Question

Tính giá trị biểu thức :

\(A=\frac{4^6\cdot3^4\cdot9^5}{6^{12}}\)                                            ;                                                     \(B=\frac{21^2\cdot14\cdot125}{35^3\cdot6}\)

Answer 1

\(A=\frac{4^6.3^4.9^5}{6^{12}}=\frac{\left(2^2\right)^6.3^3.\left(3^2\right)^5}{6^{12}}\)

\(=\frac{2^{12}.3^3.3^{10}}{6^{12}}=3^{13}.3^{12}=3^{25}\)

Answer 2

\(A=\frac{4^6.3^4.9^5}{6^{12}}\)

\(A=\frac{2^6.2^6.3^4.3^5.3^5}{2^{12}.3^{12}}\)

\(A=\frac{3^3.3^5}{1}\)

\(A=3^8\)
 

\(B=\frac{21^2.14.125}{35^3.6}\)

\(B=\frac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}\)

\(B=\frac{3.1.1.1.1}{1.1.1.1}\)

\(B=3\)