Question

tìm n biết 

-4/5 mũ n nhân 16/9 mũ 2 =-64/27 mũ 2

Answer 1

Sửa đề : \(\left(-\frac{4}{3}\right)^n.\left(\frac{16}{9}\right)^2=\left(-\frac{64}{27}\right)^2\)

=> \(\left(-\frac{4}{3}\right)^n.\left[\left(-\frac{4}{3}\right)^2\right]^2=\left[\left(-\frac{4}{3}\right)^3\right]^2\)

=> \(\left(-\frac{4}{3}\right)^n.\left(-\frac{4}{3}\right)^4=\left(-\frac{4}{3}\right)^6\)

=> \(\left(-\frac{4}{3}\right)^n=\left(-\frac{4}{3}\right)^2\)

=> n = 2