Question

Rút gọn 

72 ³ x 54 ²  trên 108 ⁴

 

Answer 1

\(\frac{72^3\times54^2}{108^4}\)

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

\(=\frac{2^9\times3^6\times2^2\times3^6}{2^8\times3^{12}}\)

\(=\frac{2^{11}\times3^{12}}{2^8\times3^{12}}\)

\(=\frac{2^3}{1}\)

\(=\frac{8}{1}=8\)