Răspuns:
972 = 2² × 3⁵
x=2
y=5
valoare raportului y/x=5/2=2,5
[tex]\it\left.\begin{aligned}972\Big|2\ \\486\Big|2\ \\243\Big|3^2\\ 27\ \Big|3^3\\1\ \ \ \ \ \end{aligned}\right\} \Rightarrow 2^x\cdot3^y=2^2\cdot3^5 \Rightarrow \ \ y=5,\ x=2\ \ \Rightarrow \dfrac{y}{x}=\dfrac{5}{2}=2,5[/tex]
