Question

Развязать неровность

$(frac{1}{2})^{x}*(frac{16}{27})^{x}=(frac{3}{2})^{3}$

Answer 1

$a^n*a^m=a^{m+n}\a^n*b^n=(ab)^n\\(frac{1}{2})^{x}*(frac{16}{27})^{x}=(frac{3}{2})^{3}\\frac{8}{27}^x=frac{27}{8}\x=-1$