Question

Chứng minh rằng : \(12^8\times9^{12}=18^{16}\)

Answer 1

\(12^8.9^{12}=\left(2^2\right)^8.3^8.\left(3^2\right)^{12}=2^{16}.3^8.3^{24}=2^{16}.3^{32}=2^{16}.\left(3^2\right)^{16}=2^{16}.9^{16}=18^{16}\)

Vậy ta có đpcm: \(12^8.9^{12}=18^{16}\)