot3^{10}}{3^{12}\cdot2^{12}}=3^2=9\)

Answer 3

\(C=\dfrac{4^6.3^4.9^5}{6^{12}}\) 

\(C=\dfrac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{\left(2.3\right)^{12}}\) 

\(C=\dfrac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}\) 

\(C=\dfrac{2^{12}.3^{14}}{2^{12}.3^{12}}\) 

\(C=3^2=9\)